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FEATURES OF DIFFERENCE SCHEME WITH CUSTOMIZABLE DISSIPATIVE PROPERTIES IN CASE OF TWO-DIMENSIONAL GAS AND GAS-PARTICLE DYNAMICS PROBLEMS

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Subject of Research.The paper presents testing results of difference scheme with customizable dissipative properties in the case of the two-dimensional problems for both gas dynamics and gas-suspensions mechanics. Method. The second order difference scheme is created with splitting of physical processes into two phases. The first phase uses the central difference, the scalar version of the nonlinear artificial viscosity limiters and semi implicit approximation of the interphase interactions. Reconstructions of TVD type are used at the second phase. Main Results. Testing was performed for problems with strong discontinuities when the shock waves interact with suspended particles. For illustrative test problems, the scheme with customizable dissipative properties has demonstrated a good quality of numerical solutions at the level of the WENO5 scheme with the ability to resolve fine details of the flow in case of multiple interactions of shock waves, contact discontinuities and rarefaction waves. Possible oscillations of the numerical solution in the proposed scheme are suppressed by setting its dissipative properties. Practical Relevance. The scheme with customizable dissipative properties is the basis for the development of applied software package as a justification tool for the attainable level of technical solutions with the use of the gas suspensions flows.         

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