Multi-size-mesh multi-time-step dispersion-relation-preserving scheme for multiple-scales aeroacoustics problems
Multi-size-mesh multi-time-step dispersion-relation-preserving scheme for multiple-scales aeroacoustics problems
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DOI：
10.1080/1061856031000104860
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发表时间：
2003-04-01
影响因子：
1.3
通讯作者：
Kurbatskii, KA
中科院分区：
文献类型：
--
作者：
Tam, CKW;Kurbatskii, KA
对优化后的高阶色散关系保持差分格式进行了推广，使其能够有效地计算多尺度气动声学问题。建议在计算中使用多尺寸网格。在实现时间推进方案时，首先将计算域划分为多个子域。在每个子域中，使用单一尺寸的网格。相邻子域的网格尺寸以2的因子变化。相邻子域的时间步长也以相同的比例变化。这种选择不仅可以保持数值稳定性，而且可以避免在大尺寸网格区域进行不必要的计算。为了在子域之间传递信息，在子域接口区域使用特殊优化的扩展。由于快速变化发生在网格尺寸变化界面，它们很可能是虚假数值波的来源。为了防止虚假数值波的产生和传播，特殊的人工选择性阻尼项被开发用于包含在离散化方案中。作为一个例子，它的多尺寸网格多时间步长格式的有效性，它被应用于汽车门腔音问题的模拟。计算的音调频率与实验测量结果吻合良好。
The optimized high-order Dispersion-Relation-Preserving finite difference scheme is extended so as to be able to compute multiple-scales aeroacoustics problems effectively and efficiently. It is proposed that a multi-size-mesh is used in the computation. In implementing the time marching scheme, the computation domain is first partitioned into a number of subdomains. In each subdomain, a single size mesh is used. The mesh size of adjacent subdomain changes by a factor of two. The time step of adjacent subdomains also changes by the same ratio. This choice serves not only to maintain numerical stability but also to avoid unnecessary computations in regions with large size mesh. To pass information between subdomains, special optimized stencils are used at the subdomain interface region. Because rapid changes take place at the mesh-size-change interfaces, they are likely sources of spurious numerical waves. To prevent the generation and spreading of spurious numerical waves, special artificial selective damping terms are developed for inclusion in the discretized scheme. As an illustration of the efficacy of the multi-size-mesh multi-time-step scheme, it is applied to the simulation of an automobile door cavity tone problem. The computed tone frequencies are found to agree well with experimental measurements.