Development of lattice Boltzmann flux solver for simulation of hypersonic flow past flight vehicles

Abstract

A stable Lattice Boltzmann Flux Solver (LBFS) is proposed for simulation of complex hypersonic flows in this paper. In LBFS, the finite volume method is applied to solve the Navier-Stokes equations. One-dimensional Lattice Boltzmann (D1Q4) model is applied to reconstruct the inviscid flux across the cell interface, while the viscous flux is solved by central difference method. A switch function is applied to control the numerical dissipation to enhance computational robustness. Also a local block grid refinement method based on the flow conditions is applied to improve calculation stability. A double ellipse model is studied to validate the accuracy and feasibility of the proposed scheme. Simulation results show that the method presented in this paper is able to calculate hypersonic flow field and the strong shock wave interaction can be well described.