Application of Wave-Propagation Algorithm to Two-Dimensional Thermoelastic Wave Propagation in Inhomogeneous Media

Abstract

The system of equations for thermoelastic wave propagation in an inho-mogeneous medium is not in the conservation form. Nevertheless, a modification of the wave propagation algorithm for conservation laws is successfully used for the numerical simulation. The modification is made in two ways. First, the algorithm is represented in terms of contact quantities to provide the satisfaction of the thermodynamic consistency conditions between adjacent cells. As usual, the finite volume Godunov scheme is improved by introducing correction terms to obtain high resolution results. Secondly, a composite scheme is obtained by application of the Godunov step after each three second-order Lax-Wendroff steps. The multidimensional motion is accomplished by including into consideration the transverse fluctuations. At last, the elimination of source terms is made following the method of balancing source terms after independent solution of the heat conduction equation. Results of computation for certain test problems show the efficiency and physical consistency of the algorithm.