Grid stabilization of high-order one-sided differencing II: Second-order wave equations

Hagstrom T.; Hagstrom G.

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Grid stabilization of high-order one-sided differencing II: Second-order wave equations

机译：高阶单侧微分的网格稳定性II：二阶波动方程

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We demonstrate the stable boundary closure of difference methods of order up through 16 for the solution of wave equations in second order form. Our method combines the introduction of 1-2 judiciously placed subcell grid points near the boundary with minimal-stencil, one-sided difference operators of the same order as the interior scheme. The method is tested on a variety of problems including the scalar wave equation discretized on mapped grids and overlapping composite grids, as well as an integrable nonlinear system.

机译：对于二阶形式的波动方程，我们证明了高达16阶的差分方法的稳定边界闭合。我们的方法结合了在边界附近引入1-2个明智放置的子单元格网格点以及与内部方案相同顺序的最小模板，单面差分算子。该方法针对各种问题进行了测试，包括在映射网格和重叠复合网格上离散的标量波方程，以及可积分的非线性系统。

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来源
《Journal of Computational Physics》 |2012年第23期|共25页
作者
Hagstrom T.; Hagstrom G.;
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正文语种 eng
中图分类数学物理方法;
关键词
One-sided differencing; Stability; Wave equation;

机译：单面差分;稳定性;波动方程;

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1. Grid stabilization of high-order one-sided differencing II: Second-order wave equations [J] . Hagstrom T., Hagstrom G. Journal of Computational Physics . 2012,第23期

机译：高阶单侧微分的网格稳定性II：二阶波动方程
2. P-and S-wavefield simulations using both the first-and second-order separated wave equations through a high-order staggered grid finite-difference method [J] . Chao-ying Bai, Xin Wang, Cai-xia Wang 地震学报（英文版） . 2013,第002期

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3. High-order upwind schemes for the wave equation on overlapping grids: Maxwell's equations in second-order form [J] . Jordan B. Angel, Jeffrey W. Banks, William D. Henshaw Journal of Computational Physics . 2018,第期

机译：重叠网格上的波浪方程的高阶UPWIND方案：Maxwell的二阶形式方程
4. A Comparison of Second-Order and High-Order of Finite Difference Staggered-Grid Method in 2D P-SV Wave Propagation Modelling using Graphics Processing Unit [C] . Irchan Bani Hasym, Sudarmaji, Sismanto, International Conference on Physics . 2015

机译：使用图形处理单元对2D P-SV波传播建模的二阶和高阶的有限差分交错 - 网格方法的比较
5. High-order finite difference methods for wave equations. [D] . Ghrist, Michelle Lynn. 2000

机译：波动方程的高阶有限差分方法。
6. High-order space-time finite element schemes for acoustic and viscodynamic wave equations with temporal decoupling [O] . H T Banks, Malcolm J Birch, Mark P Brewin, -1

机译：具有时间解耦的声波和粘滞波动方程的高阶时空有限元格式
7. A Comparison of Second-Order and High-Order of Finite Difference Staggered-Grid Method in 2D P-SV Wave Propagation Modelling using Graphics Processing Unit [O] . Irchan Bani Hasym, M. Sudarmaji, M. Sismanto 2014

机译：使用图形处理单元对2D P-SV波传播建模的二阶和高阶的有限差分交错 - 网格方法的比较

Grid stabilization of high-order one-sided differencing II: Second-order wave equations

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