A High-Order Godunov Method for Multiple Condensed Phases
A High-Order Godunov Method for Multiple Condensed Phases
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DOI：
10.1006/jcph.1996.0200
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发表时间：
1996-10
影响因子：
4.1
通讯作者：
G. Miller;E. Puckett
中科院分区：
文献类型：
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作者：
G. Miller;E. Puckett
这项工作提出了一种非线性自适应非反射边界条件（NRBC），与经典的局部 NRBC 相比，它进一步减少了波主导问题数值模拟中远场的波反射误差。即使问题本身是线性的（如二维波动方程的情况），非线性过程也可以显着提高 NRBC 的精度。事实上，可以通过向差分方程的系数添加适当的权重来修改 Engquist 和 Majda 的一阶和二阶 NRBC。权重以完全吸收的角度与出射波方向局部一致的方式自适应地确定。理论反射系数和数值实验表明，通过应用本自适应算法，可以大大减少由波反射引起的数值误差。
Presented in this work is a nonlinear adaptive nonreflecting boundary condition (NRBC) that, when compared with classical local NRBCs, further reduces the wave reflection error at far fields in the numerical simulation of wave dominated problems. A nonlinear procedure can considerably improve the accuracy of NRBCs even if the problem itself is linear as in the case of the 2D wave equation. In fact the first- and second-order NRBCs of Engquist and Majda can be modified by adding proper weights to the coefficients of the difference equations. The weights are adaptively determined in such a way that the angle of complete absorption is locally coincident with the outgoing wave direction. The theoretical reflection coefficients and the numerical experiments show that a considerable reduction of the numerical error due to wave reflections is achieved by applying the present adaptive algorithm.