Unstructured grid solution approach for the eikonal equation with acoustics in mind

Unstructured grid solution approach for the eikonal equation with acoustics in mind
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DOI:
10.2514/6.2009-374
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发表时间:
2009-01
期刊:
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影响因子:
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通讯作者:
P. Tucker;S. Karabasov
P. Tucker;S. Karabasov
中科院分区:
其他
文献类型:
--
作者:
P. Tucker;S. Karabasov

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介绍了一种易于在非结构网格Navier-Stokes方程求解器中实现的声学程函方程求解方法。这种方法很容易并行化。该方法是测试以下典型的点源的情况下:静态流;亚音速均匀流;超音速均匀流和理想化的射流。然后,作为进一步的验证,声传播的波前通过粘性涡被认为是。对于这些情况下,令人鼓舞的协议被发现与分析数据和高保真数值解的欧拉方程。最后,作为示范案例,使用的方法来研究屏蔽噪声从平面射流被认为是沿着与波传播在一个复杂的三维几何形状。在较低的马赫数(< 0.25),复杂的几何形状,强大的多重网格收敛加速。
An acoustic eikonal equation solution procedure, that is easy to implement in unstructured grid Navier-Stokes equation flow solvers, is outlined. The approach is readily parallelizable. The method is tested for the following canonical point source cases: quiescent flow; subsonic uniform flow; supersonic uniform flow and an idealized jet flow. Then, as further validation, sound propagation of a wave front through a viscous vortex is considered. For these cases, encouraging agreement is found with analytic data and a high-fidelity numerical solution of the Euler equations. Finally, as demonstration cases, the use of the approach to study the shielding of noise from a planar jet is considered along with wave propagation in a complex three-dimensional geometry. At lower Mach numbers ( < 0.25 ), for complex geometries, robust multigrid convergence acceleration is found.