Abstract
A Lattice-Boltzmann Method (LBM) coupled with a very large eddy simulation (VLES) turbulence model is presented and applied to solve complex flow problems in high subsonic and transonic regimes. In this method, a high speed LBM scheme for high Mach number flows is applied, a scalar transport equation for entropy is solved for the conservation of energy. Flow turbulence is modeled via an effective turbulent relaxation time scale, in addition, a hybrid wall function is used to model the flow boundary layer effects. The numerical solution is obtained on a Cartesian mesh which can be generated automatically for arbitrary geometries. The LBM-VLES approach is applied to to simulate canonical compressible flow problems where the flow Mach number is high. Numerical results show good comparisons with experimental measurements and analytical solutions, demonstrate that the current approach can be applied to solve high Reynolds number, high compressible, high Mach number, turbulent flow problems in engineering applications.
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