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首页> 外文期刊>Journal of Computational Physics >Analysis and optimization of numerical sponge layers as a nonreflective boundary treatment
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Analysis and optimization of numerical sponge layers as a nonreflective boundary treatment

机译：数值海绵层的分析和优化作为非反射边界处理

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摘要

The aim of this work is to provide practical guidelines for designing sponge layers considering applications in computational fluid dynamics and computational aeroacoustics. We present the analysis of sponge/flow interactions and provide a characterization of its basic reflectivity mechanisms. While sponges are perfect absorbers in one-dimensional systems, they can cause their own reflection when encountering oblique sound or oblique vorticity waves. To minimize this adverse effect, sponge strength and profile need to be selected optimally. Also for a fixed desired accuracy, sponge length should be above a minimum threshold. Our analysis quantifies these requirements for a wide range of conditions in terms of inflow/outflow Mach number, incident frequencies, incident angles, and desired accuracy, and covers main concerns with sponges such as sound/sponge interactions and vortex/sponge interactions. As a test case, we present a nonlinear Euler calculation of a convecting vortex interacting with sponges with different lengths. We show that sponges designed by our guidelines achieve accuracies comparable to perfectly matched layers for the same cost, over moderate to high accuracy demands. The results of the presented analysis can be used to determine sponge requirements for a wide range of CFD applications. A summary of these guidelines are listed in the paper.
机译：这项工作的目的是为考虑在计算流体动力学和计算航空声学中的应用提供设计海绵层的实用指南。我们介绍了海绵/流相互作用的分析，并提供了其基本反射率机制的表征。虽然海绵是一维系统中的理想吸收体，但是当遇到倾斜的声音或倾斜的涡旋波时，海绵会引起自身反射。为了最大程度地减少这种不利影响，需要最佳选择海绵强度和轮廓。同样，对于固定的所需精度，海绵长度应高于最小阈值。我们的分析在流入/流出马赫数，入射频率，入射角和所需精度方面对各种条件下的这些要求进行了量化，并涵盖了海绵的主要问题，例如声音/海绵相互作用和涡旋/海绵相互作用。作为测试案例，我们提出了对流涡旋与不同长度的海绵相互作用的非线性欧拉计算。我们证明，根据我们的指南设计的海绵，在中等到高精度的要求下，以相同的成本可获得与完美匹配的层相当的精度。提出的分析结果可用于确定各种CFD应用的海绵要求。本文中列出了这些准则的摘要。

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