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Simulation of Thermoelastic Wave Propagation by Means of a Composite Wave-Propagation Algorithm

✍ Scribed by A. Berezovski; G.A. Maugin


Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
343 KB
Volume
168
Category
Article
ISSN
0021-9991

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✦ Synopsis


A modification of the wave-propagation algorithm is used as a tool for determining contact quantities in a finite-volume scheme for the numerical simulation of two-dimensional thermoelastic wave propagation in inhomogeneous media. The modification is needed to provide the satisfaction of the thermodynamic consistency conditions between adjacent elements. It appears that the algorithm is thermodynamically consistent except for the limiter functions. Therefore, a composite scheme is used where the Godunov step is applied after each three second-order Lax-Wendroff steps. Elimination of source terms is made following the method of balancing source terms after independent solution of the heat conduction equation.


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The present paper makes use of a wave equation formulation of the primitive shallow water equations to simulate one-dimensional free surface flow. A numerical formulation of the boundary element method is then developed to solve the wave continuity equation using a time-dependent fundamental solutio