Journal
Scientific and Technical Journal of Information Technologies, Mechanics and Optics
UDK
Issue:1 (113)
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APPLICATION OF SCHEME WITH CUSTOMIZABLE DISSIPATIVE PROPERTIES FOR GAS FLOW CALCULATION WITH INTERFACE INSTABILITY EVOLUTION
Annotation
We have performed testing of the scheme with customizable dissipative properties as applied to problems for complicated gas flow structure with the evolution of interface instability.The scheme is implemented by the splitting into two phases. The first one uses the central differences of both deformation and gradient terms of the Euler equations with artificial viscosity TVD limiters. TVD type reconstructions for convective terms with flux limiters are used in the second phase. A two-order TVD Runge-Kutta algorithm is applied to march the solution in time. We address the issue of numerical resolution and efficiency of the proposed scheme in comparison with some high resolution schemes through numerical examples: the implosion problem, the explosion problem and the double Mach reflection problem. The scheme with customizable dissipative properties in terms of cost (cost of machine time) – quality (resolution) is at the level of modern high order schemes. For some numerical examples, the proposed scheme is superior. The scheme can be recommended for numerical studies of both complex shock wave and vortex flows with the evolution of interface instability.
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