Matrix free meshless method for transient heat conduction problems
Matrix free meshless method for transient heat conduction problems
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DOI：
10.1016/j.ijheatmasstransfer.2008.11.010
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发表时间：
2009-03
影响因子：
5.2
通讯作者：
Xiaohua Zhang;J. Ouyang;Lin Zhang
中科院分区：
文献类型：
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作者：
Xiaohua Zhang;J. Ouyang;Lin Zhang
本文将无网格伽辽金法（EFGM）用于求解二维非稳态热传导问题。众所周知，大多数无网格法的计算量都比有限元法高。为了克服这一缺点，特别是对于瞬态热传导问题，EFGM中采用了质量集总方法，可以显着降低计算成本。该方法直接施加本质边界条件，简化了求解过程。将EFGM结合质量集中技术的计算结果与有限元法及解析解进行了比较，结果表明，EFGM方法的解与有限元法及解析解吻合较好。
In the paper, the element free Galerkin method (EFGM) is applied to calculate two-dimensional unsteady state heat conduction problems. As is well known, most of the meshless methods have higher computational cost than that of finite element method (FEM). In order to overcome this shortcoming especially for transient heat conduction problems, mass lumping procedure is adopted in EFGM, which can decrease the computational cost evidently. Moreover, this technique which can simplify the solution procedure makes the essential boundary conditions enforced directly. The results obtained by EFGM combining mass lumping technique are compared with those obtained by finite element method as well as analytical solutions, which shows that the solutions of the present method are in good agreement with FEM’s and analytical solutions.