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An explicit method for numerical simulation of
wave equations
Liu Heng1 and Liao Zhenpeng1,2
1. Institute of Engineering Mechanics, China Earthquake Administration
,Harbin 150080, China
2. Department of Shipbuilding and Ocean Engineering, University of
Engineering, Harbin 150001, China
Abstract: In this paper, a method to develop a hierarchy of explicit
recursion formulas for numerical simulation in an
irregular grid for scalar wave equations is presented and its accuracy
is illustrated via 2-D and 1-D models. Approaches to
develop the stable formulas which are of 2M-order accuracy in both time
and space with M being a positive integer for regular
grids are discussed and illustrated by constructing the second order (M
= 1) and the fourth order (M = 2) recursion formulas.
Keywords: wave equation; numerical simulation; explicit recursion
formula; finite element method
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