Analysis of Transient Heat Conduction in 3D Anisotropic Functionally Graded Solids, by the MLPG Method

作者：Sladek J^*; Sladek V; Tan C L; Atluri S N

来源：Computer Modeling in Engineering & Sciences, 2008, 32(3): 161-174.

• meshless method
• local weak form
• Heaviside step function
• moving least squares interpolation
• Laplace transform

A meshless method based on the local Petrov-Galerkin approach is proposed for the Solution of steady-state and transient heat conduction problems in a continuously non-homogeneous anisotropic medium. The Laplace transform is used to treat the time dependence of the variables for transient problems. The analyzed domain is covered by small subdomains with a simple geometry. A weak formulation for the set of governing equations is transformed into local integral equations on local subdomains by using a unit test function. Nodal points are randomly distributed in the 3D analyzed domain and each node is surrounded by a spherical subdomain to which a local Integral equation is applied. The meshless approximation based on the Moving Least-Squares (MLS) method is employed for the implementation. Several example problems with Dirichlet, mixed, and/or convection boundary conditions, are presented to demonstrate the veracity and effectiveness of the numerical approach.

• 出版日期2008-8