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In this work, we present a localized form of the dynamic eddy viscosity modelfor computationally efficient and accurate simulation of the turbulent flowsgoverned by Euler equations. In our framework, we determine the dynamic modelcoefficient locally using the information from neighboring grid points througha test filtering process. We then develop an optimized Gaussian filteringkernel, using a consistent definition with respect to the test filtering ratio,which gives full attenuation at the grid cut-off wave number. A systematica-posteriori analysis of our model is performed by solving two 3D testproblems: (i) incompressible Taylor-Green vortex flow and (ii) compressibleshear layer turbulence induced by Kelvin-Helmholtz instability to show the widerange of applicability of the proposed localized dynamic model. We demonstratethat the proposed dynamic model is robust and provides a better estimation ofthe inertial range turbulence dynamics than other numerical models tested inthis study.

A localized dynamic closure model for Euler turbulence