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

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Date

2012-11-01

Author

Kaya Merdan, Songül

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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.

Subject Keywords

Navier-Stokes, Zeroth-order closure model, Finite element method

URI

https://hdl.handle.net/11511/39315

Journal

MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES

DOI

https://doi.org/10.1142/s0218202512500339

Collections

Department of Mathematics, Article

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Citation Formats

S. Kaya Merdan, “CONVERGENCE ANALYSIS OF THE FINITE ELEMENT METHOD FOR A FUNDAMENTAL MODEL IN TURBULENCE,” MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES, pp. 0–0, 2012, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/39315.