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High Order Approximations for Compressible Fluid Dynamics on Unstructured and Cartesian Meshes Read chapter Read first chapter

1999 | OriginalPaper | Chapter

hp-FEM for Fluid Flow Simulation

Author : Christoph Schwab

Published in: High-Order Methods for Computational Physics

Publisher: Springer Berlin Heidelberg

Included in: Professional Book Archive

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We present some mathematical foundations of hp-FEM for fluid flow simulation. Particular attention is paid to the mesh-design for viscous, incompressible flow where the regularity of the solution mandates resolution of corner singularities and boundary layers. Stabilized and discontinuous hp-FEM for advection dominated and nearly incompressible flows are derived. A new hp-adaptive time stepping strategy for spectral accuracy in transient problems is presented.

previous chapter Adaptive Spectral Element Methods for Turbulence and Transition
next chapter High Order ENO and WENO Schemes for Computational Fluid Dynamics
Metadata
Title
hp-FEM for Fluid Flow Simulation
Author
Christoph Schwab
Copyright Year
1999
Publisher
Springer Berlin Heidelberg
Book
High-Order Methods for Computational Physics

Print ISBN: 978-3-662-03884-0

Electronic ISBN: 978-3-662-03882-6

Copyright Year: 1999

DOI
https://doi.org/10.1007/978-3-662-03882-6_4

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