Applications of High-Order Optimized Upwind Schemes for Computational Aeroacoustics
Applications of High-Order Optimized Upwind Schemes for Computational Aeroacoustics
复制标题
DOI：
10.2514/2.1694
复制
发表时间：
2002
期刊：
影响因子：
2.5
通讯作者：
Zhuang Mei;R. Chen
中科院分区：
文献类型：
--
作者：
Zhuang Mei;R. Chen
采用高阶优化迎风色散关系保持有限差分格式求解多维声波传播问题。的准确性和鲁棒性的计划进行了测试的声学问题与各种几何形状和边界条件。数值解和解析解之间的良好一致性表明，高阶优化迎风格式不仅最小化色散误差，而且还耗散误差，同时保持数值稳定性。仿真结果还表明，优化后的迎风格式可以自动抑制虚假短波，而不需要滤波或显式耗散项。验证了高阶优化迎风格式的整体有效性。球的声散射问题的良好的数值结果表明，优化的迎风格式可以用来解决声学问题，涉及到一个相对复杂的几何形状。
High-order optimized upwind dispersion-relation-preserving finite difference schemes are used for solving multidimensional acoustic wave propagation problems. The accuracy and the robustness of the schemes are tested for acoustic problems with various geometry and boundary conditions. Excellent agreements between the numerical and the analytical solutions indicate that the high-order optimized upwind schemes minimize not only the dispersion error but also the dissipation error while retaining the numerical stability. The simulation results have also demonstrated that the optimized upwind schemes damp out the spurious short waves automatically without the need of filter or explicit dissipation terms. The overall effectiveness of the high-order optimized upwind schemes is verified. The good numerical result of the problem of acoustic scattering by a sphere suggests that the optimized upwind schemes may be used to solve acoustic problems involving a relatively complex geometry.