Extending Weighted Compact Nonlinear Schemes to Complex Grids with Characteristic-Based Interface Conditions

Extending Weighted Compact Nonlinear Schemes to Complex Grids with Characteristic-Based Interface Conditions
复制标题

将加权紧凑非线性方案扩展到具有基于特征的接口条件的复杂网格

DOI:
10.2514/1.j050285
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发表时间:
2010-12
期刊:
影响因子:
2.5
通讯作者:
Zhang, Hanxin
Zhang, Hanxin
中科院分区:
工程技术3区
文献类型:
--
作者:
Deng, Xiaogang;Mao, Meiliang;Tu, Guohua;Zhang, Yifeng;Zhang, Hanxin

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There are still some challenges, such as grid quality, numerical stability, and boundary schemes, in the practical application of high-order finite difference schemes for complex configurations. This study presents some improved strategies that indicate potential engineering applications of high-order schemes. The formally fifth-order weighted compact nonlinear scheme developed by the authors is implemented on point-matched multiblock structured grids, which are generated over complex configurations to ensure the grid quality of each component block. The information transmission between neighboring blocks is carried out by new characteristic-based interface conditions that directly exchange the spatial derivatives on each side of an interface by means of a characteristic-based projection to keep the high-order accuracy and high resolution of a spatial difference scheme. The high-order scheme combined with the interface conditions is shown to be asymptotically stable. The engineering-oriented applications of the high-order strategy are demonstrated by solving several two- and three-dimensional problems with complex grid systems.
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