Abstract
In this contribution we present the application of a numerical method based on a mesh free interpolation technique (Moving Least-Squares (MLS)) in a finite volume framework to the computation of 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. As MLS approximations are used to compute the gradients and higher-order derivatives, the parameters of the kernel function plays a crucial role on the properties of the numerical scheme, particularly on the dispersion and dissipation of the method. This allows us to define an implicit filter that acts as a SGS model in turbulence computations. We present the results for the decay of compressible isotropic turbulence, which are very promising, and the our first results computing turbulence flows in presence of walls.
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