The problem of numerically modeling the contact interaction of a gas-liquid medium described by Tate's equation of state with a deformed solid body is considered. To integrate the two media, the corresponding high-accuracy modifications of Godunov's scheme are used. A correction to the solution of the liquid/elastic body breakage decomposition problem is introduced that makes it possible to reduce the effect of numerical viscosity along the boundary of the solid body. Numerical results demonstrating the stability of the algorithm used are given.
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