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改进最小二乘法的非结构网格梯度重构算法 被引量:1
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作者 肖艺 明平剑 《哈尔滨工程大学学报》 EI CAS CSCD 北大核心 2020年第12期1819-1826,共8页
为了解决格心型有限体积法中,传统的加权最小二乘法(WLSQ)在大长宽比弯曲三角形/四边形网格存在较大梯度重构误差问题,本文研究了非结构化网格梯度重构方法。针对边界单元,在格林-高斯权重最小二乘法WLSQ(G)基础上采用共点型计算模板的... 为了解决格心型有限体积法中,传统的加权最小二乘法(WLSQ)在大长宽比弯曲三角形/四边形网格存在较大梯度重构误差问题,本文研究了非结构化网格梯度重构方法。针对边界单元,在格林-高斯权重最小二乘法WLSQ(G)基础上采用共点型计算模板的距离反比加权的最小二乘法重构边界单元梯度,提出了BWLSQ(G)法。在自主开发的多物理场耦合软件GTEA基础上,完成二维圆环域稳态导热算例和大长宽比弯曲四边形/三角形网格测试。结果表明:提出的BWLSQ(G)有效提高了WLSQ(G)的计算效率,减小了边界单元梯度重构误差,达到一阶收敛精度。 展开更多
关键词 格心型有限体积 梯度重构 最小二乘 格林-高斯法 大长宽比弯曲网格 GTEA软件 非结构网格
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The research on the highly efficient calculation method of 3-D frequency-domain Green function 被引量:1
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作者 姚熊亮 孙士丽 +1 位作者 王诗平 杨树涛 《Journal of Marine Science and Application》 2009年第3期196-203,共8页
The traditional calculation method of frequency-domain Green function mainly utilizes series or asymptotic expansion to carry out numerical approximation, however, this method requires very careful zoning, thus the co... The traditional calculation method of frequency-domain Green function mainly utilizes series or asymptotic expansion to carry out numerical approximation, however, this method requires very careful zoning, thus the computing process is complex with many cycles, which has greatly affected the computing efficiency. To improve the computing efficiency, this paper introduces Gaussian integral to the numerical calculation of the frequency-domain Green function and its partial derivatives. It then compares the calculation result with that in existing references. The comparison results demonstrate that, on the basis of its sufficient accuracy, the method has greatly simplified the computing process, reduced the zoning and improved the computing efficiency. 展开更多
关键词 frequency-domain Green function numerical approximation Gaussian integral
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