Gas-kinetic Bgk Method for Three-dimensional Compressible Flows

Gas-kinetic BGK scheme with symmetric limited positive (SLIP) method, which was developed by Xu and Jameson, is modified and extended to three-dimensional compressible flows for the first time. BGK scheme is an approximate Riemann solver that uses collisional Boltzmann equation as the governing equation for flow evolutions. To demonstrate the robustness and accuracy of the scheme, it is applied to some typical shock flows ranging from 1D to 3D, and the computational results are compared with the exact results or experimental results. The simplified steady state BGK method is used as the flux solver of Jameson’s multi-grid, time-stepping FLO87 computer program for wing calculations. The results show that Gas-kinetic BGK scheme is an excellent shock-capturing method for subsonic and supersonic flows.