Title of article :
A semi-implicit discontinuous Galerkin finite element method for the numerical solution of inviscid compressible flow
Author/Authors :
Dolejsi، Mary Kay نويسنده , , V. and Feistauer، نويسنده , , M.، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2004
Abstract :
The paper is concerned with the numerical solution of an inviscid compressible flow with the aid of the discontinuous Galerkin finite element method. Since the explicit time discretization requires a high restriction of the time step, we propose semi-implicit numerical schemes based on the homogeneity of inviscid fluxes, allowing a simple linearization of the Euler equations which leads to a linear algebraic system on each time level. Numerical experiments performed for the Ringleb flow problem verify a higher order of accuracy of the presented method and demonstrate lower CPU-time costs in comparison with an explicit method. Then the method is tested on more complex unsteady Euler flows.
Keywords :
Ringleb test problem , Complex Euler flows , compressible Euler equations , Homogeneity of inviscid fluxes , discontinuous Galerkin finite element method , First- and second-order time discretization , Implicit backward Euler method , Vijayasundaram numerical flux , Semi-implicit linearized numerical scheme , Experimental order of accuracy , CFL-stability condition
Journal title :
Journal of Computational Physics
Journal title :
Journal of Computational Physics