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2014 | OriginalPaper | Buchkapitel

2. Computational Methods for Unsteady Flows

verfasst von : P. G. Tucker

Erschienen in: Unsteady Computational Fluid Dynamics in Aeronautics

Verlag: Springer Netherlands

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Abstract

Computational methods for unsteady flows are discussed. These range from standard to modern advanced approaches. An extensive overview of temporal discretizations is given. Then adaptive time stepping approaches are outlined, including adjoint based methods. Spatial schemes are discussed, including modern higher order and resolution approaches. Numerical techniques for both density and pressure-based solvers are considered. The critical issue of numerical smoothing and its control are outlined. Also, the strong relationship between grid topology and solution accuracy is considered for a range of numerical schemes. Simultaneous equations solvers and also boundary conditions are discussed. For the latter there is a strong focus on non-reflective conditions. A survey of work suggests that even though a wide range of schemes is found, just small subsets of these find practical use.

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Literatur
Zurück zum Zitat A. Agarwal, P.J. Morris, Direct simulation of acoustic scattering on a rotorcraft fuselage, in Proceedings of 6th AIAA/CEAS Aeroacoustics Conference, Lahaina, Hawaii, 12–14 June 2000. AIAA 2000–2030 A. Agarwal, P.J. Morris, Direct simulation of acoustic scattering on a rotorcraft fuselage, in Proceedings of 6th AIAA/CEAS Aeroacoustics Conference, Lahaina, Hawaii, 12–14 June 2000. AIAA 2000–2030
Zurück zum Zitat Y. Allaneau, A. Jameson, Direct numerical simulations of a two-dimensional viscous flow in a shocktube using a kinetic energy preserving scheme, in Proceedings of 19th AIAA Computational Fluid Dynamics, San Antonio, Texas, 22–25 June 2010a. AIAA 2009–3797 Y. Allaneau, A. Jameson, Direct numerical simulations of a two-dimensional viscous flow in a shocktube using a kinetic energy preserving scheme, in Proceedings of 19th AIAA Computational Fluid Dynamics, San Antonio, Texas, 22–25 June 2010a. AIAA 2009–3797
Zurück zum Zitat Y. Allaneau, A. Jameson, Direct numerical simulations of plunging airfoils, in Proceedings of 48th AIAA Aerospace Sciences Meeting Including the New Horizons Forum and Aerospace Exposition, Orlando, Florida, 4–7 January 2010b. AIAA 2010–728 Y. Allaneau, A. Jameson, Direct numerical simulations of plunging airfoils, in Proceedings of 48th AIAA Aerospace Sciences Meeting Including the New Horizons Forum and Aerospace Exposition, Orlando, Florida, 4–7 January 2010b. AIAA 2010–728
Zurück zum Zitat A. Arakawa, Computational design for long-term numerical integration of the equations of fluid motion: two-dimensional incompressible flow. Part I. J. Comput. Phys. 1(1), 119–143 (1966) MATH A. Arakawa, Computational design for long-term numerical integration of the equations of fluid motion: two-dimensional incompressible flow. Part I. J. Comput. Phys. 1(1), 119–143 (1966) MATH
Zurück zum Zitat U.M. Ascher, L.R. Petzold, Computer Methods for Ordinary Differential Equations and Differential-Algebraic Equations, vol. 61 (SIAM, Philadelphia, 1998) MATH U.M. Ascher, L.R. Petzold, Computer Methods for Ordinary Differential Equations and Differential-Algebraic Equations, vol. 61 (SIAM, Philadelphia, 1998) MATH
Zurück zum Zitat G. Ashcroft, X. Zhang, A computational investigation of the noise radiated by flow-induced cavity oscillations. AIAA Pap. 512 (2001) G. Ashcroft, X. Zhang, A computational investigation of the noise radiated by flow-induced cavity oscillations. AIAA Pap. 512 (2001)
Zurück zum Zitat H.L. Atkins, D.P. Lockard, A high-order method using unstructured grids for the aeroacoustic analysis of realistic aircraft configurations. AIAA Pap. 99–1945 (1999) H.L. Atkins, D.P. Lockard, A high-order method using unstructured grids for the aeroacoustic analysis of realistic aircraft configurations. AIAA Pap. 99–1945 (1999)
Zurück zum Zitat I.E. Barton, R. Kirby, Finite difference scheme for the solution of fluid flow problems on non-staggered grids. Int. J. Numer. Methods Fluids 33(7), 939–959 (2000) MathSciNetMATH I.E. Barton, R. Kirby, Finite difference scheme for the solution of fluid flow problems on non-staggered grids. Int. J. Numer. Methods Fluids 33(7), 939–959 (2000) MathSciNetMATH
Zurück zum Zitat R.M. Beam, R.F. Warming, An implicit finite-difference algorithm for hyperbolic systems in conservation-law form. J. Comput. Phys. 22(1), 87–110 (1976) MathSciNetMATH R.M. Beam, R.F. Warming, An implicit finite-difference algorithm for hyperbolic systems in conservation-law form. J. Comput. Phys. 22(1), 87–110 (1976) MathSciNetMATH
Zurück zum Zitat R.M. Beam, R.F. Warming, Implicit numerical methods for the compressible Navier-Stokes and Euler equations, in Computational Fluid Dynamics. Lecture Series, vol. 1, Von Karman Institute for Fluid Dynamics, Belgium, 29 March–2 April 1982 R.M. Beam, R.F. Warming, Implicit numerical methods for the compressible Navier-Stokes and Euler equations, in Computational Fluid Dynamics. Lecture Series, vol. 1, Von Karman Institute for Fluid Dynamics, Belgium, 29 March–2 April 1982
Zurück zum Zitat B.C. Bell, K.S. Surana, A space–time coupled p-version least-squares finite element formulation for unsteady fluid dynamics problems. Int. J. Numer. Methods Eng. 37(20), 3545–3569 (1994) MathSciNetMATH B.C. Bell, K.S. Surana, A space–time coupled p-version least-squares finite element formulation for unsteady fluid dynamics problems. Int. J. Numer. Methods Eng. 37(20), 3545–3569 (1994) MathSciNetMATH
Zurück zum Zitat A. Birkefeld, C.D. Munz, Simulations of airfoil noise with the discontinuous Galerkin solver NoisSol. ERCOFTAC Bull. 90, 28–33 (2012) A. Birkefeld, C.D. Munz, Simulations of airfoil noise with the discontinuous Galerkin solver NoisSol. ERCOFTAC Bull. 90, 28–33 (2012)
Zurück zum Zitat G.A. Blaisdell, E.T. Spyropoulos, J.H. Qin, The effect of the formulation of nonlinear terms on aliasing errors in spectral methods. Appl. Numer. Math. 21(3), 207–219 (1996) MathSciNetMATH G.A. Blaisdell, E.T. Spyropoulos, J.H. Qin, The effect of the formulation of nonlinear terms on aliasing errors in spectral methods. Appl. Numer. Math. 21(3), 207–219 (1996) MathSciNetMATH
Zurück zum Zitat C. Bogey, C. Bailly, A family of low dispersive and low dissipative explicit schemes for flow and noise computations. J. Comput. Phys. 194(1), 194–214 (2004) MATH C. Bogey, C. Bailly, A family of low dispersive and low dissipative explicit schemes for flow and noise computations. J. Comput. Phys. 194(1), 194–214 (2004) MATH
Zurück zum Zitat D.L. Book, J.P. Boris, K. Hain, Flux-corrected transport II: generalizations of the method. J. Comput. Phys. 18(3), 248–283 (1975) MATH D.L. Book, J.P. Boris, K. Hain, Flux-corrected transport II: generalizations of the method. J. Comput. Phys. 18(3), 248–283 (1975) MATH
Zurück zum Zitat J.P. Boris, D.L. Book, Flux-corrected transport. I. SHASTA, a fluid transport algorithm that works. J. Comput. Phys. 11(1), 38–69 (1973) MATH J.P. Boris, D.L. Book, Flux-corrected transport. I. SHASTA, a fluid transport algorithm that works. J. Comput. Phys. 11(1), 38–69 (1973) MATH
Zurück zum Zitat A. Brandt, Multilevel adaptive computations in fluid dynamics. AIAA J. 18(10), 1165–1172 (1980) MathSciNetMATH A. Brandt, Multilevel adaptive computations in fluid dynamics. AIAA J. 18(10), 1165–1172 (1980) MathSciNetMATH
Zurück zum Zitat K.E. Brenan, S.L.V. Campbell, L.R. Petzold, Numerical Solution of Initial-Value Problems in Differential-Algebraic Equations (SIAM, Philadelphia, 1996) MATH K.E. Brenan, S.L.V. Campbell, L.R. Petzold, Numerical Solution of Initial-Value Problems in Differential-Algebraic Equations (SIAM, Philadelphia, 1996) MATH
Zurück zum Zitat W. Briley, H. McDonald, Solution of the three-dimensional compressible Navier-Stokes equations by an implicit technique, in Proceedings of the 4th International Conference on Numerical Methods in Fluid Dynamics. Lecture Notes in Physics (Springer, Berlin, 1975), pp. 105–110 W. Briley, H. McDonald, Solution of the three-dimensional compressible Navier-Stokes equations by an implicit technique, in Proceedings of the 4th International Conference on Numerical Methods in Fluid Dynamics. Lecture Notes in Physics (Springer, Berlin, 1975), pp. 105–110
Zurück zum Zitat T. Broeckhoven, J. Ramboer, S. Smirnov, C. Lacor, Numerical methods, in Large-Eddy Simulation for Acoustics, ed. by C. Wagner, T. Huttl, P. Sagaut (Cambridge University Press, Cambridge, 2007) T. Broeckhoven, J. Ramboer, S. Smirnov, C. Lacor, Numerical methods, in Large-Eddy Simulation for Acoustics, ed. by C. Wagner, T. Huttl, P. Sagaut (Cambridge University Press, Cambridge, 2007)
Zurück zum Zitat J. Burmeister, G. Horton, Time-parallel multigrid solution of the Navier-Stokes equations. Multigrid Methods III 98, 155–166 (1991) MathSciNet J. Burmeister, G. Horton, Time-parallel multigrid solution of the Navier-Stokes equations. Multigrid Methods III 98, 155–166 (1991) MathSciNet
Zurück zum Zitat T.D. Butler, LINC method extensions, in Proceedings of the Second International Conference on Numerical Methods in Fluid Dynamics (Springer, Berlin, 1971), pp. 435–440 T.D. Butler, LINC method extensions, in Proceedings of the Second International Conference on Numerical Methods in Fluid Dynamics (Springer, Berlin, 1971), pp. 435–440
Zurück zum Zitat M.S. Campobasso, M.B. Giles, Effects of flow instabilities on the linear analysis of turbomachinery aeroelasticity. J. Propuls. Power 19(2), 250–259 (2003) M.S. Campobasso, M.B. Giles, Effects of flow instabilities on the linear analysis of turbomachinery aeroelasticity. J. Propuls. Power 19(2), 250–259 (2003)
Zurück zum Zitat M.S. Campobasso, M.B. Giles, Stabilization of linear flow solver for turbomachinery aeroelasticity using recursive projection method. AIAA J. 42(9), 1765–1774 (2004) M.S. Campobasso, M.B. Giles, Stabilization of linear flow solver for turbomachinery aeroelasticity using recursive projection method. AIAA J. 42(9), 1765–1774 (2004)
Zurück zum Zitat M. Chapman, FRAM—nonlinear damping algorithms for the continuity equation. J. Comput. Phys. 44(1), 84–103 (1981) MATH M. Chapman, FRAM—nonlinear damping algorithms for the continuity equation. J. Comput. Phys. 44(1), 84–103 (1981) MATH
Zurück zum Zitat G. Chesshire, W.D. Henshaw, Composite overlapping meshes for the solution of partial differential equations. J. Comput. Phys. 90(1), 1–64 (1990) MathSciNetMATH G. Chesshire, W.D. Henshaw, Composite overlapping meshes for the solution of partial differential equations. J. Comput. Phys. 90(1), 1–64 (1990) MathSciNetMATH
Zurück zum Zitat Y. Choi, C. Merkle, Time-derivative preconditioning for viscous flows, in 22nd AIAA, Fluid Dynamics, Plasma Dynamics and Lasers Conference (1991). AIAA–91–1652 Y. Choi, C. Merkle, Time-derivative preconditioning for viscous flows, in 22nd AIAA, Fluid Dynamics, Plasma Dynamics and Lasers Conference (1991). AIAA–91–1652
Zurück zum Zitat A.J. Chorin, A numerical method for solving incompressible viscous flow problems. J. Comput. Phys. 2(1), 12–26 (1967) MATH A.J. Chorin, A numerical method for solving incompressible viscous flow problems. J. Comput. Phys. 2(1), 12–26 (1967) MATH
Zurück zum Zitat F.K. Chow, P. Moin, A further study of numerical errors in large-eddy simulations. J. Comput. Phys. 184(2), 366–380 (2003) MATH F.K. Chow, P. Moin, A further study of numerical errors in large-eddy simulations. J. Comput. Phys. 184(2), 366–380 (2003) MATH
Zurück zum Zitat Y.M. Chung, P.G. Tucker, Accuracy of higher-order finite difference schemes on nonuniform grids. AIAA J. 41(8), 1609–1611 (2003) Y.M. Chung, P.G. Tucker, Accuracy of higher-order finite difference schemes on nonuniform grids. AIAA J. 41(8), 1609–1611 (2003)
Zurück zum Zitat T. Colonius, S.K. Lele, Computational aeroacoustics: progress on nonlinear problems of sound generation. Prog. Aerosp. Sci. 40(6), 345–416 (2004) T. Colonius, S.K. Lele, Computational aeroacoustics: progress on nonlinear problems of sound generation. Prog. Aerosp. Sci. 40(6), 345–416 (2004)
Zurück zum Zitat W.P. Crowley, Second-order numerical advection. J. Comput. Phys. 1(4), 471–484 (1967) MATH W.P. Crowley, Second-order numerical advection. J. Comput. Phys. 1(4), 471–484 (1967) MATH
Zurück zum Zitat F. Daude, J. Berland, T. Emmert, P. Lafon, F. Crouzet, C. Bailly, A high-order finite-difference algorithm for direct computation of aerodynamic sound. Comput. Fluids 61, 46–63 (2012) MathSciNet F. Daude, J. Berland, T. Emmert, P. Lafon, F. Crouzet, C. Bailly, A high-order finite-difference algorithm for direct computation of aerodynamic sound. Comput. Fluids 61, 46–63 (2012) MathSciNet
Zurück zum Zitat R.W. Davis, E.F. Moore, A numerical study of vortex shedding from rectangles. J. Fluid Mech. 116(3), 475–506 (1982) MATH R.W. Davis, E.F. Moore, A numerical study of vortex shedding from rectangles. J. Fluid Mech. 116(3), 475–506 (1982) MATH
Zurück zum Zitat C.C. de Wiart, K. Hillewaert, P. Geuzaine, DNS of a low pressure turbine blade computed with the discontinuous Galerkin method, in Proceedings of the ASME Turbo Expo, Copenhagen, Denmark, 11–15 June 2012. GT2012–68900 C.C. de Wiart, K. Hillewaert, P. Geuzaine, DNS of a low pressure turbine blade computed with the discontinuous Galerkin method, in Proceedings of the ASME Turbo Expo, Copenhagen, Denmark, 11–15 June 2012. GT2012–68900
Zurück zum Zitat J.W. Deardorff, A numerical study of three-dimensional turbulent channel flow at large Reynolds numbers. J. Fluid Mech. 41(02), 453–480 (1970) MATH J.W. Deardorff, A numerical study of three-dimensional turbulent channel flow at large Reynolds numbers. J. Fluid Mech. 41(02), 453–480 (1970) MATH
Zurück zum Zitat I. Demirdžić, M. Perić, Space conservation law in finite volume calculations of fluid flow. Int. J. Numer. Methods Fluids 8(9), 1037–1050 (1988) MATH I. Demirdžić, M. Perić, Space conservation law in finite volume calculations of fluid flow. Int. J. Numer. Methods Fluids 8(9), 1037–1050 (1988) MATH
Zurück zum Zitat J. Douglas, J.E. Gunn, A general formulation of alternating direction methods. Numer. Math. 6(1), 428–453 (1964) MathSciNetMATH J. Douglas, J.E. Gunn, A general formulation of alternating direction methods. Numer. Math. 6(1), 428–453 (1964) MathSciNetMATH
Zurück zum Zitat D. Drikakis, W. Rider, High-Resolution Methods for Incompressible and Low-Speed Flows (Springer, Berlin, 2004) D. Drikakis, W. Rider, High-Resolution Methods for Incompressible and Low-Speed Flows (Springer, Berlin, 2004)
Zurück zum Zitat F. Ducros, V. Ferrand, F. Nicoud, C. Weber, D. Darracq, C. Gacherieu, T. Poinsot, Large-eddy simulation of the shock/turbulence interaction. J. Comput. Phys. 152(2), 517–549 (1999) MATH F. Ducros, V. Ferrand, F. Nicoud, C. Weber, D. Darracq, C. Gacherieu, T. Poinsot, Large-eddy simulation of the shock/turbulence interaction. J. Comput. Phys. 152(2), 517–549 (1999) MATH
Zurück zum Zitat F. Ducros, F. Laporte, T. Souleres, V. Guinot, P. Moinat, B. Caruelle, High-order fluxes for conservative skew-symmetric-like schemes in structured meshes: application to compressible flows. J. Comput. Phys. 161(1), 114–139 (2000) MathSciNetMATH F. Ducros, F. Laporte, T. Souleres, V. Guinot, P. Moinat, B. Caruelle, High-order fluxes for conservative skew-symmetric-like schemes in structured meshes: application to compressible flows. J. Comput. Phys. 161(1), 114–139 (2000) MathSciNetMATH
Zurück zum Zitat J.K. Dukowicz, J.D. Ramshaw, Tensor viscosity method for convection in numerical fluid dynamics. J. Comput. Phys. 32(1), 71–79 (1979) MATH J.K. Dukowicz, J.D. Ramshaw, Tensor viscosity method for convection in numerical fluid dynamics. J. Comput. Phys. 32(1), 71–79 (1979) MATH
Zurück zum Zitat M.S. Engelman, R.L. Sani, Finite element simulation of incompressible fluid flows with a free/moving surface. Comput. Tech. Fluid. Flow 47, 47–74 (1986) MathSciNet M.S. Engelman, R.L. Sani, Finite element simulation of incompressible fluid flows with a free/moving surface. Comput. Tech. Fluid. Flow 47, 47–74 (1986) MathSciNet
Zurück zum Zitat C.A.J. Fletcher, Fundamental and General Techniques. Computational Techniques for Fluid Dynamics, vol. 1 (Springer, Berlin, 1997) C.A.J. Fletcher, Fundamental and General Techniques. Computational Techniques for Fluid Dynamics, vol. 1 (Springer, Berlin, 1997)
Zurück zum Zitat G. Fritsch, M. Giles, Second-order effects of unsteadiness on the performance of turbomachines, in 37th International Gas Turbine and Aeroengine Congress and Exposition (1992). GT–92–389 G. Fritsch, M. Giles, Second-order effects of unsteadiness on the performance of turbomachines, in 37th International Gas Turbine and Aeroengine Congress and Exposition (1992). GT–92–389
Zurück zum Zitat L. Gamet, F. Ducros, F. Nicoud, T. Poinsot, Compact finite difference schemes on non-uniform meshes. application to direct numerical simulations of compressible flows. Int. J. Numer. Methods Fluids 29(2), 159–191 (1999) MathSciNetMATH L. Gamet, F. Ducros, F. Nicoud, T. Poinsot, Compact finite difference schemes on non-uniform meshes. application to direct numerical simulations of compressible flows. Int. J. Numer. Methods Fluids 29(2), 159–191 (1999) MathSciNetMATH
Zurück zum Zitat B.J. Geurts, D.D. Holm, Regularization modeling for large-eddy simulation. Phys. Fluids 15(1), L13–L16 (2003) MathSciNet B.J. Geurts, D.D. Holm, Regularization modeling for large-eddy simulation. Phys. Fluids 15(1), L13–L16 (2003) MathSciNet
Zurück zum Zitat S. Ghosal, An analysis of numerical errors in large-eddy simulations of turbulence. J. Comput. Phys. 125(1), 187–206 (1996) MathSciNetMATH S. Ghosal, An analysis of numerical errors in large-eddy simulations of turbulence. J. Comput. Phys. 125(1), 187–206 (1996) MathSciNetMATH
Zurück zum Zitat M.B. Giles, Nonreflecting boundary conditions for Euler equation calculations. AIAA J. 28(12), 2050–2058 (1990) M.B. Giles, Nonreflecting boundary conditions for Euler equation calculations. AIAA J. 28(12), 2050–2058 (1990)
Zurück zum Zitat M. Giles, The HYDRA user’s guide. Version 0.06 (2004) M. Giles, The HYDRA user’s guide. Version 0.06 (2004)
Zurück zum Zitat W. Glanfield, Personal communication (2000) W. Glanfield, Personal communication (2000)
Zurück zum Zitat J. Glass, W. Rodi, A higher order numerical scheme for scalar transport. Comput. Methods Appl. Mech. Eng. 31(3), 337–358 (1982) MATH J. Glass, W. Rodi, A higher order numerical scheme for scalar transport. Comput. Methods Appl. Mech. Eng. 31(3), 337–358 (1982) MATH
Zurück zum Zitat P.M. Gresho, R.L. Lee, R.L. Sani, On the time-dependent solution of the incompressible Navier-Stokes equations in two and three dimensions. Recent Adv. Numer. Methods Fluids 1, 27–79 (1980) P.M. Gresho, R.L. Lee, R.L. Sani, On the time-dependent solution of the incompressible Navier-Stokes equations in two and three dimensions. Recent Adv. Numer. Methods Fluids 1, 27–79 (1980)
Zurück zum Zitat P.M. Gresho, S.T. Chan, R.L. Lee, C.D. Upson, A modified finite element method for solving the time-dependent, incompressible Navier-Stokes equations. Part 1: theory. Int. J. Numer. Methods Fluids 4(6), 557–598 (1984) MATH P.M. Gresho, S.T. Chan, R.L. Lee, C.D. Upson, A modified finite element method for solving the time-dependent, incompressible Navier-Stokes equations. Part 1: theory. Int. J. Numer. Methods Fluids 4(6), 557–598 (1984) MATH
Zurück zum Zitat A. Hadjadj, Large eddy simulation of shock/boundary layer interaction. AIAA J. 50(12), 2919–2927 (2012) A. Hadjadj, Large eddy simulation of shock/boundary layer interaction. AIAA J. 50(12), 2919–2927 (2012)
Zurück zum Zitat T. Haga, H. Gao, Z.J. Wang, A high-order unifying discontinuous formulation for the Navier-Stokes equations on 3d mixed grids. Math. Model. Nat. Phenom. 6(3), 28–56 (2011) MathSciNetMATH T. Haga, H. Gao, Z.J. Wang, A high-order unifying discontinuous formulation for the Navier-Stokes equations on 3d mixed grids. Math. Model. Nat. Phenom. 6(3), 28–56 (2011) MathSciNetMATH
Zurück zum Zitat F.H. Harlow, J.E. Welch, Numerical calculation of time-dependent viscous incompressible flow of fluid with free surface. Phys. Fluids 8, 2182–2189 (1965) MATH F.H. Harlow, J.E. Welch, Numerical calculation of time-dependent viscous incompressible flow of fluid with free surface. Phys. Fluids 8, 2182–2189 (1965) MATH
Zurück zum Zitat A. Harten, High resolution schemes for hyperbolic conservation laws. J. Comput. Phys. 49(3), 357–393 (1983) MathSciNetMATH A. Harten, High resolution schemes for hyperbolic conservation laws. J. Comput. Phys. 49(3), 357–393 (1983) MathSciNetMATH
Zurück zum Zitat A. Harten, B. Engquist, S. Osher, S.R. Chakravarthy, Uniformly high order accurate essentially non-oscillatory schemes, III. J. Comput. Phys. 71(2), 231–303 (1987) MathSciNetMATH A. Harten, B. Engquist, S. Osher, S.R. Chakravarthy, Uniformly high order accurate essentially non-oscillatory schemes, III. J. Comput. Phys. 71(2), 231–303 (1987) MathSciNetMATH
Zurück zum Zitat L. He, D.X. Wang, Concurrent blade aerodynamic-aero-elastic design optimization using adjoint method. J. Turbomach. 133, 011021 (2011) L. He, D.X. Wang, Concurrent blade aerodynamic-aero-elastic design optimization using adjoint method. J. Turbomach. 133, 011021 (2011)
Zurück zum Zitat L.S. Hedges, A.K. Travin, P.R. Spalart, Detached-eddy simulations over a simplified landing gear. J. Fluids Eng. 124(2), 413–423 (2002) L.S. Hedges, A.K. Travin, P.R. Spalart, Detached-eddy simulations over a simplified landing gear. J. Fluids Eng. 124(2), 413–423 (2002)
Zurück zum Zitat R.A.W.M. Henkes, Natural-convection boundary layers. PhD thesis, Technical University Delft (1990) R.A.W.M. Henkes, Natural-convection boundary layers. PhD thesis, Technical University Delft (1990)
Zurück zum Zitat B.P. Hignett, A.A. White, R.D. Carter, W.D.N. Jackson, R.M. Small, A comparison of laboratory measurements and numerical simulations of baroclinic wave flows in a rotating cylindrical annulus. Q. J. R. Meteorol. Soc. 111(467), 131–154 (1985) B.P. Hignett, A.A. White, R.D. Carter, W.D.N. Jackson, R.M. Small, A comparison of laboratory measurements and numerical simulations of baroclinic wave flows in a rotating cylindrical annulus. Q. J. R. Meteorol. Soc. 111(467), 131–154 (1985)
Zurück zum Zitat C.W. Hirt, A.A. Amsden, J.L. Cook, An arbitrary Lagrangian-Eulerian computing method for all flow speeds. J. Comput. Phys. 14(3), 227–253 (1974) MATH C.W. Hirt, A.A. Amsden, J.L. Cook, An arbitrary Lagrangian-Eulerian computing method for all flow speeds. J. Comput. Phys. 14(3), 227–253 (1974) MATH
Zurück zum Zitat R. Hixon, Prefactored small-stencil compact schemes. J. Comput. Phys. 165(2), 522–541 (2000) MathSciNetMATH R. Hixon, Prefactored small-stencil compact schemes. J. Comput. Phys. 165(2), 522–541 (2000) MathSciNetMATH
Zurück zum Zitat K. Horiuti, T. Itami, Truncation error analysis of the rotational form for the convective terms in the Navier–Stokes equation. J. Comput. Phys. 145(2), 671–692 (1998) MATH K. Horiuti, T. Itami, Truncation error analysis of the rotational form for the convective terms in the Navier–Stokes equation. J. Comput. Phys. 145(2), 671–692 (1998) MATH
Zurück zum Zitat F.Q. Hu, A stable, perfectly matched layer for linearized Euler equations in unsplit physical variables. J. Comput. Phys. 173(2), 455–480 (2001) MathSciNetMATH F.Q. Hu, A stable, perfectly matched layer for linearized Euler equations in unsplit physical variables. J. Comput. Phys. 173(2), 455–480 (2001) MathSciNetMATH
Zurück zum Zitat F.Q. Hu, M.Y. Hussaini, J.L. Manthey, Low-dissipation and low-dispersion Runge–Kutta schemes for computational acoustics. J. Comput. Phys. 124(1), 177–191 (1996) MathSciNetMATH F.Q. Hu, M.Y. Hussaini, J.L. Manthey, Low-dissipation and low-dispersion Runge–Kutta schemes for computational acoustics. J. Comput. Phys. 124(1), 177–191 (1996) MathSciNetMATH
Zurück zum Zitat A. Hujeirat, R. Rannacher, A method for computing compressible, highly stratified flows in astrophysics based on operator splitting. Int. J. Numer. Methods Fluids 28(1), 1–22 (1998) MathSciNetMATH A. Hujeirat, R. Rannacher, A method for computing compressible, highly stratified flows in astrophysics based on operator splitting. Int. J. Numer. Methods Fluids 28(1), 1–22 (1998) MathSciNetMATH
Zurück zum Zitat H.G. Im, Numerical studies of transient opposed-flow flames using adaptive time integration. KSME Int. J. 14(1), 103–112 (2000) H.G. Im, Numerical studies of transient opposed-flow flames using adaptive time integration. KSME Int. J. 14(1), 103–112 (2000)
Zurück zum Zitat R.I. Issa, Solution of the implicitly discretised fluid flow equations by operator-splitting. J. Comput. Phys. 62(1), 40–65 (1986) MathSciNetMATH R.I. Issa, Solution of the implicitly discretised fluid flow equations by operator-splitting. J. Comput. Phys. 62(1), 40–65 (1986) MathSciNetMATH
Zurück zum Zitat A. Jameson, Time dependent calculations using multigrid, with applications to unsteady flows past airfoils and wings. AIAA Pap. 1596, 1991 (1991) A. Jameson, Time dependent calculations using multigrid, with applications to unsteady flows past airfoils and wings. AIAA Pap. 1596, 1991 (1991)
Zurück zum Zitat A. Jameson, The construction of discretely conservative finite volume schemes that also globally conserve energy or entropy. J. Sci. Comput. 34(2), 152–187 (2008a) MathSciNetMATH A. Jameson, The construction of discretely conservative finite volume schemes that also globally conserve energy or entropy. J. Sci. Comput. 34(2), 152–187 (2008a) MathSciNetMATH
Zurück zum Zitat A. Jameson, Formulation of kinetic energy preserving conservative schemes for gas dynamics and direct numerical simulation of one-dimensional viscous compressible flow in a shock tube using entropy and kinetic energy preserving schemes. J. Sci. Comput. 34(2), 188–208 (2008b) MathSciNetMATH A. Jameson, Formulation of kinetic energy preserving conservative schemes for gas dynamics and direct numerical simulation of one-dimensional viscous compressible flow in a shock tube using entropy and kinetic energy preserving schemes. J. Sci. Comput. 34(2), 188–208 (2008b) MathSciNetMATH
Zurück zum Zitat A. Jameson, W. Schmidt, E. Turkel, Numerical solutions of the Euler equations by finite volume methods using Runge-Kutta time-stepping schemes. AIAA Pap. 81(125), 9 (1981) A. Jameson, W. Schmidt, E. Turkel, Numerical solutions of the Euler equations by finite volume methods using Runge-Kutta time-stepping schemes. AIAA Pap. 81(125), 9 (1981)
Zurück zum Zitat R.J. Jefferson-Loveday, Numerical simulations of unsteady impinging jet flows. PhD thesis, Swansea University (2008) R.J. Jefferson-Loveday, Numerical simulations of unsteady impinging jet flows. PhD thesis, Swansea University (2008)
Zurück zum Zitat W.P. Jones, A.J. Marquis, Calculation of axisymmetric re-circulating flows with a second order turbulence model, in Proc. of the 5th Symp. on Turbulent Shear Flows, Cornel University (1985), pp. 20.1–20.11 W.P. Jones, A.J. Marquis, Calculation of axisymmetric re-circulating flows with a second order turbulence model, in Proc. of the 5th Symp. on Turbulent Shear Flows, Cornel University (1985), pp. 20.1–20.11
Zurück zum Zitat J. Joo, P. Durbin, Simulation of turbine blade trailing edge cooling. J. Fluids Eng. 131, 021102 (2009) J. Joo, P. Durbin, Simulation of turbine blade trailing edge cooling. J. Fluids Eng. 131, 021102 (2009)
Zurück zum Zitat S.A. Karabasov, V.M. Goloviznin, New efficient high-resolution method for nonlinear problems in aeroacoustics. AIAA J. 45(12), 2861–2871 (2007) S.A. Karabasov, V.M. Goloviznin, New efficient high-resolution method for nonlinear problems in aeroacoustics. AIAA J. 45(12), 2861–2871 (2007)
Zurück zum Zitat S.A. Karabasov, V.M. Goloviznin, Compact accurately boundary-adjusting high-resolution technique for fluid dynamics. J. Comput. Phys. 228(19), 7426–7451 (2009) MathSciNetMATH S.A. Karabasov, V.M. Goloviznin, Compact accurately boundary-adjusting high-resolution technique for fluid dynamics. J. Comput. Phys. 228(19), 7426–7451 (2009) MathSciNetMATH
Zurück zum Zitat Z. Khatir, Discrete vortex modelling of near-wall flow structure in turbulent boundary layers. PhD thesis, Fluid Dynamics Research Centre, The University of Warwick (2000) Z. Khatir, Discrete vortex modelling of near-wall flow structure in turbulent boundary layers. PhD thesis, Fluid Dynamics Research Centre, The University of Warwick (2000)
Zurück zum Zitat J.W. Kim, D.J. Lee, Optimized compact finite difference schemes with maximum resolution. AIAA J. 34(5), 887–893 (1996) MATH J.W. Kim, D.J. Lee, Optimized compact finite difference schemes with maximum resolution. AIAA J. 34(5), 887–893 (1996) MATH
Zurück zum Zitat J. Kim, P. Moin, Application of a fractional-step method to incompressible Navier-Stokes equations. J. Comput. Phys. 59(2), 308–323 (1985) MathSciNetMATH J. Kim, P. Moin, Application of a fractional-step method to incompressible Navier-Stokes equations. J. Comput. Phys. 59(2), 308–323 (1985) MathSciNetMATH
Zurück zum Zitat M.H. Kobayashi, J.C.F. Pereira, Culation of incompressible laminar flows on a nonstaggered, nonorthogonal grid. Numer. Heat Transf., Part B, Fundam. 19(2), 243–262 (1991) M.H. Kobayashi, J.C.F. Pereira, Culation of incompressible laminar flows on a nonstaggered, nonorthogonal grid. Numer. Heat Transf., Part B, Fundam. 19(2), 243–262 (1991)
Zurück zum Zitat J.A. Krakos, D.L. Darmofal, Effect of small-scale output unsteadiness on adjoint-based sensitivity. AIAA J. 48(11), 2611–2623 (2010) J.A. Krakos, D.L. Darmofal, Effect of small-scale output unsteadiness on adjoint-based sensitivity. AIAA J. 48(11), 2611–2623 (2010)
Zurück zum Zitat C. Lacor, Industrial Computational Fluid Dynamics. Lecture Series 1999-06 (von Karman Institute for Fluid Dynamics, Sint-Genesius-Rode, 1999) C. Lacor, Industrial Computational Fluid Dynamics. Lecture Series 1999-06 (von Karman Institute for Fluid Dynamics, Sint-Genesius-Rode, 1999)
Zurück zum Zitat S. Laizet, E. Lamballais, High-order compact schemes for incompressible flows: a simple and efficient method with quasi-spectral accuracy. J. Comput. Phys. 228(16), 5989–6015 (2009) MathSciNetMATH S. Laizet, E. Lamballais, High-order compact schemes for incompressible flows: a simple and efficient method with quasi-spectral accuracy. J. Comput. Phys. 228(16), 5989–6015 (2009) MathSciNetMATH
Zurück zum Zitat K.R. Lee, J.H. Park, K.H. Kim, High-order interpolation method for overset grid based on finite volume method. AIAA J. 49(7), 1387–1398 (2011) K.R. Lee, J.H. Park, K.H. Kim, High-order interpolation method for overset grid based on finite volume method. AIAA J. 49(7), 1387–1398 (2011)
Zurück zum Zitat C.E. Leith, Numerical simulation of the earth’s atmosphere. University of California, Lawrence Radiation Laboratory (1964) C.E. Leith, Numerical simulation of the earth’s atmosphere. University of California, Lawrence Radiation Laboratory (1964)
Zurück zum Zitat S.K. Lele, Compact finite difference schemes with spectral-like resolution. J. Comput. Phys. 103(1), 16–42 (1992) MathSciNetMATH S.K. Lele, Compact finite difference schemes with spectral-like resolution. J. Comput. Phys. 103(1), 16–42 (1992) MathSciNetMATH
Zurück zum Zitat B.P. Leonard, A stable and accurate convective modelling procedure based on quadratic upstream interpolation. Comput. Methods Appl. Mech. Eng. 19(1), 59–98 (1979) MATH B.P. Leonard, A stable and accurate convective modelling procedure based on quadratic upstream interpolation. Comput. Methods Appl. Mech. Eng. 19(1), 59–98 (1979) MATH
Zurück zum Zitat M.S. Liou, C.J. Steffen, A new flux splitting scheme. J. Comput. Phys. 107(1), 23–39 (1993) MathSciNetMATH M.S. Liou, C.J. Steffen, A new flux splitting scheme. J. Comput. Phys. 107(1), 23–39 (1993) MathSciNetMATH
Zurück zum Zitat X.D. Liu, S. Osher, T. Chan, Weighted essentially non-oscillatory schemes. J. Comput. Phys. 115(1), 200–212 (1994) MathSciNetMATH X.D. Liu, S. Osher, T. Chan, Weighted essentially non-oscillatory schemes. J. Comput. Phys. 115(1), 200–212 (1994) MathSciNetMATH
Zurück zum Zitat Y. Liu, M. Vinokur, Z.J. Wang, Spectral (finite) volume method for conservation laws on unstructured grids v: extension to three-dimensional systems. J. Comput. Phys. 212(2), 454–472 (2006) MathSciNetMATH Y. Liu, M. Vinokur, Z.J. Wang, Spectral (finite) volume method for conservation laws on unstructured grids v: extension to three-dimensional systems. J. Comput. Phys. 212(2), 454–472 (2006) MathSciNetMATH
Zurück zum Zitat D.P. Lockard, K.S. Brentner, H.L. Atkins, High-accuracy algorithms for computational aeroacoustics. AIAA J. 33, 246–251 (1995) MATH D.P. Lockard, K.S. Brentner, H.L. Atkins, High-accuracy algorithms for computational aeroacoustics. AIAA J. 33, 246–251 (1995) MATH
Zurück zum Zitat S. Loiodice, P.G. Tucker, J. Watson, Coupled open rotor engine intake simulations, in Proceedings of the 48th AIAA Aerospace Sciences Meeting and Exhibit, Orlando, Florida, 4–7 January 2010. AIAA 2010–840 S. Loiodice, P.G. Tucker, J. Watson, Coupled open rotor engine intake simulations, in Proceedings of the 48th AIAA Aerospace Sciences Meeting and Exhibit, Orlando, Florida, 4–7 January 2010. AIAA 2010–840
Zurück zum Zitat Y. Lu, W.N. Dawes, X. Yuan, Investigation of 3D internal flow using new flux-reconstruction higher order method, in Proceedings of the ASME Turbo Expo, Copenhagen, Denmark, 11–15 June 2012. GT2012–69270 Y. Lu, W.N. Dawes, X. Yuan, Investigation of 3D internal flow using new flux-reconstruction higher order method, in Proceedings of the ASME Turbo Expo, Copenhagen, Denmark, 11–15 June 2012. GT2012–69270
Zurück zum Zitat K. Mani, D.J. Mavriplis, Discrete adjoint based time-step adaptation and error reduction in unsteady flow problems, in 18th AIAA Computational Fluid Dynamics Conference, Miami, FL, 25–28 June 2007. AIAA 2007–3944 K. Mani, D.J. Mavriplis, Discrete adjoint based time-step adaptation and error reduction in unsteady flow problems, in 18th AIAA Computational Fluid Dynamics Conference, Miami, FL, 25–28 June 2007. AIAA 2007–3944
Zurück zum Zitat K. Mani, D.J. Mavriplis, Spatially non-uniform time-step adaptation for functional outputs in unsteady flow problems, in 48th AIAA Aerospace Sciences Meeting Including the New Horizons Forum and Aerospace Exposition, Orlando, Florida, 4–7 January 2010. AIAA 2010–121 K. Mani, D.J. Mavriplis, Spatially non-uniform time-step adaptation for functional outputs in unsteady flow problems, in 48th AIAA Aerospace Sciences Meeting Including the New Horizons Forum and Aerospace Exposition, Orlando, Florida, 4–7 January 2010. AIAA 2010–121
Zurück zum Zitat E. Manoha, B. Troff, P. Sagaut, Trailing-edge noise prediction using large-eddy simulation and acoustic analogy. AIAA J. 38(4), 575–583 (2000) E. Manoha, B. Troff, P. Sagaut, Trailing-edge noise prediction using large-eddy simulation and acoustic analogy. AIAA J. 38(4), 575–583 (2000)
Zurück zum Zitat J.C. Marongiu, F. Leboeuf, E. Parkinson, Numerical simulation of the flow in a Pelton turbine using the meshless method smoothed particle hydrodynamics: a new simple solid boundary treatment. Proc. Inst. Mech. Eng. A, J. Power Energy 221(6), 849–856 (2007) J.C. Marongiu, F. Leboeuf, E. Parkinson, Numerical simulation of the flow in a Pelton turbine using the meshless method smoothed particle hydrodynamics: a new simple solid boundary treatment. Proc. Inst. Mech. Eng. A, J. Power Energy 221(6), 849–856 (2007)
Zurück zum Zitat J.C. Marongiu, F. Leboeuf, J.Ë. Caro, E. Parkinson, Free surface flows simulations in Pelton turbines using an hybrid SPH-ALE method. J. Hydraul. Res. 48(S1), 40–49 (2010) J.C. Marongiu, F. Leboeuf, J.Ë. Caro, E. Parkinson, Free surface flows simulations in Pelton turbines using an hybrid SPH-ALE method. J. Hydraul. Res. 48(S1), 40–49 (2010)
Zurück zum Zitat I. Mary, P. Sagaut, Large eddy simulation of flow around an airfoil near stall. AIAA J. 40(6), 1139–1145 (2002) I. Mary, P. Sagaut, Large eddy simulation of flow around an airfoil near stall. AIAA J. 40(6), 1139–1145 (2002)
Zurück zum Zitat P.J. Morris, L.N. Long, A. Bangalore, Q. Wang, A parallel three-dimensional computational aeroacoustics method using nonlinear disturbance equations. J. Comput. Phys. 133(1), 56–74 (1997) MATH P.J. Morris, L.N. Long, A. Bangalore, Q. Wang, A parallel three-dimensional computational aeroacoustics method using nonlinear disturbance equations. J. Comput. Phys. 133(1), 56–74 (1997) MATH
Zurück zum Zitat C. Moulinec, S. Benhamadouche, D. Laurence, M. Peric, LES in a U-bend pipe meshed by polyhedral cells. Eng. Turbul. Model. Exp. 6, 237–246 (2005) C. Moulinec, S. Benhamadouche, D. Laurence, M. Peric, LES in a U-bend pipe meshed by polyhedral cells. Eng. Turbul. Model. Exp. 6, 237–246 (2005)
Zurück zum Zitat B. Muhlbauer, B. Noll, M. Aigner, Numerical investigation of entropy noise and its acoustic sources in aero-engine, in Proceedings of the ASME Turbo Expo, Berlin, Germany, 9–13 June 2008. GT2008–50321 B. Muhlbauer, B. Noll, M. Aigner, Numerical investigation of entropy noise and its acoustic sources in aero-engine, in Proceedings of the ASME Turbo Expo, Berlin, Germany, 9–13 June 2008. GT2008–50321
Zurück zum Zitat T. Muramatsu, H. Ninokata, Thermal striping temperature fluctuation analysis using the algebraic stress turbulence model in water and sodium. JSME Int. J., Ser. 2, Fluids Eng. Heat Transf. Power Combust. Thermophys. Prop. 35(4), 486–496 (1992) T. Muramatsu, H. Ninokata, Thermal striping temperature fluctuation analysis using the algebraic stress turbulence model in water and sodium. JSME Int. J., Ser. 2, Fluids Eng. Heat Transf. Power Combust. Thermophys. Prop. 35(4), 486–496 (1992)
Zurück zum Zitat K. Nakahashi, F. Togashi, Unstructured overset grid method for flow simulation of complex multiple body problems, in ICAS 2000 Congress, (2000). ICAS 0263 K. Nakahashi, F. Togashi, Unstructured overset grid method for flow simulation of complex multiple body problems, in ICAS 2000 Congress, (2000). ICAS 0263
Zurück zum Zitat A.G.F.A. Nasser, M.A. Leschziner, Computation of transient recirculating flow using spline approximations and time-space characteristics, in Proc. 4th Int. Conf. on Numerical Methods in Laminar and Turbulent Flow, Swansea (1985), pp. 480–491 A.G.F.A. Nasser, M.A. Leschziner, Computation of transient recirculating flow using spline approximations and time-space characteristics, in Proc. 4th Int. Conf. on Numerical Methods in Laminar and Turbulent Flow, Swansea (1985), pp. 480–491
Zurück zum Zitat P.D. Orkwis, M.G. Turner, J.W. Barter, Linear deterministic source terms for hot streak simulations. J. Propuls. Power 18(2), 383–389 (2002) P.D. Orkwis, M.G. Turner, J.W. Barter, Linear deterministic source terms for hot streak simulations. J. Propuls. Power 18(2), 383–389 (2002)
Zurück zum Zitat S.A. Orszag, Accurate solution of the Orr-Sommerfeld stability equation. J. Fluid Mech. 50(4), 689–703 (1971) MATH S.A. Orszag, Accurate solution of the Orr-Sommerfeld stability equation. J. Fluid Mech. 50(4), 689–703 (1971) MATH
Zurück zum Zitat Y. Ozyoruk, L.N. Long, Multigrid acceleration of a high-resolution computational aeroacoustics scheme. AIAA J. 35(3), 428–433 (1997) Y. Ozyoruk, L.N. Long, Multigrid acceleration of a high-resolution computational aeroacoustics scheme. AIAA J. 35(3), 428–433 (1997)
Zurück zum Zitat U. Paliath, H. Shen, R. Avancha, C. Shieh, Large eddy simulation for jets from chevron and dual nozzles, in Proceedings of 17th AIAA/CEAS Aeroacoustics Conference, Portland, Oregon, 5–8 June 2011. AIAA 2011–2881 U. Paliath, H. Shen, R. Avancha, C. Shieh, Large eddy simulation for jets from chevron and dual nozzles, in Proceedings of 17th AIAA/CEAS Aeroacoustics Conference, Portland, Oregon, 5–8 June 2011. AIAA 2011–2881
Zurück zum Zitat A.T. Patera, A spectral element method for fluid dynamics: laminar flow in a channel expansion. J. Comput. Phys. 54(3), 468–488 (1984) MathSciNetMATH A.T. Patera, A spectral element method for fluid dynamics: laminar flow in a channel expansion. J. Comput. Phys. 54(3), 468–488 (1984) MathSciNetMATH
Zurück zum Zitat L.L. Pauley, P. Moin, W.C. Reynolds, The structure of two-dimensional separation. J. Fluid Mech. 220(1), 397–411 (1990) L.L. Pauley, P. Moin, W.C. Reynolds, The structure of two-dimensional separation. J. Fluid Mech. 220(1), 397–411 (1990)
Zurück zum Zitat D.W. Peaceman, H.H. Rachford, The numerical solution of parabolic and elliptic differential equations. J. Soc. Ind. Appl. Math. 3(1), 28–41 (1955) MathSciNetMATH D.W. Peaceman, H.H. Rachford, The numerical solution of parabolic and elliptic differential equations. J. Soc. Ind. Appl. Math. 3(1), 28–41 (1955) MathSciNetMATH
Zurück zum Zitat A. Pinelli, I.Z. Naqavi, U. Piomelli, J. Favier, Immersed-boundary methods for general finite-difference and finite-volume Navier–Stokes solvers. J. Comput. Phys. 229(24), 9073–9091 (2010) MathSciNetMATH A. Pinelli, I.Z. Naqavi, U. Piomelli, J. Favier, Immersed-boundary methods for general finite-difference and finite-volume Navier–Stokes solvers. J. Comput. Phys. 229(24), 9073–9091 (2010) MathSciNetMATH
Zurück zum Zitat H. Pitsch, Large-eddy simulation of turbulent combustion. Annu. Rev. Fluid Mech. 38, 453–482 (2006) MathSciNet H. Pitsch, Large-eddy simulation of turbulent combustion. Annu. Rev. Fluid Mech. 38, 453–482 (2006) MathSciNet
Zurück zum Zitat W.H. Press, B.P. Flannery, S.A. Teukolsky, W.T. Vetterling, Numerical Recipes: The Art of Scientific Computing (FORTRAN) (Cambridge University Press, Cambridge, 1989) MATH W.H. Press, B.P. Flannery, S.A. Teukolsky, W.T. Vetterling, Numerical Recipes: The Art of Scientific Computing (FORTRAN) (Cambridge University Press, Cambridge, 1989) MATH
Zurück zum Zitat D. Rayner, A numerical study into the heat transfer beneath the stator blade of an axial compressor. PhD thesis, School of Engineering, University of Sussex (1993) D. Rayner, A numerical study into the heat transfer beneath the stator blade of an axial compressor. PhD thesis, School of Engineering, University of Sussex (1993)
Zurück zum Zitat D.T. Reindl, W.A. Beckman, J.W. Mitchell, C.J. Rutland, Benchmarking transient natural convection in an enclosure, in National Heat Transfer Conference, vol. 91 (1991), pp. 1–7 D.T. Reindl, W.A. Beckman, J.W. Mitchell, C.J. Rutland, Benchmarking transient natural convection in an enclosure, in National Heat Transfer Conference, vol. 91 (1991), pp. 1–7
Zurück zum Zitat C.M. Rhie, W.L. Chow, Numerical study of the turbulent flow past an airfoil with trailing edge separation. AIAA J. 21(11), 1525–1532 (1983) MATH C.M. Rhie, W.L. Chow, Numerical study of the turbulent flow past an airfoil with trailing edge separation. AIAA J. 21(11), 1525–1532 (1983) MATH
Zurück zum Zitat D.P. Rizzetta, M.R. Visbal, P.E. Morgan, A high-order compact finite-difference scheme for large-eddy simulation of active flow control. Prog. Aerosp. Sci. 44(6), 397–426 (2008) D.P. Rizzetta, M.R. Visbal, P.E. Morgan, A high-order compact finite-difference scheme for large-eddy simulation of active flow control. Prog. Aerosp. Sci. 44(6), 397–426 (2008)
Zurück zum Zitat P.J. Roache, A flux-based modified method of characteristics. Int. J. Numer. Methods Fluids 15(11), 1259–1275 (1992) MathSciNetMATH P.J. Roache, A flux-based modified method of characteristics. Int. J. Numer. Methods Fluids 15(11), 1259–1275 (1992) MathSciNetMATH
Zurück zum Zitat P.L. Roe, Approximate Riemann solvers, parameter vectors, and difference schemes. J. Comput. Phys. 43(2), 357–372 (1981) MathSciNetMATH P.L. Roe, Approximate Riemann solvers, parameter vectors, and difference schemes. J. Comput. Phys. 43(2), 357–372 (1981) MathSciNetMATH
Zurück zum Zitat P.L. Roe, Characteristic-based schemes for the Euler equations. Annu. Rev. Fluid Mech. 18(1), 337–365 (1986) MathSciNet P.L. Roe, Characteristic-based schemes for the Euler equations. Annu. Rev. Fluid Mech. 18(1), 337–365 (1986) MathSciNet
Zurück zum Zitat S.E. Rogers, D. Kwak, Upwind differencing scheme for the time-accurate incompressible Navier-Stokes equations. AIAA J. 28, 253–262 (1990) MATH S.E. Rogers, D. Kwak, Upwind differencing scheme for the time-accurate incompressible Navier-Stokes equations. AIAA J. 28, 253–262 (1990) MATH
Zurück zum Zitat S.E. Rogers, D. Kwak, J.L.C. Chang, Numerical solution of the incompressible Navier-Stokes equations in three-dimensional generalized curvilinear coordinates. NASA STI/Recon Tech. Rep. N 87, 11964 (1986) S.E. Rogers, D. Kwak, J.L.C. Chang, Numerical solution of the incompressible Navier-Stokes equations in three-dimensional generalized curvilinear coordinates. NASA STI/Recon Tech. Rep. N 87, 11964 (1986)
Zurück zum Zitat M.P. Rumpfkeil, D.W. Zingg, A general framework for the optimal control of unsteady flows with applications, in Proceedings of the 45th AIAA Aerospace Meeting and Exhibit. Reno, Nevada, 8–11 January 2007. AIAA 2010–1128 M.P. Rumpfkeil, D.W. Zingg, A general framework for the optimal control of unsteady flows with applications, in Proceedings of the 45th AIAA Aerospace Meeting and Exhibit. Reno, Nevada, 8–11 January 2007. AIAA 2010–1128
Zurück zum Zitat N.D. Sandham, Q. Li, H.C. Yee, Entropy splitting for high-order numerical simulation of compressible turbulence. J. Comput. Phys. 178(2), 307–322 (2002) MATH N.D. Sandham, Q. Li, H.C. Yee, Entropy splitting for high-order numerical simulation of compressible turbulence. J. Comput. Phys. 178(2), 307–322 (2002) MATH
Zurück zum Zitat L.J. Segerlind, Applied Finite Element Analysis (Wiley, New York, 1976) MATH L.J. Segerlind, Applied Finite Element Analysis (Wiley, New York, 1976) MATH
Zurück zum Zitat V. Seidl, M. Peric, M. Schmidt, Space-and time-parallel Navier-Stokes solver for 3d block-adaptive Cartesian grids, in Proceedings of the Parallel Computational Fluid Dynamics, vol. 95 (1995), pp. 557–584 V. Seidl, M. Peric, M. Schmidt, Space-and time-parallel Navier-Stokes solver for 3d block-adaptive Cartesian grids, in Proceedings of the Parallel Computational Fluid Dynamics, vol. 95 (1995), pp. 557–584
Zurück zum Zitat M.L. Shur, P.R. Spalart, M.K. Strelets, A.K. Travin, Towards the prediction of noise from jet engines. Int. J. Heat Fluid Flow 24(4), 551–561 (2003) M.L. Shur, P.R. Spalart, M.K. Strelets, A.K. Travin, Towards the prediction of noise from jet engines. Int. J. Heat Fluid Flow 24(4), 551–561 (2003)
Zurück zum Zitat S. Skelboe, The control of order and steplength for backward differentiation methods. BIT Numer. Math. 17(1), 91–107 (1977) MathSciNetMATH S. Skelboe, The control of order and steplength for backward differentiation methods. BIT Numer. Math. 17(1), 91–107 (1977) MathSciNetMATH
Zurück zum Zitat P. Spalart, L. Hedges, M. Shur, A. Travin, Simulation of active flow control on a stalled airfoil. Flow Turbul. Combust. 71(1), 361–373 (2003) MATH P. Spalart, L. Hedges, M. Shur, A. Travin, Simulation of active flow control on a stalled airfoil. Flow Turbul. Combust. 71(1), 361–373 (2003) MATH
Zurück zum Zitat E.T. Spyropoulos, G.A. Blaisdell, Large-eddy simulation of a spatially evolving supersonic turbulent boundary-layer flow. AIAA J. 36(11), 1983–1990 (1998) E.T. Spyropoulos, G.A. Blaisdell, Large-eddy simulation of a spatially evolving supersonic turbulent boundary-layer flow. AIAA J. 36(11), 1983–1990 (1998)
Zurück zum Zitat D. Stanescu, M.Y. Hussaini, F. Farassat, Aircraft engine noise scattering—a discontinuous spectral element approach. AIAA Pap. 800, 2002 (2002) D. Stanescu, M.Y. Hussaini, F. Farassat, Aircraft engine noise scattering—a discontinuous spectral element approach. AIAA Pap. 800, 2002 (2002)
Zurück zum Zitat A. Staniforth, J. Côté, Semi-Lagrangian integration schemes for atmospheric models—a review. Mon. Weather Rev. 119(9), 2206–2223 (1991) A. Staniforth, J. Côté, Semi-Lagrangian integration schemes for atmospheric models—a review. Mon. Weather Rev. 119(9), 2206–2223 (1991)
Zurück zum Zitat J.L. Steger, P. Kutler, Implicit finite-difference procedures for the computation of vortex wakes. AIAA J. 15(4), 581–590 (1977) MathSciNetMATH J.L. Steger, P. Kutler, Implicit finite-difference procedures for the computation of vortex wakes. AIAA J. 15(4), 581–590 (1977) MathSciNetMATH
Zurück zum Zitat J.L. Steger, R.F. Warming, Flux vector splitting of the inviscid gasdynamic equations with application to finite-difference methods. J. Comput. Phys. 40(2), 263–293 (1981) MathSciNetMATH J.L. Steger, R.F. Warming, Flux vector splitting of the inviscid gasdynamic equations with application to finite-difference methods. J. Comput. Phys. 40(2), 263–293 (1981) MathSciNetMATH
Zurück zum Zitat J. Steinhoff, D. Underhill, Modification of the Euler equations for “vorticity confinement”: application to the computation of interacting vortex rings. Phys. Fluids 6, 2738–2744 (1994) MATH J. Steinhoff, D. Underhill, Modification of the Euler equations for “vorticity confinement”: application to the computation of interacting vortex rings. Phys. Fluids 6, 2738–2744 (1994) MATH
Zurück zum Zitat M. Strelets, Detached eddy simulation of massively separated flows, in Proceedings of 39th AIAA Aerospace Sciences Meeting and Exhibit, Reno, NV, 8–11 January 2001. AIAA 2001–0879 M. Strelets, Detached eddy simulation of massively separated flows, in Proceedings of 39th AIAA Aerospace Sciences Meeting and Exhibit, Reno, NV, 8–11 January 2001. AIAA 2001–0879
Zurück zum Zitat R.C. Swanson, E. Turkel, On central-difference and upwind schemes. J. Comput. Phys. 101(2), 292–306 (1992) MathSciNetMATH R.C. Swanson, E. Turkel, On central-difference and upwind schemes. J. Comput. Phys. 101(2), 292–306 (1992) MathSciNetMATH
Zurück zum Zitat T. Talha, A numerical investigation of three-dimensional unsteady turbulent channel flow subjected to temporal acceleration. PhD thesis, School of Engineering, University of Warwick (2012) T. Talha, A numerical investigation of three-dimensional unsteady turbulent channel flow subjected to temporal acceleration. PhD thesis, School of Engineering, University of Warwick (2012)
Zurück zum Zitat C.K.W. Tam, Advances in numerical boundary conditions for computational aeroacoustics. J. Comput. Acoust. 6(4), 377–402 (1998) C.K.W. Tam, Advances in numerical boundary conditions for computational aeroacoustics. J. Comput. Acoust. 6(4), 377–402 (1998)
Zurück zum Zitat C.K.W. Tam, H. Shen, Direct computation of nonlinear acoustic pulses using high order finite difference schemes. AIAA Pap. 4325 (1993) C.K.W. Tam, H. Shen, Direct computation of nonlinear acoustic pulses using high order finite difference schemes. AIAA Pap. 4325 (1993)
Zurück zum Zitat C.K.W. Tam, J.C. Webb, Dispersion-relation-preserving finite difference schemes for computational acoustics. J. Comput. Phys. 107(2), 262–281 (1993) MathSciNetMATH C.K.W. Tam, J.C. Webb, Dispersion-relation-preserving finite difference schemes for computational acoustics. J. Comput. Phys. 107(2), 262–281 (1993) MathSciNetMATH
Zurück zum Zitat C.K.W. Tam, C. Jay, D. Zhong, A study of the short wave components in computational acoustics. J. Comput. Acoust. 1(01), 1–30 (1993) MathSciNet C.K.W. Tam, C. Jay, D. Zhong, A study of the short wave components in computational acoustics. J. Comput. Acoust. 1(01), 1–30 (1993) MathSciNet
Zurück zum Zitat L. Tang, J.D. Baeder, Uniformly accurate finite difference schemes for p-refinement. SIAM J. Sci. Comput. 20(3), 1115–1131 (1998) MathSciNet L. Tang, J.D. Baeder, Uniformly accurate finite difference schemes for p-refinement. SIAM J. Sci. Comput. 20(3), 1115–1131 (1998) MathSciNet
Zurück zum Zitat P.D. Thomas, C.K. Lombard, Geometric conservation law and its application to flow computations on moving grids. AIAA J. 17, 1030–1037 (1979) MathSciNetMATH P.D. Thomas, C.K. Lombard, Geometric conservation law and its application to flow computations on moving grids. AIAA J. 17, 1030–1037 (1979) MathSciNetMATH
Zurück zum Zitat C. Tu, M. Deville, L. Dheur, L. Vanderschuren, Finite element simulation of pulsatile flow through arterial stenosis. J. Biomech. 25(10), 1141–1152 (1992) C. Tu, M. Deville, L. Dheur, L. Vanderschuren, Finite element simulation of pulsatile flow through arterial stenosis. J. Biomech. 25(10), 1141–1152 (1992)
Zurück zum Zitat P.G. Tucker, Numerical precision and dissipation errors in rotating flows. Int. J. Numer. Methods Heat Fluid Flow 7(7), 647–658 (1997) MATH P.G. Tucker, Numerical precision and dissipation errors in rotating flows. Int. J. Numer. Methods Heat Fluid Flow 7(7), 647–658 (1997) MATH
Zurück zum Zitat P.G. Tucker, Computation of Unsteady Internal Flows: Fundamental Methods with Case Studies (Kluwer Academic, Dordrecht, 2001) P.G. Tucker, Computation of Unsteady Internal Flows: Fundamental Methods with Case Studies (Kluwer Academic, Dordrecht, 2001)
Zurück zum Zitat P.G. Tucker, Novel multigrid orientated solution adaptive time-step approaches. Int. J. Numer. Methods Fluids 40(3–4), 507–519 (2002a) MATH P.G. Tucker, Novel multigrid orientated solution adaptive time-step approaches. Int. J. Numer. Methods Fluids 40(3–4), 507–519 (2002a) MATH
Zurück zum Zitat P.G. Tucker, Temporal behavior of flow in rotating cavities. Numer. Heat Transf., Part A, Appl. 41(6–7), 611–627 (2002b) P.G. Tucker, Temporal behavior of flow in rotating cavities. Numer. Heat Transf., Part A, Appl. 41(6–7), 611–627 (2002b)
Zurück zum Zitat P.G. Tucker, Novel MILES computations for jet flows and noise. Int. J. Heat Fluid Flow 25(4), 625–635 (2004) P.G. Tucker, Novel MILES computations for jet flows and noise. Int. J. Heat Fluid Flow 25(4), 625–635 (2004)
Zurück zum Zitat P.G. Tucker, Turbulence modelling of problem aerospace flows. Int. J. Numer. Methods Fluids 51(3), 261–283 (2006) MATH P.G. Tucker, Turbulence modelling of problem aerospace flows. Int. J. Numer. Methods Fluids 51(3), 261–283 (2006) MATH
Zurück zum Zitat P.G. Tucker, The LES model’s role in jet noise. Prog. Aerosp. Sci. 44(6), 427–436 (2008) P.G. Tucker, The LES model’s role in jet noise. Prog. Aerosp. Sci. 44(6), 427–436 (2008)
Zurück zum Zitat A. Uzun, M.Y. Hussaini, Simulation of noise generation in near-nozzle region of a chevron nozzle jet. AIAA J. 47(8), 1793–1810 (2009) A. Uzun, M.Y. Hussaini, Simulation of noise generation in near-nozzle region of a chevron nozzle jet. AIAA J. 47(8), 1793–1810 (2009)
Zurück zum Zitat G.D. Van Albada, B. Van Leer, W.W. Roberts Jr., A comparative study of computational methods in cosmic gas dynamics. Astron. Astrophys. 108, 76–84 (1982) MATH G.D. Van Albada, B. Van Leer, W.W. Roberts Jr., A comparative study of computational methods in cosmic gas dynamics. Astron. Astrophys. 108, 76–84 (1982) MATH
Zurück zum Zitat B. Van Leer, Towards the ultimate conservative difference scheme III. Upstream-centered finite-difference schemes for ideal compressible flow. J. Comput. Phys. 23(3), 263–275 (1977) MATH B. Van Leer, Towards the ultimate conservative difference scheme III. Upstream-centered finite-difference schemes for ideal compressible flow. J. Comput. Phys. 23(3), 263–275 (1977) MATH
Zurück zum Zitat B. Van Leer, Towards the ultimate conservative difference scheme. V. A second-order sequel to Godunov’s method. J. Comput. Phys. 32(1), 101–136 (1979) B. Van Leer, Towards the ultimate conservative difference scheme. V. A second-order sequel to Godunov’s method. J. Comput. Phys. 32(1), 101–136 (1979)
Zurück zum Zitat B.C. Vermeire, J.S. Cagnone, S. Nadarajah, Iles using the correction procedure via reconstruction scheme, in Proceedings of 51st AIAA Aerospace Sciences Meeting Including the New Horizons Forum and Aerospace Exposition, Grapevine, Dallas/Ft. Worth Region, Texas, 7–10 January 2013. AIAA 2013–1001 B.C. Vermeire, J.S. Cagnone, S. Nadarajah, Iles using the correction procedure via reconstruction scheme, in Proceedings of 51st AIAA Aerospace Sciences Meeting Including the New Horizons Forum and Aerospace Exposition, Grapevine, Dallas/Ft. Worth Region, Texas, 7–10 January 2013. AIAA 2013–1001
Zurück zum Zitat M.R. Visbal, D.V. Gaitonde, On the use of higher-order finite-difference schemes on curvilinear and deforming meshes. J. Comput. Phys. 181(1), 155–185 (2002) MathSciNetMATH M.R. Visbal, D.V. Gaitonde, On the use of higher-order finite-difference schemes on curvilinear and deforming meshes. J. Comput. Phys. 181(1), 155–185 (2002) MathSciNetMATH
Zurück zum Zitat S.G. Wallis, J.R. Manson, Accurate numerical simulation of advection using large time steps. Int. J. Numer. Methods Fluids 24(2), 127–139 (1997) MATH S.G. Wallis, J.R. Manson, Accurate numerical simulation of advection using large time steps. Int. J. Numer. Methods Fluids 24(2), 127–139 (1997) MATH
Zurück zum Zitat Z.J. Wang, Y. Liu, G. May, A. Jameson, Spectral difference method for unstructured grids ii: extension to the Euler equations. J. Sci. Comput. 32(1), 45–71 (2007) MathSciNetMATH Z.J. Wang, Y. Liu, G. May, A. Jameson, Spectral difference method for unstructured grids ii: extension to the Euler equations. J. Sci. Comput. 32(1), 45–71 (2007) MathSciNetMATH
Zurück zum Zitat J.M. Weiss, W.A. Smith, Preconditioning applied to variable and constant density flows. AIAA J. 33(11), 2050–2057 (1995) MATH J.M. Weiss, W.A. Smith, Preconditioning applied to variable and constant density flows. AIAA J. 33(11), 2050–2057 (1995) MATH
Zurück zum Zitat G. Yang, D.M. Causon, D.M. Ingram, R. Saunders, P. Batten, A Cartesian cut cell method for compressible flows. Part B: moving body problems. Aeronaut. J. 101(1002), 57–65 (1997) G. Yang, D.M. Causon, D.M. Ingram, R. Saunders, P. Batten, A Cartesian cut cell method for compressible flows. Part B: moving body problems. Aeronaut. J. 101(1002), 57–65 (1997)
Metadaten
Titel
Computational Methods for Unsteady Flows
verfasst von
P. G. Tucker
Copyright-Jahr
2014
Verlag
Springer Netherlands
DOI
https://doi.org/10.1007/978-94-007-7049-2_2

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