| 波动数值模拟的一种显式方法——二维波动 |
| |
| 引用本文： | 刘恒,廖振鹏.波动数值模拟的一种显式方法——二维波动[J].力学学报,2010,42(6):1104. |
| |
| 作者姓名： | 刘恒 廖振鹏 |
| |
| 作者单位： | 1. 清华大学土木工程系;2. 中国地震局工程力学研究所; |
| |
| 基金项目： | 国家重点基础研究发展计划(973计划)，国家自然科学基金重大研究计划 |
| |
| 摘 要： | 将一维波动时域数值模拟的一种显式方法推广到二维,导出了二维非规则网格的节点递推公式.针对均匀正方形网格详细论述了时空精度皆为2M阶(M为正整数)的稳定递推公式的构建方法,并以构建二阶(M=1)和四阶(M=2)公式为例予以说明.最后,通过算例检验了本文研究结果,特别是说明了高阶公式对提高计算效率的价值.
|
| 关 键 词： | 二维波动方程 数值模拟 显式递推公式 有限元 |
| 收稿时间： | 2008-09-24 |
| 修稿时间： | 2010-05-24 |
AN EXPLICIT METHOD FOR NUMERICAL SIMULATION OF WAVE MOTION——2-D WAVE MOTION |
| |
| Liu Heng
,
Liao Zhenpeng.AN EXPLICIT METHOD FOR NUMERICAL SIMULATION OF WAVE MOTION——2-D WAVE MOTION[J].chinese journal of theoretical and applied mechanics,2010,42(6):1104. |
| |
| Authors: | Liu Heng Liao Zhenpeng |
| |
| Institution: | 1. Civil Engineering, Tsinghua University, Beijing 100084, China;2. Institute of Engineering Mechanics, China Earthquake Administration ,Harbin 150080, China; |
| |
| Abstract: | For numerical
simulation of wave motion, this paper generalizes the explicit
method for 1-D wave equation to 2-D case, and develops the
corresponding recursion formulas for an irregular grid for 2-D
wave equations. For uniform quadrate grids, an approach to
construct 2M-order stable formulas is discussed in detail, with
M being a positive integer, which is illustrated by constructing
second-order (M=1) and fourth-order (M=2) formulas. By
numerical tests, the theoretical results presented in the paper
are demonstrated, in which the effect of highly accurate recursion
formulas in improving calculation efficiency is emphasized. |
| |
| Keywords: | finite element method (FEM) |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
| 点击此处可从《力学学报》浏览原始摘要信息 |
| 点击此处可从《力学学报》下载免费的PDF全文 |
|
