m (Cinmemj moved page Draft Samper 415986063 to Luo et al 2006d) |
|
(No difference)
|
A -multigrid ( = polynomial degree) discontinuous Galerkin method is presented for the solution of the compressible Euler equations on unstructured grids. The method operates on a sequence of solution approximations of different polynomial orders. A distinct feature of this -multigrid method is to use different time integration schemes on different approximation levels, resulting in an accurate, fast, and low memory method that can be used to accelerate the convergence of the Euler equations to a steady state for discontinuous Galerkin methods. The developed method is used to compute the compressible flows for a variety of test problems on unstructured grids. The numerical results obtained strongly indicate the order independent property of this -multigrid method. An overall speed-up factor more than one order of magnitude for both second- and third-order solutions of all test cases in comparison with the explicit method is demonstrated.
Published on 01/01/2006
DOI: 10.1016/j.jcp.2005.06.019
Licence: CC BY-NC-SA license
Are you one of the authors of this document?