AN EXPLICIT METHOD FOR NUMERICAL SIMULATION OF WAVE EQUATIONS
A method to develop a hierarchy of explicit recursion formulas for numerical simulation in irregular grids for scalar wave equations is presented and then is used to construct the formulas for the one-dimensional case in this paper. Numerical simulation of the one-dimensional scalar wave equation in a regular grid is discussed for understanding its accuracy and stability, and an approach is then proposed to construct the stable formulas which are of 2M-order of accuracy both in time and space with M being a positive integer and the recursion formulas of the second order (M=1) and the fourth order (M=2) are given as an example. Theoretical results of the method are demonstrated by a series of numerical tests.
wave equation numerical simulation explicit recursion formula finite element method (FEM)
Liu Heng Liao Zhenpeng
Dept. of Structural Engineering, Institute of Engineering Mechanics, Harbin,China Dept. of Shipbuilding and Ocean Engineering, University of Engineering, Harbin. China
国际会议
14th World Conference on Earthquake Engineering(第十四届国际地震工程会议)
北京
英文
2008-10-12（万方平台首次上网日期，不代表论文的发表时间）