Local absorbing boundary conditions for elliptical shaped boundaries

Medvinsky M; Turkel E; Hetmaniuk U

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Local absorbing boundary conditions for elliptical shaped boundaries

机译：椭圆形边界的局部吸收边界条件

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We compare several local absorbing boundary conditions for solving the Helmholtz equation, by a finite difference or finite element method, exterior to a general scatterer. These boundary conditions are imposed on an artificial elliptical or prolate spheroid outer surface. In order to compare the computational solution with an analytical solution, we consider, as an example, scattering about an ellipse. We solve the Helmholtz equation with both finite differences and finite elements. We also introduce a new boundary condition for ail ellipse based on a modal expansion. (c) 2008 Elsevier Inc. All rights reserved.

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《Journal of Computational Physics》 |2008年第18期|共14页
作者
Medvinsky M; Turkel E; Hetmaniuk U;
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正文语种 eng
中图分类应用物理学;
关键词
Helmholtz equation; absorbing boundary conditions; Mathieu functions; SURFACE RADIATION CONDITION; CONVEX ARTIFICIAL BOUNDARIES; FINITE-ELEMENT SOLUTION; ACOUSTIC SCATTERING; UNBOUNDED-DOMAINS; WAVE-EQUATION; HELMHOLTZ-EQUATION; INFINITE ELEMENT; PERFORMANCE; COMPUTATION;

机译：Helmholtz方程;吸收边界条件;Mathieu函数;表面辐射条件;凸人工边界;有限元解决方案;声散射;无界域;波方程;HELMHOLTZ方程;无限元;性能;计算;

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Local absorbing boundary conditions for elliptical shaped boundaries

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