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Journal of Scientific Computing
Erschienen in: Journal of Scientific Computing 1/2018

23.04.2018

Hybrid Optimized Low-Dissipation and Adaptive MUSCL Reconstruction Technique for Hyperbolic Conservation Laws

verfasst von: Jie Wu, Yuan-yuan He, Guo-hao Ding, Yi-yu Han

Erschienen in: Journal of Scientific Computing | Ausgabe 1/2018

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Abstract

A new hybrid optimized low-dissipation and adaptive MUSCL scheme is present for finite volume method. The proposed scheme, based on an optimized linear scheme with monotonicity preserving limitation and an adaptive MUSCL scheme, emphasizes on the resolution rather than the formal order. This technique is applied to cell interface reconstruction and bears similarity in form to the widely used MUSCL scheme except wider interpolation stencil. Although the scheme is not high order of accuracy because of adaptive MUSCL scheme acting as nonlinear part, the low-dissipation feature from the optimized linear part makes it very accurate and robust in many practical applications, where much richer flow structures can be obtained. A number of test cases are solved to validate the high resolution of the present scheme.
Vorheriger Artikel A Sparse Grid Stochastic Collocation Upwind Finite Volume Element Method for the Constrained Optimal Control Problem Governed by Random Convection Diffusion Equations
Nächster Artikel Shock Regularization with Smoothness-Increasing Accuracy-Conserving Dirac-Delta Polynomial Kernels

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Literatur
1.
Wang, Z.J., et al.: High-order CFD methods: current status and perspective. Int. J. Numer. Meth. Fluids 72, 811–845 (2013)MathSciNetCrossRef
2.
May, G., Jameson, A.: High-order accurate methods for high-speed flow. In: 17th AIAA Computational Fluid Dynamics Conference, 6–9 June 2005, Toronto, Ontario Canada, AIAA 2005-5251
3.
Titarev, V.A., Toro, E.F.: Finite-volume WENO schemes for three-dimensional conservation laws. J. Comput. Phys. 201, 238–260 (2004)MathSciNetCrossRefMATH
4.
5.
6.
7.
Sun, Z.-S., Ren, Y.-X.: A class of finite difference schemes with low dispersion and constrollable dissipation for DNS of compressible turbulence. J. Comput. Phys. 230, 4616–4635 (2011)MathSciNetCrossRefMATH
8.
Fang, J., Li, Z., Lipeng, L.: An optimized low-dissipation monotonicity-preserving scheme for numerical simulations of high-speed turbulent flows. J. Sci. Comput. 56, 67–95 (2013)MathSciNetCrossRefMATH
9.
Li, X.-l., Leng, Y., He, Z.-w.: Optimized sixth-order monotonicity-preserving scheme by nonlinear spectral analysis. Int. J. Numer. Meth. Fluids 73, 560–577 (2013)MathSciNetCrossRef
10.
Suresh, A., Huynh, H.T.: Accurate monotonicity-preserving schemes with Runge-Kutta time stepping. J. Comput. Phys. 136, 83–90 (1997)MathSciNetCrossRefMATH
11.
Balsara, D.S., Shu, C.W.: Monotonicity preserving weighted essentially non-oscillatory schemes with increasingly high order of accuracy. J. Comput. Phys. 160, 405–452 (2000)MathSciNetCrossRefMATH
12.
Jammalamadaka, A., Li, Z., et al.: Subgrid-scale models for large-Eddy simulations of shock boundary layer interactions. AIAA J 51(5), 1174–1188 (2013)CrossRef
13.
Sun, Z.-s., Luo, L., Ren, Y.-x., Zhang, S.-y.: A sixth order hybrid finite difference scheme based on the minimized dispersion and controllable dissipation technique. J. Comput. Phys. 270, 238–254 (2014)MathSciNetCrossRefMATH
14.
Adams, N.A., Shariff, K.: A high-resolution hybrid compact-ENO scheme for shock-turbulence interaction problems. J. Comput. Phys. 127, 27–51 (1996)MathSciNetCrossRefMATH
15.
Pirozzoli, S.: Conservative hybrid compact-WENO schemes for shock-turbulence interaction. J. Comput. Phys. 178, 81–117 (2002)MathSciNetCrossRefMATH
16.
Ren, Y.-X., Liu, M., Zhang, H.: A characteristic-wise hybrid compact-WENO scheme for solving hyperbolic conservation laws. J. Comput. Phys. 192, 365–386 (2003)MathSciNetCrossRefMATH
17.
Hill, D.J., Pullin, D.I.: Hybrid tuned center-difference-WENO method for large eddy simulations in the presence of strong shocks. J. Comput. Phys. 194, 435–450 (2004)CrossRefMATH
18.
Hu, X.Y., Wang, Q., Adams, N.A.: An adaptive central-upwind weighted essentially non-oscillatory scheme. J. Comput. Phys. 229, 8952–8965 (2010)MathSciNetCrossRefMATH
19.
Martin, M.P., Taylor, E.M., Wu, M., Weirs, V.G.: A bandwidth-optimized WENO scheme for effective direct numerical simulation of compressible turbulence. J. Comput. Phys. 220, 270–289 (2006)CrossRefMATH
20.
QiuJu, W.A.N.G., YuXin, R.E.N., ZhenSheng, S.U.N., YuTao, S.U.N.: Low dispersion finite volume scheme based on reconstruction with minimized dispersion and controllable dissipation. Sci China Phys Mech Astron 56, 423–431 (2013)CrossRef
21.
Ren, Y.-X., Liu, M., Zhang, H.: A characteristic-wise hybrid compact-WENO scheme for solving hyperbolic conservation laws. J. Comput. Phys. 192, 365–386 (2003)MathSciNetCrossRefMATH
22.
Kim, D., Kwon, J.H.: A high-order accurate hybrid scheme using a central flux scheme and a WENO scheme for compressible flowfield analysis. J. Comput. Phys. 210, 554–583 (2005)MathSciNetCrossRefMATH
23.
Li, G., Qiu, J.: Hybrid weighted essentially non-oscillatory with different indicators. J. Comput. Phys. 229, 8105–8129 (2010)MathSciNetCrossRefMATH
24.
Billet, G., Louedin, O.: Adaptive limiters for improving the accuracy of the MUSCL approach for unsteady flows. J. Comput. Phys. 170, 161–183 (2001)CrossRefMATH
25.
Gottlieb, S., Ketcheson, D.I., Shu, C.W.: High order strong stability preserving time discretizations. J. Sci. Comput. 38, 251–289 (2009)MathSciNetCrossRefMATH
26.
Spiteri, R.J., Ruuth, S.J.: Non-linear evolution using optimal fourth-order strong-stability-preserving Runge–Kutta methods. Math Comput Simul 62, 125–135 (2003)MathSciNetCrossRefMATH
27.
Leveque, R.J.: Finite-volume methods for hyperbolic problems. Cambridge University Press, Cambridge (2004)
28.
Borges, R., Carmona, M., Costa, B., Don, W.S.: An improved weighted essentially non-oscillatory scheme for hyperbolic conservation laws. J. Comput. Phys. 227, 3101–3211 (2008)MathSciNetCrossRefMATH
29.
Castro, M., Costa, B., Don, W.S.: High order weighted essentially non-oscillatory WENO-Z schemes for hyperbolic conservation laws. J. Comput. Phys. 230, 1766–1792 (2011)MathSciNetCrossRefMATH
30.
Fan, P., Shen, Y., Tian, B., Yang, C.: A new smoothness indicator for improving the weighted essentially non-oscillatory scheme. J. Comput. Phys. 269, 329–354 (2014)MathSciNetCrossRefMATH
31.
32.
Guo, Y., Xiong, T., Shi, Y.: A positivity-preserving high order finite volume compact-WENO scheme for compressible Euler equations. J. Comput. Phys. 274, 505–523 (2014)MathSciNetCrossRefMATH
33.
Shima, E., Kitamura, K.: Parameter-free simple low-dissipation AUSM-family scheme for all speeds. AIAA J 49(8), 1693–1709 (2011)CrossRef
34.
Kitamura, K., Shima, E.: Towards shock-stable and accurate hypersonic heating computations: A new pressure flux for AUSM-family schemes. J. Comput. Phys. 245, 62–83 (2013)MathSciNetCrossRefMATH
35.
Feng, H., Fuxing, H., Wang, R.: A new mapped weighted essentially non-oscillatory scheme. J. Sci. Comput. 51, 449–473 (2012)MathSciNetCrossRefMATH
36.
Kurganov, A., Tadmor, E.: Solution of two-dimensional Riemann problems for gas dynamics without Riemann problem solvers. Numer Method Partial Differ Equ 21(3), 536–552 (2005)CrossRefMATH
37.
Dumbser, M., et al.: ADER-WENO finite volume schemes with space-time adaptive mesh refinement. J. Comput. Phys. 248, 257–286 (2013)MathSciNetCrossRefMATH
38.
Woodward, P., Colella, P.: The numerical simulation of two-dimensional fluid flow with strong shocks. J. Comput. Phys. 54, 115–173 (1984)MathSciNetCrossRefMATH
39.
Huang, K., et al.: Cures for numerical shock instability in HLLC solver. Int. J. Numer. Meth. Fluids 65, 1026–1038 (2011)CrossRefMATH
Metadaten
Titel
Hybrid Optimized Low-Dissipation and Adaptive MUSCL Reconstruction Technique for Hyperbolic Conservation Laws
verfasst von
Jie Wu
Yuan-yuan He
Guo-hao Ding
Yi-yu Han
Publikationsdatum
23.04.2018
Verlag
Springer US
Erschienen in
Journal of Scientific Computing / Ausgabe 1/2018
Print ISSN: 0885-7474
Elektronische ISSN: 1573-7691
DOI
https://doi.org/10.1007/s10915-018-0717-7

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