Title

A Discontinuous Galerkin Method for the Stolz–Adams Approximate Deconvolution Model for Turbulent Flows

Document Type

Article

Publication Date

1-25-2020

Publication Title

Results in Applied Mathematics

First page number:

1

Last page number:

14

Abstract

We consider the zeroth order model of the family of approximate deconvolution models of Stolz and Adams. We propose and analyze fully discrete schemes using discontinuous finite elements. Optimal error estimates are derived. The dependence of these estimates with respect to the Reynolds number Re is O(ReeRe), which is an improvement with respect to the classical continuous finite element method where the dependence is O(ReeRe3), Layton [1].

Keywords

Differential filter; Large eddy simulations; Discontinuous Galerkin

Disciplines

Mathematics | Physical Sciences and Mathematics

Language

English

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