Application of the Riemann problem with complex equations of state for modeling three-dimensional flows of real media

Abstract The paper considers the numerical simulation of spatial flows real media in safety valves on basis problem an arbitrary discontinuity breakdown with complex equations state. solution is constructed by means developed method, which a modification classical scheme S. K. Godunov and includes various state matter. Van der Waals were used to model flow gases, Mie-Grüneisen equation was describe weakly compressible fluid. It shown that proposed schemes allow for modeling fluid gas dynamic processes fluids gases shock waves contact discontinuities can be both areas medium behavior non-classical behavior.