Heat transfer analysis of composite slabs using meshless element Free Galerkin method

2005 ◽  
Vol 38 (6) ◽  
pp. 521-532 ◽  
Author(s):  
I. V. Singh
Keyword(s):  
Heat Transfer ◽  
Galerkin Method ◽  
Heat Transfer Analysis ◽  
Element Free Galerkin Method ◽  
Element Free Galerkin ◽  
Composite Slabs ◽  
Element Free

Welding Heat Transfer Analysis Using Element Free Galerkin Method

2011 ◽  
Vol 410 ◽  
pp. 298-301 ◽  
Author(s):  
Raj Das ◽  
K.S. Bhattacharjee ◽  
S. Rao
Keyword(s):  
Heat Transfer ◽  
Arc Welding ◽  
Heat Transfer Analysis ◽  
The Finite Element Method ◽  
Element Free Galerkin Method ◽  
High Deformation ◽  
New Class ◽  
Element Free Galerkin ◽  
Mesh Less ◽  
Element Free

Mesh-less methods belong to a new class of numerical methods in computational mechanics and offer several advantages over the conventional mesh-based methods. They enable modelling of processes involving high deformation, severe discontinuities (e.g. fracture) and multiple physical processes. These types of situations are usually encountered in arc welding, rendering its modelling suitable via mesh-less methods. In this paper, a mesh-less Element Free Galerkin (EFG) method has been developed to model the heat transfer during welding. The results predicted by the EFG method are found to be in close agreement with those obtained by the finite element method and those observed in welding experiments. This demonstrates the effectiveness and utilities of the EFG method for modelling and understanding the heat transfer processes in arc welding.

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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