Large-eddy simulation of the shock turbulence interaction

The objective of this work is to derive a shock capturing tool able to trea t turbulence with minimum dissipation out of the shock for a large-eddy sim ulation (LES) of the shock/turbulence interaction. The present numerical mo deling of the shock/turbulence interaction consists of a second-order finit e volume central scheme using a skew-symmetric form, a Jameson's type artif icial dissipation, and the filtered structure function model. We focus on t wo areas to build simulations of increased accuracy: A new sensor for trigg ering artificial dissipation is developed to perform LES of the shock/turbu lence interaction. This sensor is simple, local, and does not require any a priori knowledge of the shock position. It is first tested in freely decay ing turbulence for both viscous and inviscid cases and in the inviscid 2D v ortex/shock interaction. It is shown that both shock capturing properties a nd standard LES results in the case of freely decaying turbulence are recov ered. Even though this modified sensor limits dissipation away from the sho ck, it is shown that the dissipation used inside the shock affects turbulen ce when eddies cross the shock region. This effect can be minimized by (1) refining the mesh in the vicinity of the shock or (2) pre-filtering. The re sults obtained by mesh refinement are investigated for the inviscid shock/t urbulence interaction in terms of Reynolds stresses and kinetic energy vari ations accross the shock. A priori testing shows that, with the proposed sc heme and for all meshs considered, the dominant dissipation acting on kinet ic energy is the SGS dissipation away from the shock and both artificial an d SGS dissipation in the shock, the former being larger than the latter. (C ) 1999 Academic Press.