A model for the reduction of the turbulent energy redistribution by compressibility

Compressibility may strongly reduce the redistribution of turbulent kinetic energy. The question of how such effects can be taken into account in turbulence models is addressed here. First, a corresponding stochastic turbulence model is developed on the basis of a simplification of the generalized Langevin model for turbulent velocities. This model is then reduced to a deterministic model that extends existing methods by the consideration of structural compressibility effects. Combined with stochastic models for scalars, these velocity models may be used for compressible turbulent reacting flow simulations where the consideration of chemical reactions does not require approximations. © 2003 American Institute of Physics. DOI: 10.1063/1.1613652