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首页> 外文期刊>International Journal of Heat and Mass Transfer >Meshless element free Galerkin method for unsteady nonlinear heat transfer problems
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Meshless element free Galerkin method for unsteady nonlinear heat transfer problems

机译：非网格无网格Galerkin方法求解非稳态非线性传热问题

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摘要

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.
机译：在本文中，无网格无网格Galerkin（EFG）方法已得到扩展，以获得具有温度依赖性材料特性的非线性，非稳态传热问题的数值解。假定材料的热导率，比热和密度随温度线性变化。准线性化方案已用于获得非线性解，而后向差分法用于时间积分。基本边界条件已通过拉格朗日乘数技术实施。已经提出了无网格公式，用于解决非线性3-D传热问题。在1-D中，将通过EFG方法获得的结果与通过有限元和解析方法获得的结果进行比较，而在2-D和3-D中，将结果与通过有限元方法获得的结果进行比较。

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