An Explicit Method for Numerical Simulation of Wave Equations
Abstract eng: 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.
Contributors:
Conference Title:
Conference Title:
14th World Conference on Earthquake Engineering
Conference Venue:
Bejing (CN)
Conference Dates:
2008-10-12 / 2008-10-17
Rights:
Text je chráněný podle autorského zákona č. 121/2000 Sb.
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Record created 2014-12-05, last modified 2014-12-05