期刊
JOURNAL OF COMPUTATIONAL PHYSICS
卷 172, 期 2, 页码 718-738出版社
ACADEMIC PRESS INC
DOI: 10.1006/jcph.2001.6853
关键词
discontinuous Galerkin method; implicit method; matrix-free; Newton-Krylov-Schwarz
The present paper discusses an implicit discontinuous spectral Galerkin method for the solution of the compressible Euler equations. A matrix-free Newton-Krylov-Schwarz algorithm with one-level and two-level nonoverlapping Schwarz preconditioners is used to solve the implicit systems. The study shows that this method is a factor of 50 faster than an explicit method that employs local time-stepping to accelerate convergence to steady-state solution. Procedures using LU-SGS preconditioner appear to provide the best performance. The two-level procedure is found necessary for relatively fast convergence in the case of large numbers of mesh elements. (C) Academic Press.
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