An implicit finite element solution of thermal flows at low Mach number

被引：11

作者：

Liu, Weiming ^{[1
]}

Makhviladze, Georgy ^{[1
]}

机构：

[1] Univ Cent Lancashire, Ctr Res Fire & Explos Studies, Preston PR1 2HE, Lancs, England

来源：

JOURNAL OF COMPUTATIONAL PHYSICS | 2008年 / 227卷 / 05期

关键词：

thermal flows; low Mach number; finite element method; implicit method; stabilised finite element method;

D O I：

10.1016/j.jcp.2007.10.025

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

Thermal flows at low Mach numbers are a basic problem in combustion, environmental pollution prediction and atmospheric physics areas. Most of the existing schemes for solving this problem treat convection explicitly, which confines time step width due to the CFL condition. In this paper, based on the pseudo residual-free bubble approach [F. Brezzi, L.P. Franca, T.J.R. Hughes, A. Russo, b = integral g, Methods Appl. Mech. Eng. 145 (1997) 329-339; T.J.R. Hughes, Multiscale phenomena: Green's functions, the Dirichlet-to-Neumann formulation, subgrid scale models, bubbles and the origins of stabilised methods, Method. Appl. Mech. Eng. 127 (1995) 387-401], we introduce an implicit finite element scheme for the thermal flow problem. We firstly give a low Mach number asymptotics of compressible Navier-Stokes equations for the thermal flows and then derive the numerical scheme for them in detail. Three representative case studies are used to investigate and to test the numerical performances of the proposed scheme. (c) 2007 Elsevier Inc. All rights reserved.

引用

页码：2743 / 2757

页数：15

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