A three-dimensional explicit sphere function-based gas-kinetic flux solver for simulation of inviscid compressible flows

摘要: Abstract In this work, a truly three-dimensional (3D) flux solver is presented for simulation of inviscid compressible flows. Like the conventional multi-dimensional gas-kinetic scheme, in present local solution 3D Boltzmann equation at cell interface used to evaluate flux. On other hand, different from most existing schemes, which are constructed Maxwellian distribution function, derived simple function defined on spherical surface phase velocity space. As result, explicit expression vector can be simply given. Since surface, simplicity, it termed as sphere hereafter. addition, simulate fluid flow problems with strong shock waves, non-equilibrium part regarded numerical dissipation and involved evaluating interface. The weight controlled by introducing switch ranges 0 1. smooth region, takes value close zero, while around wave, tends one. To validate proposed solver, several transonic, supersonic hypersonic flows simulated. Numerical results showed that provide accurate waves.