2007-12-10
h-Multigrid for space-time discontinuous Galerkin discretizations of the compressible Navier-Stokes equations
Publication
Publication
Journal of Computational Physics , Volume 227 - Issue 2 p. 1024- 1045
Being implicit in time, the space-time discontinuous Galerkin discretization of the compressible Navier-Stokes equations requires the solution of a non-linear system of algebraic equations at each time-step. The overall performance, therefore, highly depends on the efficiency of the solver. In this article, we solve the system of algebraic equations with a h-multigrid method using explicit Runge-Kutta relaxation. Two-level Fourier analysis of this method for the scalar advection-diffusion equation shows convergence factors between 0.5 and 0.75. This motivates its application to the 3D compressible Navier-Stokes equations where numerical experiments show that the computational effort is significantly reduced, up to a factor 10 w.r.t. single-grid iterations.
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| , , , | |
| doi.org/10.1016/j.jcp.2007.08.034 | |
| Journal of Computational Physics | |
| Organisation | Centrum Wiskunde & Informatica, Amsterdam (CWI), The Netherlands |
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Klaij, C., van Raalte, M., van der Ven, H., & van der Vegt, J. (2007). h-Multigrid for space-time discontinuous Galerkin discretizations of the compressible Navier-Stokes equations. Journal of Computational Physics, 227(2), 1024–1045. doi:10.1016/j.jcp.2007.08.034 |
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