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首页> 外文会议>International Congress and Exhibition on Noise Control Engineering >Grid-Optimized Upwind DRP Finite Difference Scheme on Curvilinear Grids for CAA
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Grid-Optimized Upwind DRP Finite Difference Scheme on Curvilinear Grids for CAA

机译：CAA曲线网格网格优化的UPWIND DRP有限差分方案

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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.
机译：基于曲线电网，在纸上研究了电网优化的逆风分散关系保留（GoupDRP）有限差分方案。 GOUPDRP有限差分方案可以自动解析波长短波长的波，不需要考虑过滤器或显式耗散术语，并具有更小的分散和耗散误差。最近，在非均匀笛卡尔网格上的Goupdrp方案已经开发并由本文的作者开发和测试，其他载体仅在均匀的笛卡尔网格上的优化Unumine有限计划也被调查;然而，空气声学中存在的实际问题异常仅限于均匀或非均匀的笛卡尔栅格，相应的计算网格可能是由于不同的复杂几何形状的曲线。与均匀笛卡尔栅格上的其他优化的UPWIND方案相比，GOUPDRP方案可以很容易地扩展到曲线网格。为了确定曲线网格上的GoupDRP方案的优化系数，将一般的曲线变换从物理域引入计算域。曲线曲线网上的与GoupDRP方案相关的数学制剂也在纸上详细得出。为了证明GoupDRP方案的有效性，使用曲线网格解决了基准问题;将计算的解决方案与其分析对应物进行比较。数值结果表明，曲线电网上的GoupDRP方案是解决空气声学中实际问题的高效且相对可能的潜力。

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