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

机译:平均流动表示对流动声学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:研究了不均匀介质中用于线性波传播问题的不连续Galerkin方法(DGM)的准确性。通过声速不均匀性的线性化欧拉方程(LEE)的线性化欧拉方程(LEE)通过变化的均值表示精度来计算,并与分析解决方案相比。进行参数研究以确定声速表示精度对解决方案准确性的影响的趋势。将平面波的平均值散射与两维的平均旋转,与半分析解决方案进行比较,以可视化平均流量表示精度对近场声学解决方案的影响。为了将计算流体动力学(CFD)数据映射到声网格,概述并验证了允许未解决的流特征的平滑平滑的局部移动最小二乘过程。本地映射过程有效地缩放到大问题大小。

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