| 一种新的间断侦测器及其在DGM中的应用 |
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| 引用本文： | 张来平,刘伟,贺立新,邓小刚,张涵信.一种新的间断侦测器及其在DGM中的应用[J].空气动力学学报,2011,29(4). |
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| 作者姓名： | 张来平 刘伟 贺立新 邓小刚 张涵信 |
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| 作者单位： | 1. 中国空气动力研究与发展中心空气动力学国家重点实验室,四川绵阳621000;中国空气动力研究与发展中心,四川绵阳621000
2. 中国空气动力研究与发展中心,四川绵阳,621000 |
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| 基金项目： | 国家重点基础研究发展计划(973)项目(2009CB723802); 国家自然科学基金(11028205,91016011) |
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| 摘 要： | 根据单元交界面左右变量的差别,提出了一种新的间断侦测器构造方法。该间断侦测器的构造原理简单,编程实现容易。针对一维和二维Euler方程,我们将此间断侦测器用于间断Galerkin格式的数值计算中。数值实验表明本文构造的间断侦测器能够准确捕捉到激波的位置,从而只在间断区域引入限制器,在减少计算量、保证光滑区计算精度的同时,提高了激波等强间断的分辨率,能够明显地改善流动精细结构的模拟精度。
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| 关 键 词： | 间断侦测器 间断Galerkin有限元 限制器 |
A shock detection method and applications in DGM for hyperbolic conservation laws on unstructured grids |
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| ZHANG Lai-ping,LIU Wei,HE Li-xin,DENG Xiao-gang,ZHANG Han-Xin.A shock detection method and applications in DGM for hyperbolic conservation laws on unstructured grids[J].Acta Aerodynamica Sinica,2011,29(4). |
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| Authors: | ZHANG Lai-ping LIU Wei HE Li-xin DENG Xiao-gang ZHANG Han-Xin |
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| Institution: | ZHANG Lai-ping1,2,LIU Wei2,HE Li-xin2,DENG Xiao-gang1,ZHANG Han-Xin2(1.State Key Laboratory of Aerodynamics,China Aerodynamics Research and Development Center,Mianyang Sichuan,621000,China,2.China Aerodynamics Research and Development Center,China) |
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| Abstract: | Based on analyzing the difference of variables between the left and the right sides of a grid interface in smooth regions and near shock waves,a shock detection method is presented to detect the 'trouble cells' in discontinuity regions,and applied in the high-order discontinuous Galerkin method to suppress spurious oscillations near discontinuities coupled with proper limiters.Density or entropy at Gauss points is chosen as the indicator.Some typical one-and two-dimensional cases are tested,and the numerica... |
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| Keywords: | shock detection discontinuous Galerkin method limiter |
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