Meshless method based on the local weak-forms for steady-state heat conduction problems
Meshless method based on the local weak-forms for steady-state heat conduction problems
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DOI：
10.1016/j.ijheatmasstransfer.2007.08.021
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发表时间：
2008-06
影响因子：
5.2
通讯作者：
Xue-Hong Wu;W. Tao
中科院分区：
文献类型：
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作者：
Xue-Hong Wu;W. Tao
本文应用无网格局部Petrov-Galerkin(MLPG)方法计算了二维空间中两个非规则复域的稳态热传导问题。本质边界条件采用变换法，内插格式采用最小二乘法。具有解析解的数值算例表明，该方法能达到预期的精度和效率。计算了两个不规则边界条件下的工程算例，并与商业CFD软件FLUENT 6.3的有限体积法(FVM)解进行了比较，验证了该方法的有效性。结果表明，该方法与有限体积法具有较好的一致性。预计MLPG方法(这是一种真正的无网格方法)在解决不规则区域内的工程热传导问题时具有很好的应用前景。
In this article, the meshless local Petrov–Galerkin (MLPG) method is applied to compute two steady-state heat conduction problems of irregular complex domain in 2D space. The essential boundary condition is enforced by the transformation method, and the MLS method is used for interpolation schemes. A numerical example that has analytical solution shows the present method can obtain desired accuracy and efficiency. Two cases in engineering with irregular boundary are computed to validate the approach by comparing the present method with the finite volume method (FVM) solutions obtained from a commercial CFD package FLUENT 6.3. The results show that the present method is in good agreement with FVM. It is expected that MLPG method (which is a truly meshless) is very promising in solving engineering heat conduction problems within irregular domains.