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.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Literatur
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.
Berndt, P. (1973). Bedeutung der Variationsrechnung in der Strömungsmechanik und ihre Anwendung bei kompressiblen Potentialströmungen. Dissertation, Technische Universität München.
Donea, J. & Huerta, A. (2003). Finite element methods for flow problems. Chichester, England (available at Wiley Online Library): Wiley.
Fletcher, C. A. J. (1991). Computational techniques for fluid dynamics (2. Aufl.,Bd. I & II). Berlin: Springer.
Glowinski, R. & Pironneau, O. (1992). Finite element methods for Navier-Stokes equations. Annu. Rev. Fluid Mech. 24, 167–204.
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.
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.
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. (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.
Oden, J. T. (2006). Finite elements of non-linear continua Mineola, NY: Dover Publications.
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.
Richtmyer, R. D. & Morton, K. W. (1967). Difference methods for initial value problems. New York: Wiley.
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
Street, R. L. (1973). Analysis and solution of partial differential equations. Monterey, CA: Brooks/Cole Pub. Co.
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.
Thompson, J. F., Warsi, Z. U. A. & Mastin, C. W. (1985). Numerical grid generation – foundations and applications New York: Elsevier.
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.
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.
Zienkiewicz, O. C., Taylor, R. L. & Nithiarasu, P. (2005). The finite element method for fluid dynamics (6. Aufl.). Burlington, MA: Butterworth- Heinemann (Elsevier).
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2020 Springer-Verlag GmbH Deutschland, ein Teil von Springer Nature
About this chapter
Cite this chapter
Ferziger, J.H., Perić, M., Street, R.L. (2020). Einführung in numerische Methoden. In: Numerische Strömungsmechanik. Springer Vieweg, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-46544-8_2
Download citation
DOI: https://doi.org/10.1007/978-3-662-46544-8_2
Published:
Publisher Name: Springer Vieweg, Berlin, Heidelberg
Print ISBN: 978-3-662-46543-1
Online ISBN: 978-3-662-46544-8
eBook Packages: Life Science and Basic Disciplines (German Language)