CONVERGENCE ANALYSIS OF THE FINITE ELEMENT METHOD FOR A FUNDAMENTAL MODEL IN TURBULENCE


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KAYA MERDAN S., C C M.

MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES, vol.22, no.11, 2012 (SCI-Expanded, Scopus) identifier identifier

Abstract

This report is concerned with the question of computing accurate approximations to the motion of large structures in turbulent flows. We choose a fundamental closure model used in Large Eddy Simulation and investigate how a simple finite element method can be used to compute discrete solutions. We determine that both stability and accuracy of the discretization depend strongly on how filtering is performed. A numerical example is provided that supports our theoretical findings.