Meshless Local Petrov-Galerkin Collocation Method for Two-dimensional Heat Conduction Problems
Meshless Local Petrov-Galerkin Collocation Method for Two-dimensional Heat Conduction Problems
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DOI：
10.3970/cmes.2007.022.065
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发表时间：
2007-11
影响因子：
2.4
通讯作者：
Wu Xuehong;S. Shengping;Tao Wenquan
中科院分区：
文献类型：
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作者：
Wu Xuehong;S. Shengping;Tao Wenquan
采用无网格局部Petrov-Galerkin定位法计算非规则区域的二维热传导问题。采用狄拉克函数作为测试函数，避免了局部域积分。该方法可以方便地实现基本边界条件。具有解析解的算例表明，该方法具有较高的精度和效率。通过将本方法与商业CFD软件包FLUENT 6.3中得到的有限体积法（FVM）解进行比较，计算了两个工程实例来验证该方法。结果表明，该方法与FLUENT 6.3具有较好的一致性，具有很高的计算精度。该方法是一种真正意义上的无网格方法，能够更准确地描述不规则区域的边界，并且易于实现
Meshless local Petrov-Galerkin col- location method is applied to compute two- dimensional heat conduction problems in irregu- lar domain. By taking the Dirac's Delta function as the test function, the local domain integration is avoided. The essential boundary conditions can be implemented easily in this method. A case that has analytical solution shows the present method can obtain desired accuracy and efficient. Two cases in engineering are computed to validate the approach by comparing the present method with the finite volume method (FVM) solutions ob- tained from a commercial CFD package FLUENT 6.3. The results show that the present method is in good agreement with the FLUENT 6.3, and has very high computational precision. The proposed method, which is a truly meshless method, can describe the boundaries of irregular domain more accurately, and be very easy to be implemented in