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Multigrid solutions of the Euler and Navier–Stokes equations on unstructured grids

✍ Scribed by Fang-Pang Lin

Publisher
John Wiley and Sons
Year
1999
Tongue
English
Weight
212 KB
Volume
29
Category
Article
ISSN
0271-2091

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✦ Synopsis

A computationally efficient multigrid algorithm for upwind edge-based finite element schemes is developed for the solution of the two-dimensional Euler and Navier -Stokes equations on unstructured triangular grids. The basic smoother is based upon a Galerkin approximation employing an edge-based formulation with the explicit addition of an upwind-type local extremum diminishing (LED) method. An explicit time stepping method is used to advance the solution towards the steady state. Fully unstructured grids are employed to increase the flexibility of the proposed algorithm. A full approximation storage (FAS) algorithm is used as the basic multigrid acceleration procedure.

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