A new meshless approach for three dimensional fluid flow and related heat transfer problems

被引：23

作者：

Wang, Cheng-An ^{[1
]}

Sadat, Hamou ^{[1
]}

Prax, Christian ^{[1
]}

机构：

[1] Univ Poitiers, Inst PPRIME, CNRS, Dept Fluides,ENSMA, F-86022 Poitiers, France

来源：

COMPUTERS & FLUIDS | 2012年 / 69卷

关键词：

Meshless method; Vorticity-vector potential formulation; Natural convection; Sphere; Cubic enclosure; LAMINAR NATURAL-CONVECTION; VECTOR POTENTIAL FORMULATION; DIFFUSE APPROXIMATION METHOD; CONDUCTION PROBLEMS; CUBIC CAVITY; STEADY-STATE; VORTICITY; SIMULATION; ENCLOSURE;

D O I：

10.1016/j.compfluid.2012.08.017

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

The mathematical formulation, basic concept and numerical implementation of a meshless method for solving three dimensional fluid flow and related heat transfer problems are presented in this paper. A second order moving least squares approximation is used for the spatial discretization together with an implicit scheme for time marching. The vorticity and vector potential formulation of Navier-Stokes equations is employed to avoid the difficulties associated with pressure-velocity coupling. Two three-dimensional examples of natural convection in a differentially heated cubic cavity and in the annular space between a sphere and a cube are considered and steady-state solutions are obtained for Rayleigh numbers in the range of 10(3)-10(6). Results show the flexibility of the method and demonstrate its accuracy. (C) 2012 Elsevier Ltd. All rights reserved.

引用

页码：136 / 146

页数：11

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