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2020 | OriginalPaper | Chapter

2. Einführung in numerische Methoden

Authors : Joel H. Ferziger, Milovan Perić, Robert L. Street

Published in: Numerische Strömungsmechanik

Publisher: Springer Berlin Heidelberg

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Zusammenfassung

Eine Einführung in numerische Lösungsverfahren wird in diesem Kapitel gegeben. Die Vor- und Nachteile numerischer Verfahren werden diskutiert, und die Möglichkeiten und Grenzen des rechnerischen Ansatzes werden skizziert. Daran schließt sich eine Beschreibung der Komponenten eines numerischen Lösungsverfahrens und ihrer Eigenschaften an. Zuletzt wird eine kurze Beschreibung der grundlegenden Berechnungsmethoden (Finite Differenzen, Finite Volumen und Finite Elemente) gegeben.

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Literature
go back to reference Arcilla, A. S., Häuser, J., Eiseman, P. R. & Thompson, J. F. (Hrsg.). (1991). Numerical grid generation in computational fluid dynamics and related fields, Amsterdam, Holland: North-Holland. Arcilla, A. S., Häuser, J., Eiseman, P. R. & Thompson, J. F. (Hrsg.). (1991). Numerical grid generation in computational fluid dynamics and related fields, Amsterdam, Holland: North-Holland.
go back to reference Berndt, P. (1973). Bedeutung der Variationsrechnung in der Strömungsmechanik und ihre Anwendung bei kompressiblen Potentialströmungen. Dissertation, Technische Universität München. Berndt, P. (1973). Bedeutung der Variationsrechnung in der Strömungsmechanik und ihre Anwendung bei kompressiblen Potentialströmungen. Dissertation, Technische Universität München.
go back to reference Donea, J. & Huerta, A. (2003). Finite element methods for flow problems. Chichester, England (available at Wiley Online Library): Wiley.CrossRef Donea, J. & Huerta, A. (2003). Finite element methods for flow problems. Chichester, England (available at Wiley Online Library): Wiley.CrossRef
go back to reference Fletcher, C. A. J. (1991). Computational techniques for fluid dynamics (2. Aufl.,Bd. I & II). Berlin: Springer. Fletcher, C. A. J. (1991). Computational techniques for fluid dynamics (2. Aufl.,Bd. I & II). Berlin: Springer.
go back to reference Glowinski, R. & Pironneau, O. (1992). Finite element methods for Navier-Stokes equations. Annu. Rev. Fluid Mech. 24, 167–204.ADSMathSciNetCrossRef Glowinski, R. & Pironneau, O. (1992). Finite element methods for Navier-Stokes equations. Annu. Rev. Fluid Mech. 24, 167–204.ADSMathSciNetCrossRef
go back to reference Hadžić, H. (2005). Development and application of a finite volume method for the computation of flows around moving bodies on unstructured, overlapping grids PhD Dissertation. Technische Universität Hamburg-Harburg. Hadžić, H. (2005). Development and application of a finite volume method for the computation of flows around moving bodies on unstructured, overlapping grids PhD Dissertation. Technische Universität Hamburg-Harburg.
go back to reference Hinatsu, M. & Ferziger, J. H. (1991). Numerical computation of unsteady incompressible flow in complex geometry using a composite multigrid technique. Int. J. Numer. Methods Fluids, 13, 971–997.ADSCrossRef Hinatsu, M. & Ferziger, J. H. (1991). Numerical computation of unsteady incompressible flow in complex geometry using a composite multigrid technique. Int. J. Numer. Methods Fluids, 13, 971–997.ADSCrossRef
go back to reference Hubbard, B. J. & Chen, H. C. (1994). A Chimera scheme for incompressible viscous flows with applications to submarine hydrodynamics In 25th AIAA Fluid Dynamics Conference. AIAA Paper 94-2210 Hubbard, B. J. & Chen, H. C. (1994). A Chimera scheme for incompressible viscous flows with applications to submarine hydrodynamics In 25th AIAA Fluid Dynamics Conference. AIAA Paper 94-2210
go back to reference Hubbard, B. J. & Chen, H. C. (1995). Calculations of unsteady flows around bodies with relative motion using a Chimera RANS method In Proc. 10th ASCE Engineering Mechanics Conference. Boulder, CO: Univ. of Colorado at Boulder. Hubbard, B. J. & Chen, H. C. (1995). Calculations of unsteady flows around bodies with relative motion using a Chimera RANS method In Proc. 10th ASCE Engineering Mechanics Conference. Boulder, CO: Univ. of Colorado at Boulder.
go back to reference Oden, J. T. (2006). Finite elements of non-linear continua Mineola, NY: Dover Publications. Oden, J. T. (2006). Finite elements of non-linear continua Mineola, NY: Dover Publications.
go back to reference Perng, C. Y. & Street, R. L. (1991). A coupled multigrid – domain-splitting technique for simulating incompressible flows in geometrically complex domains Int. J. Numer. Methods Fluids, 13, 269–286. Perng, C. Y. & Street, R. L. (1991). A coupled multigrid – domain-splitting technique for simulating incompressible flows in geometrically complex domains Int. J. Numer. Methods Fluids, 13, 269–286.
go back to reference Richtmyer, R. D. & Morton, K. W. (1967). Difference methods for initial value problems. New York: Wiley.MATH Richtmyer, R. D. & Morton, K. W. (1967). Difference methods for initial value problems. New York: Wiley.MATH
go back to reference Senocak, I. & Jacobsen, D. Acceleration of complex terrain wind predictions using many-core computing hardware. In 5th Intl. Symp. Comput. Wind Engrg. (CWE2010). Intl. Assoc. for Wind Engrg. Paper 498 Senocak, I. & Jacobsen, D. Acceleration of complex terrain wind predictions using many-core computing hardware. In 5th Intl. Symp. Comput. Wind Engrg. (CWE2010). Intl. Assoc. for Wind Engrg. Paper 498
go back to reference Street, R. L. (1973). Analysis and solution of partial differential equations. Monterey, CA: Brooks/Cole Pub. Co. Street, R. L. (1973). Analysis and solution of partial differential equations. Monterey, CA: Brooks/Cole Pub. Co.
go back to reference Thibault, J. C. & Senocak, I. (2009). CUDA implementation of a Navier-Stokes solver on multi-GPU desktop platforms for incompressible flows. In 47th AIAA Aerospace Sci. Mtg., AIAA Paper 2009-758. Thibault, J. C. & Senocak, I. (2009). CUDA implementation of a Navier-Stokes solver on multi-GPU desktop platforms for incompressible flows. In 47th AIAA Aerospace Sci. Mtg., AIAA Paper 2009-758.
go back to reference Thompson, J. F., Warsi, Z. U. A. & Mastin, C. W. (1985). Numerical grid generation – foundations and applications New York: Elsevier. Thompson, J. F., Warsi, Z. U. A. & Mastin, C. W. (1985). Numerical grid generation – foundations and applications New York: Elsevier.
go back to reference Tu, J. Y. & Fuchs, L. (1992). Overlapping grids and multigrid methods for three-dimensional unsteady flow calculation in IC engines. Int. J. Numer. Methods Fluids, 15, 693–714.ADSCrossRef Tu, J. Y. & Fuchs, L. (1992). Overlapping grids and multigrid methods for three-dimensional unsteady flow calculation in IC engines. Int. J. Numer. Methods Fluids, 15, 693–714.ADSCrossRef
go back to reference Zang, Y. & Street, R. L. (1995). A composite multigrid method for calculating unsteady incompressible flows in geometrically complex domains. Int. Numer. Methods Fluids, 20, 341–361.CrossRef Zang, Y. & Street, R. L. (1995). A composite multigrid method for calculating unsteady incompressible flows in geometrically complex domains. Int. Numer. Methods Fluids, 20, 341–361.CrossRef
go back to reference Zienkiewicz, O. C., Taylor, R. L. & Nithiarasu, P. (2005). The finite element method for fluid dynamics (6. Aufl.). Burlington, MA: Butterworth- Heinemann (Elsevier). Zienkiewicz, O. C., Taylor, R. L. & Nithiarasu, P. (2005). The finite element method for fluid dynamics (6. Aufl.). Burlington, MA: Butterworth- Heinemann (Elsevier).
Metadata
Title
Einführung in numerische Methoden
Authors
Joel H. Ferziger
Milovan Perić
Robert L. Street
Copyright Year
2020
Publisher
Springer Berlin Heidelberg
DOI
https://doi.org/10.1007/978-3-662-46544-8_2

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