A Kinetic Flux Difference Splitting method for compressible flows

A low diffusive flux difference splitting based kinetic scheme is developed on a discrete velocity Boltzmann equation, with novel three model. While two velocities are used for upwinding, the third utilized to introduce appropriate additional numerical diffusion only in expansion regions, identified using relative entropy (Kullback–Liebler divergence) at cell-interface, along estimation of physical entropy. This strategy provides an interesting alternative fix, which typically needed schemes. Grid-aligned steady discontinuities captured exactly by fixing primary such that equivalence leads zero across discontinuities. Results bench-mark test problems presented inviscid and viscous compressible flows.