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Efficient p ‐multigrid discontinuous Galerkin solver for complex viscous flows on stretched grids
Author(s) -
Ghidoni A.,
Colombo A.,
Bassi F.,
Rebay S.
Publication year - 2014
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/fld.3888
Subject(s) - multigrid method , euler equations , discontinuous galerkin method , navier–stokes equations , solver , mathematics , computational fluid dynamics , euler's formula , rate of convergence , convergence (economics) , compressible flow , flow (mathematics) , compressibility , mathematical optimization , mathematical analysis , computer science , finite element method , geometry , partial differential equation , mechanics , physics , channel (broadcasting) , computer network , economics , thermodynamics , economic growth
SUMMARY Discontinuous Galerkin methods are very well suited for the construction of very high‐order approximations of the Euler and Navier–Stokes equations on unstructured and possibly nonconforming grids but are rather demanding in terms of computational resources. In order to improve their computational efficiency, a p ‐multigrid solution strategy is here considered for the solution of the Navier–Stokes equations. In particular, a line smoother will be used to alleviate the effect of stretched grids on the convergence rate. The effectiveness and efficiency of the proposed approach in the solution of compressible shockless flow problems is demonstrated on the following 3D viscous test cases: a Delta Wing and a 3D streamlined body. Copyright © 2014 John Wiley & Sons, Ltd.