Particle finite element method in fluid-mechanics including thermal convection-diffusion

被引:57
作者
Aubry, R
Idelsohn, SR [1 ]
Oñate, E
机构
[1] Univ Politecn Cataluna, CIMNE, Barcelona, Spain
[2] Univ Nacl Litoral, CIMEC, RA-3000 Santa Fe, Argentina
[3] Consejo Nacl Invest Cient & Tecn, RA-3000 Santa Fe, Argentina
关键词
particle method; Lagrangian description; coupled thermo-mechanical analysis; thermal convection; Rayleigh-Benard instability with free surface; incompressible fluid flow;
D O I
10.1016/j.compstruc.2004.10.021
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
A method is presented for the solution of an incompressible viscous fluid flow with heat transfer using a fully Lagrangian description of the motion. Due to the severe element distortion, a frequent remeshing is performed in an efficient manner. An implicit time integration through a classical fractional step is presented. The non-linearities of the formulation are taken into account and solved with the fixed-point iteration method. The displacement and temperature solutions are coupled through the Boussinesq approximation. The Lagrangian formulation provides an elegant way of solving free-surface problems with thermal convection as the particles are followed during their motion. To illustrate the method, the Rayleigh-Benard instability with and without free surface in two dimensions has been computed. (c) 2005 Elsevier Ltd. All rights reserved.
引用
收藏
页码:1459 / 1475
页数:17
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