Semi-Implicit Interior Penalty Discontinuous Galerkin Methods for Viscous Compressible Flows  

作　　者：Vit Dolejsi 

机构地区：[1]Charles University Prague,Faculty of Mathematics and Physics,Sokolovska 83,18675 Prague,Czech Republic.

出　　处：《Communications in Computational Physics》2008年第7期231-274,共44页计算物理通讯（英文）

摘　　要：We deal with the numerical solution of the Navier-Stokes equations describing a motion of viscous compressible fluids.In order to obtain a sufficiently stable higher order scheme with respect to the time and space coordinates,we develop a combination of the discontinuous Galerkin finite element(DGFE)method for the space discretization and the backward difference formulae(BDF)for the time discretization.Since the resulting discrete problem leads to a system of nonlinear algebraic equations at each time step,we employ suitable linearizations of inviscid as well as viscous fluxes which give a linear algebraic problem at each time step.Finally,the resulting BDF-DGFE scheme is applied to steady as well as unsteady flows and achieved results are compared with reference data.

关 键 词：Compressible Navier-Stokes equations discontinuous Galerkin finite element method backward difference formulae linearization. 

分 类 号：O17[理学—数学]