Meshless Local Petrov-Galerkin Method for 3D Steady-State Heat Conduction Problems

被引：8

作者：

Mahmoodabadi, M. J. ^{[1
]}

Maafi, R. Abedzadeh ^{[2
]}

Bagheri, A. ^{[1
]}

Baradaran, G. H. ^{[3
]}

机构：

[1] Univ Guilan, Dept Mech Engn, Rasht, Iran

[2] Islamic Azad Univ, Takestan Branch, Dept Mech Engn, Takestan, Iran

[3] Shahid Bahonar Univ Kerman, Dept Mech Engn, Kerman, Iran

来源：

ADVANCES IN MECHANICAL ENGINEERING | 2011年

关键词：

MLPG METHOD; VIBRATION ANALYSES; TIP;

D O I：

10.1155/2011/251546

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 applied for solving the three-dimensional steady state heat conduction problems. This method is a truly meshless approach; also neither the nodal connectivity nor the background mesh is required for solving the initial boundary-value problems. The penalty method is adopted to enforce the essential boundary conditions. The moving least squares (MLS) approximation is used for interpolation schemes and the Heviside step function is chosen for representing the test function. The numerical results are compared with the exact solutions of the problem and Finite Difference Method (FDM). This comparison illustrates the accuracy as well as the capability of this method.

引用

页数：10

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