有限体积法
有限元法
层流
投影(关系代数)
交叉口(航空)
网格
投影法
解算器
数学
流量(数学)
规则网格
圆柱
计算
声学
几何学
算法
数学优化
物理
机械
Dykstra投影算法
工程类
热力学
航空航天工程
作者
Alberto Artoni,Paola F. Antonietti,Ilario Mazzieri,Nicola Parolini,Daniele Rocchi
标识
DOI:10.1016/j.camwa.2023.12.004
摘要
We propose a hybrid Finite Volume (FV) - Spectral Element Method (SEM) for modeling aeroacoustic phenomena based on the Lighthill's acoustic analogy. First the fluid solution is computed employing a FV method. Then, the sound source term is projected onto the acoustic grid and the inhomogeneous Lighthill's wave equation is solved employing the SEM. The novel projection method computes offline the intersections between the acoustic and the fluid grids in order to preserve the accuracy. The proposed intersection algorithm is shown to be robust, scalable and able to efficiently compute the geometric intersection of arbitrary polyhedral elements. We then analyze the properties of the projection error, showing that if the fluid grid is fine enough we are able to exploit the accuracy of the acoustic solver and we numerically assess the obtained theoretical estimates. Finally, we address two relevant aeroacoustic benchmarks, namely the corotating vortex pair and the noise induced by a laminar flow around a squared cylinder, to demonstrate in practice the effectiveness of the projection method when dealing with high order solvers. The flow computations are performed with OpenFOAM [50], an open-source finite volume library, while the inhomogeneous Lighthill's wave equation is solved with SPEED [34], an open-source spectral element library.
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