Author： Rasetarinera P. Hussaini M.Y.
Publisher： Academic Press
ISSN： 0021-9991
Source： Journal of Computational Physics, Vol.172, Iss.2, 2001-09, pp. : 718-738
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Abstract
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.
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