MESHLESS LOCAL PETROV-GALERKIN METHOD FOR NONLINEAR HEAT CONDUCTION PROBLEMS

被引：33
|
作者：
Thakur, Harishchandra [1 ]
Singh, K. M. [1 ]
Sahoo, P. K. [1 ]
机构：
[1] Indian Inst Technol Roorkee, Dept Mech & Ind Engn, Roorkee 247667, Uttar Pradesh, India
来源：
NUMERICAL HEAT TRANSFER PART B-FUNDAMENTALS | 2009年 / 56卷 / 05期
关键词：
FINITE-ELEMENT; MLPG APPROACH; EQUATION; FORMULATION; MECHANICS;
D O I：
10.1080/10407790903508152
中图分类号：
O414.1 [热力学];
学科分类号：
摘要：
The meshless local Petrov-Galerkin (MLPG) method is an effective meshless method to solve partial differential equations. In this article, the MLPG method is used to solve nonlinear steady and transient heat conduction problems. The essential boundary condition is enforced by the method of direct interpolation. The moving least-squares (MLS) method is used for interpolation. Thermal conductivity of the material is assumed to be dependent on the temperature. An iterative procedure based on the predictor-corrector method is used. Time integration is performed using the h method. Results are compared with the available exact solution and the solution by the finite-element method, and is found to be in good agreement.
引用
收藏
页码：393 / 410
页数：18
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