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Solution of three-dimensional multiple scattering problems by the method of difference potentials
Wave Motion ( IF 2.4 ) Pub Date : 2021-08-30 , DOI: 10.1016/j.wavemoti.2021.102822
M. Medvinsky 1 , S. Tsynkov 1 , E. Turkel 2
Affiliation  

We propose an algorithm based on the Method of Difference Potentials (MDP) for the numerical solution of multiple scattering problems in three space dimensions. The propagation of waves is assumed time-harmonic and governed by the Helmholtz equation. The latter is approximated with 6th order accuracy on a Cartesian grid by means of a compact finite difference scheme. The shape of the scatterers does not have to conform to the discretization grid, yet the MDP enables the approximation with no loss of accuracy. At the artificial outer boundary, which is spherical, the solution is terminated by a 6th order Bayliss–Gunzburger–Turkel (BGT) radiation boundary condition. The method enables efficient solution of a series of similar problems, for example, when the incident field changes while everything else stays the same, or when the type of the scattering changes (e.g., sound-soft vs. sound-hard) while the shape of the scatterer remains the same.



中文翻译:

差电位法求解三维多次散射问题

我们提出了一种基于差分电势法 (MDP) 的算法,用于在三个空间维度上对多次散射问题进行数值求解。假设波的传播是时谐的,并由亥姆霍兹方程控制。后者通过紧凑的有限差分方案在笛卡尔网格上以 6 阶精度近似。散射体的形状不必符合离散化网格,但 MDP 可以在不损失精度的情况下进行近似。在球形的人造外边界处,解以 6 阶 Bayliss-Gunzburger-Turkel (BGT) 辐射边界条件终止。该方法可以有效解决一系列类似问题,例如,当事件场发生变化而其他一切保持不变时,

更新日期:2021-09-06
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