PHASE CHANGE PROBLEMS USING THE MLPG METHOD

被引：30

作者：

Thakur, Harishchandra ^{[2
]}

Singh, K. M. ^{[1
]}

Sahoo, P. K. ^{[1
]}

机构：

[1] Indian Inst Technol Roorkee, Dept Mech & Ind Engn, Roorkee 247667, Uttar Pradesh, India

[2] Coll Engn Roorkee, Dept Mech Engn, Roorkee, Uttar Pradesh, India

来源：

NUMERICAL HEAT TRANSFER PART A-APPLICATIONS | 2011年 / 59卷 / 06期

关键词：

HEAT-CONDUCTION PROBLEMS; PETROV-GALERKIN METHOD; DEPENDENT THERMAL-CONDUCTIVITY; FINITE-ELEMENT SIMULATION; MESHLESS METHOD; SOLIDIFICATION PROBLEMS; STEADY-STATE; DIFFUSION; FORMULATION; ALGORITHM;

D O I：

10.1080/10407782.2011.552367

中图分类号：

O414.1 [热力学];

学科分类号：

摘要：

This article discusses the application of the MLPG method to phase change problems. Phase change problems belong to a nonlinear class of problem due to a continuously moving interface. Apparent capacity method based on the enthalpy formulation is used here. The method of direct interpolation is employed to enforce essential boundary conditions. Function approximation is completed by using the moving least squares (MLS) method. An iterative procedure based on the predictor-corrector method has been used to handle nonlinearity. Time integration has been performed using the theta-method. Results have been compared with the available exact solution and the solution of the finite element method, and found to be in good agreement.

引用

页码：438 / 458

页数：21

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