Grid-optimized upwind DRP finite difference scheme on curvilinear grids for computational aeroacoustics
Grid-optimized upwind DRP finite difference scheme on curvilinear grids for computational aeroacoustics
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用于计算气动声学的曲线网格上的网格优化迎风 DRP 有限差分格式
DOI：
10.1016/j.ast.2010.06.003
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发表时间：
2011-03
影响因子：
5.6
通讯作者：
Chen, Du
中科院分区：
文献类型：
--
作者：
Si, Haiqing;Wang, Tongguang;Chen, Du
基于曲线网格，研究了网格优化迎风保色散差分格式(GOUPDRP)。GOUPDRP有限差分格式可以自动求解波长短得多的波，不需要考虑滤波器或显式耗散项，色散和耗散误差也小得多。近年来，作者在非均匀笛卡尔网格上开发和试验了GOUPDRP格式，也研究了仅在均匀笛卡尔网格上的迎风优化有限格式，然而，气动声学中存在的实际问题通常局限于均匀或非均匀笛卡尔网格，由于计算网格的复杂程度不同，相应的计算网格可以是曲线网格。与均匀笛卡尔网格上的其他优化迎风格式相比，GOUPDRP格式可以很容易地推广到曲线网格。为了确定曲线网格上GOUPDRP格式的优化系数，引入了一个从物理域到计算域的一般曲线变换。文中还详细推导了曲线网格上GOUPDRP格式的相关数学公式。为了验证GOUPDRP格式的有效性，用曲线网格求解了基准问题，并将计算结果与解析解进行了比较。数值结果表明，曲线网格上的GOUPDRP格式在解决实际气动声学问题方面具有较高的效率和较大的潜力。
Based on the curvilinear grids, grid-optimized upwind dispersion-relation-preserving (GOUPDRP) finite difference schemes are studied in the paper. GOUPDRP finite difference schemes can automatically resolve waves with much shorter wavelengths and need not consider the filter or the explicit dissipation terms, and have much smaller dispersive and dissipative errors. Recently, GOUPDRP schemes on the non-uniform Cartesian meshes have been developed and tested by authors of this paper, others optimized upwind finite schemes just only on the uniform Cartesian grids also have been investigated; nevertheless, practical problems existing in aeroacoustics are unusually restricted to the uniform or non-uniform Cartesian grids, the corresponding computational grids could be curvilinear ones owing to the different complex geometries. In contrast to other optimized upwind schemes on the uniform Cartesian grids, GOUPDRP schemes can be easily extended to the curvilinear meshes. In order to determine the optimization coefficients of GOUPDRP schemes on the curvilinear grids, a general curvilinear transformation is introduced from physical domain to computational domain. Mathematic formulations related to GOUPDRP schemes on the curvilinear meshes are also derived in detail in the paper. To demonstrate the effectiveness of GOUPDRP schemes, benchmark problems are solved using the curvilinear grids; calculated solutions are compared with their analytical counterparts. Numerical results show that GOUPDRP schemes on the curvilinear grids are highly efficient and relatively potential to solve practical problems in aeroacoustics.
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影响因子：
2.5
作者：
Zhuang Mei;R. Chen
通讯作者：
Zhuang Mei;R. Chen
影响因子：
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作者：
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影响因子：
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作者：
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DOI：
10.1080/10618560902798079
发表时间：
2009-03
影响因子：
1.3
作者：
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通讯作者：
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影响因子：
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作者：
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通讯作者：
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