Chapter

Some numerical methods for fluids

Bijan Mohammadi and Olivier Pironneau

in Applied Shape Optimization for Fluids

Second edition

Published in print September 2009 | ISBN: 9780199546909
Published online February 2010 | e-ISBN: 9780191720482 | DOI: http://dx.doi.org/10.1093/acprof:oso/9780199546909.003.0004

Series: Numerical Mathematics and Scientific Computation

 Some numerical methods for fluids

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This chapter deals with the numerical methods that will be used for the flow solvers. As in most commercial and industrial packages, unstructured meshes with automatic mesh generation and adaptation are used together with finite volume or finite element discretization for these complex geometries. The iterative solvers and the flux functions for upwinding are also presented. Main algorithms for compressible and incompressible fluid flow calculations are given.

Keywords: finite volume; finite element; mesh adaptation; mesh generation; upwinding

Chapter.  5950 words.  Illustrated.

Subjects: Mathematical and Statistical Physics

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