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Erschienen in:
2009 | OriginalPaper | Buchkapitel
A Fully Implicit Jacobian-Free High-Order Discontinuous Galerkin Mesoscale Flow Solver
verfasst von : Amik St-Cyr, David Neckels
Erschienen in: Computational Science – ICCS 2009
Verlag: Springer Berlin Heidelberg
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In this work it is shown how to discretize the compressible Euler equations around a vertically stratified base state using the discontinuous Galerkin approach on collocated Gauss type grids. A stiffly stable Rosenbrock W-method is combined with an approximate evaluation of the Jacobian to integrate in time the resulting system of ODEs. Simulations with fully compressible equations for a rising thermal bubble are performed. Also included are simulations of an inertia gravity wave in a periodic channel. The proposed time-stepping method accelerates the simulation times with respect to explicit Runge-Kutta time stepping procedures having the same number of stages.