Four typical examples were numerically simulated to investigate the validity of HLLC Riemann solver in the application of supersonic and hypersonic combustion.Based on the perfect Navier-Stokes equations of multi-component equations,the convection fluxes was calculated by the HLLC scheme,while two-stage Runge-Kutta iterative method was used for time discretization.The detailed chemical reaction of H2/Air was considered,and the finite-rate chemical-reaction model was applied to simulate the combustion.Sod shock-tube problems and hypersonic flow around blunt body were numerically simulated,and the flow-field density,pressure and shock-wave position were analyzed.The supersonic combustion and the combustion induced by hypersonic-blunt-body shock-wave were simulated,and the composition characteristics of flow field was analyzed.The numerical simulation results are in good agreement with the experimental results or the related literature.By the HLLC Riemann solver,the complex physical phenomena can be accurately analyzed,and the solver has wide application range in complex chemical non-equilibrium flow-field.
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