Implicit Large Eddy Simulation of non-wall-bounded turbulent flows based on the multiscale properties of a high-order finite volume method

In this paper it is presented the application of a higher-order finite volume method based on Moving Least Squares approximations (FV-MLS) to the resolution of non-wall-bounded compressible turbulent flows. Our approach is based on the monotonically implicit Large Eddy Simulation (MILES). The main idea of MILES methodology is the absence of any explicit subgrid scale (SGS) model in the numerical algorithm to solve turbulent flows. In the case of the FV-MLS method, we take advantage of the multiresolution properties of Moving Least Squares Approximations, and we show that they can be used as an implicit SGS model. The numerical results are encouraging. The third-order FV-MLS method is able to reproduce the inertial subrange, and it obtains better results than other usual numerical schemes in LES computations, such as the MUSCL scheme. We note that in the present state of this research, the numerical method is not yet suited for wall-bounded flows. This paper is the first step in the application of the FV-MLS method to general turbulent flows.