Abstract
We present an implicit solution method for the compressible Navier-Stokes equations based on a Discontinuous Galerkin space discretization and on the implicit backward Euler time integration scheme. The linear system arising from the implicit time stepping scheme are solved with the preconditioned GMRES iterative method. Several preconditioners have been considered. We describe the features of the method and investigate its accuracy and performance by computing several classical 2-dimensional test cases.
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Bassi, F., Rebay, S. (2000). GMRES Discontinuous Galerkin Solution of the Compressible Navier-Stokes Equations. In: Cockburn, B., Karniadakis, G.E., Shu, CW. (eds) Discontinuous Galerkin Methods. Lecture Notes in Computational Science and Engineering, vol 11. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-59721-3_14
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DOI: https://doi.org/10.1007/978-3-642-59721-3_14
Publisher Name: Springer, Berlin, Heidelberg
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