An element free Galerkin method for nonlinear heat transfer with phase change in Qinghai–Tibet railway embankment

2007 ◽  
Vol 48 (1) ◽  
pp. 15-23 ◽  
Author(s):  
Gao Zhihua ◽  
Lai Yuanming ◽  
Zhang Mingyi ◽  
Qi Jilin ◽  
Zhang Shujuan
Keyword(s):  
Heat Transfer ◽  
Phase Change ◽  
Galerkin Method ◽  
Element Free Galerkin Method ◽  
Element Free Galerkin ◽  
Nonlinear Heat Transfer ◽  
Element Free

Meshless Element-Free Galerkin Method for Ground-Coupled Heat Transfer Problems

2012 ◽  
Vol 263-266 ◽  
pp. 3292-3297
Author(s):  
Xiang Qian Li ◽  
Wei Wei Wang ◽  
Ming Hai Li ◽  
Mao Yu Zhen
Keyword(s):  
Heat Transfer ◽  
Galerkin Method ◽  
Soil Layer ◽  
Homogeneous Medium ◽  
Element Free Galerkin Method ◽  
Coupled Heat Transfer ◽  
Discrete Equations ◽  
Element Free Galerkin ◽  
Element Free ◽  
Transfer Problems

A meshless element-free Galerkin method (EFGM) which is applicable to arbitrary shapes but requires only nodal data is applied to two-dimensional steady-state ground-coupled heat transfer problems. The soil layer around underground constructions is modeled as a homogeneous medium and as a layered soil with two layers. Variational method is utilized to obtain the discrete equations. Moving least squares (MLS) approximants are used to construct the shape functions. Lagrange multiplier technique is employed to enforce the essential boundary conditions. The calculation precision of EFGM is validated by comparing EFGM results with those obtained by finite element method (FEM). EFGM reduce considerably the preparation of the model. EFGM is very appropriate for the ground-coupled heat transfer problems.

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