Meshless element free Galerkin method for unsteady nonlinear heat transfer problems |
| |
Affiliation: | 1. Department of Mechanical and Industrial Engineering, Indian Institute of Technology Roorkee, Uttarakhand, India;2. Department of Mechanical Engineering, Indian Institute of Technology Patna, Bihar, India |
| |
Abstract: | In this paper, meshless element free Galerkin (EFG) method has been extended to obtain the numerical solution of nonlinear, unsteady heat transfer problems with temperature dependent material properties. The thermal conductivity, specific heat and density of the material are assumed to vary linearly with the temperature. Quasi-linearization scheme has been used to obtain the nonlinear solution whereas backward difference method is used for the time integration. The essential boundary conditions have been enforced by Lagrange multiplier technique. The meshless formulation has been presented for a nonlinear 3-D heat transfer problem. In 1-D, the results obtained by EFG method are compared with those obtained by finite element and analytical methods whereas in 2-D and 3-D, the results are compared with those obtained by finite element method. |
| |
Keywords: | |
本文献已被 ScienceDirect 等数据库收录! |
|