计算力学学报2017，Vol.34Issue(2)：231-237,7.DOI:10.7511/jslx201702016
基于时间依赖基本解的奇异边界法模拟二维狄利克雷边界标量波方程
Singular boundary method based on time-dependent fundamental solution for 2D Scalar Wave Equation
摘要
Abstract
The singular boundary method(SBM)is a recent boundary-type collocation method with the merits of being meshless,integration-free,mathematically simple,and easy-to-program.This study makes the first attempt to extend the SBM with time-dependent fundamental solution to scalar two-dimensional wave equation.By using the inverse interpolation technique,an empirical formula is proposed to determine the origin intensity factor of the time-dependent SBM for the two-dimensional wave equation with Dirichlet boundary condition.We also introduce a non-singular integral approach to address G singularity of fundamental solution.The numerical experiments demonstrate that the present scheme shows visible advantages in terms of the accuracy and efficiency.关键词
奇异边界法/时间依赖基本解/波方程/边界离散方法/源点强度因子Key words
singular boundary method/time-dependent fundamental solution/wave equation/boundary discretization method/origin intensity factor分类
数理科学引用本文复制引用
陈文,李珺璞,傅卓佳..基于时间依赖基本解的奇异边界法模拟二维狄利克雷边界标量波方程[J].计算力学学报,2017,34(2):231-237,7.基金项目
国家自然科学基金(11372097,11302069) （11372097,11302069）
111计划(B12032) （B12032）
国家杰出青年科学基金(11125208) （11125208）
声场声信息国家重点实验室开放基金(SKLA201509)资助项目. （SKLA201509）
