Abstract
The equations for gas dynamic parameters (density, velocity, temperature) may be contained after averaging on molecular-velocity discrete model for distribution function with summatory invariants. Kinetical-consistent finite difference schemes (k.c.f.d.s.) are very convenient for adaptation on massive parallel computer systems with distributed-memory architecture. This chapter illustrates the application of k.c.f.d.s. for the simulation of gas dynamic flow on parallel computer systems. The homogeneous schemes, a type of algorithm, describe the viscous and inviscous parts of the flow. Attention is focused on two main areas. The first involves the use of k.c.f.d.s. for the simulation of supersonic regimes near a body oscillating with high frequency. The second is devoted to the approximation of k.c.f.d.s. on unstructured meshes and their parallel version. K.c.f.d. schemes can be efficiently adapted on the architecture of massive parallel computers system. They can be used for the simulation of complex gas-dynamic problems in viscous compressible flows. The schemes are very convenient for adaptation on massive parallel computer systems with distributed-memory architecture because of their homogeneous properties.
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