Application of time preconditioning and high-order compact discretization method for low Mach number flows

被引：11
|
作者：
Tyliszczak, A. [1 ]
Deconinck, H. [2 ]
机构：
[1] Czestochowa Tech Univ, PL-42200 Czestochowa, Poland
[2] von Karman Inst Fluid Dynam, B-1640 Rhode St Genese, Belgium
来源：
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS | 2013年 / 72卷 / 06期
关键词：
time preconditioning; compact scheme; characteristic boundary conditions; convergence acceleration; NAVIER-STOKES EQUATIONS; FINITE-DIFFERENCE SCHEMES; BOUNDARY-CONDITIONS; HYPERBOLIC SYSTEMS; FLUID; STEADY; DESIGN;
D O I：
10.1002/fld.3756
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
The paper describes a combination of a preconditioning method with a high-order compact discretization scheme for the purpose of solving the compressible NavierStokes equations in moderate and low Mach number regimes. When combined with properly modified characteristic boundary conditions, the proposed approach is very efficient from the point of view of convergence acceleration and accuracy of the results. The computations were performed in typical benchmark cases including the Burggraf flow for which an analytical solution exists, the flow over a backward facing step, and also the flow in 2D and 3D shear-driven cavities. Depending on the test case, the results were obtained for the Mach number in the range M=0.0010.5 and the Reynolds number Re=11000. Copyright (c) 2012 John Wiley & Sons, Ltd.
引用
收藏
页码：650 / 670
页数：21
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