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首页> 外文期刊>Journal of Computational Physics >An immersed interface method for acoustic wave equations with discontinuous coefficients in complex geometries
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An immersed interface method for acoustic wave equations with discontinuous coefficients in complex geometries

机译：复杂几何形状中具有不连续系数的声波方程的浸入式接口方法

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摘要

A new numerical method to solve three-dimensional wave equations in media with arbitrarily-shaped interfaces on a Cartesian grid is proposed. The present method aims to achieve two objectives to simulate wave propagation through realistic geometries: (1) handling wave interaction at the interface with high ratios of acoustic material properties and (2) treating complex geometries involving both smooth and non-smooth interfaces. To achieve the first objective, the present method extends the solution smoothly across the interface in the direction normal to the interface. A cell layer of ghost points on each side of the interface is used to enforce interface conditions, which support not only reflection but also transmission of incident waves. Ghost-point values are determined by applying a local coordinate-transform and a weighted least squares error method, which suppress numerical instabilities. To achieve the second objective, the interface geometry is approximated using an unstructured surface mesh, which does not require analytic information about the interface geometry. Finally, the accuracy and effectiveness of the present method are validated and demonstrated for wave propagation over or through several two-dimensional and three-dimensional obstacles. (C) 2020 Elsevier Inc. All rights reserved.
机译：提出了一种在笛卡尔网格上求解任意形状界面介质中三维波动方程的新方法。本方法旨在实现两个目标来模拟真实几何体中的波传播：（1）处理具有高声学材料特性比率的界面处的波相互作用；（2）处理涉及光滑和非光滑界面的复杂几何体。为了实现第一个目标，本方法沿着垂直于界面的方向在界面上平滑地扩展解。界面两侧的重影点单元层用于强化界面条件，不仅支持反射，还支持入射波的传输。通过应用局部坐标变换和加权最小二乘误差法来确定重影点值，从而抑制数值不稳定性。为了实现第二个目标，使用非结构化曲面网格近似界面几何体，该网格不需要关于界面几何体的解析信息。最后，对波在二维和三维障碍物上的传播进行了验证和验证。（C） 2020爱思唯尔公司版权所有。

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