ABSTRAKT

An adaptive multiresolution method based on a second order finite volume discretization is presented for solving the three-dimensional compressible Navier−Stokes equations in Cartesian geometry. The explicit time discretization is of second order and for the flux evaluation a 2-4 Mac Cormack scheme is used. Coherent Vortex Simulations (CVS) are performed by decomposing the flow variables into coherent and incoherent contributions. The coherent part is computed deterministically on a locally refined grid using the adaptive multiresolution method, while the influence of the incoherent part is neglected. The computational efficiency of this approach, in terms of memory and CPU time compression, is illustrated for a turbulent mixing layer in the weakly compressible regime. A comparison with direct numerical simulation allows to assess the precision and efficiency of CVS.