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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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