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Impact of the Mean Flow Representation on DGM Simulations of Flow Acoustics

机译:平均流量表示形式对流动声学DGM模拟的影响

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The accuracy of the discontinuous Galerkin method (DGM) for linear wave propagation problems in inhomogeneous media is investigated. Solutions to the linearized Euler equations (LEE) for one-dimensional wave propagation through a sound speed inhomogeneity, are computed with varying mean sound speed representation accuracy and compared to analytical solutions. A parameter study is performed to identify trends in the impact of the sound speed representation accuracy on the solution accuracy. The scattering of a plane wave by a mean, stationary vortex in two-dimensions is compared with semi-analytical solutions to visualize the effect of a mean flow representation accuracy on the near field acoustic solution. For the mapping of computational fluid dynamics (CFD) data to the acoustic mesh, a local moving least-squares procedure, permitting smoothing of unresolved flow features is outlined and verified. The local mapping procedure efficiently scales to large problem sizes.
机译:研究了非均匀介质中线性波传播问题的不连续Galerkin方法(DGM)的准确性。通过变化的平均声速表示精度计算一维波通过声速不均匀性的线性欧拉方程(LEE)的解,并将其与解析解进行比较。进行参数研究以识别声速表示精度对解决方案精度的影响趋势。将平面波在二维中的平均固定涡流的散射与半解析解进行比较,以可视化表示平均流表示精度对近场声学解的影响。为了将计算流体动力学(CFD)数据映射到声学网格,概述并验证了局部移动最小二乘法,该过程允许对未解决的流量特征进行平滑处理。本地映射过程可以有效地扩展到较大的问题大小。

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