On Large Eddy Simulation and Variational Multiscale Methods in the numerical simulation of turbulent incompressible flows. (English) Zbl 1164.76348

Summary: Numerical simulation of turbulent flows is one of the great challenges in Computational Fluid Dynamics  (CFD). In general, Direct Numerical Simulation  (DNS) is not feasible due to limited computer resources (performance and memory), and the use of a turbulence model becomes necessary. The paper will discuss several aspects of two approaches of turbulent modeling—Large Eddy Simulation (LES) and Variational Multiscale (VMS) models. Topics which will be addressed are the detailed derivation of these models, the analysis of commutation errors in LES models as well as other results from mathematical analysis.


76F65 Direct numerical and large eddy simulation of turbulence
76F02 Fundamentals of turbulence
65M06 Finite difference methods for initial value and initial-boundary value problems involving PDEs
Full Text: DOI EuDML


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