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) identifier identifier

  • Publication Type: Article / Article
  • Volume: 22 Issue: 11
  • Publication Date: 2012
  • Doi Number: 10.1142/s0218202512500339
  • Journal Name: MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Keywords: Navier-Stokes, zeroth-order closure model, finite element method, APPROXIMATING LOCAL AVERAGES, LARGE-EDDY SIMULATION, FLUID VELOCITIES, ERROR
  • Middle East Technical University Affiliated: Yes

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.