Semi-implicit interior penalty discontinuous Galerkin methods for viscous compressible flows

被引:0
作者
Dolejsi, Vit [1 ]
机构
[1] Charles Univ Prague, Fac Math & Phys, Prague 18675, Czech Republic
关键词
compressible Navier-Stokes equations; discontinuous Galerkin finite element method; backward difference formulae; linearization;
D O I
暂无
中图分类号
O4 [物理学];
学科分类号
0702 ;
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.
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页码:231 / 274
页数:44
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