Title

Numerical study of the Navier–Stokes-α deconvolution model with pointwise mass conservation

Document Type

Article

Publication Date

1-1-2017

Publication Title

International Journal of Computer Mathematics

First page number:

1

Last page number:

34

Abstract

This paper presents an efficient, universally stable finite-element scheme for the NSα deconvolution model. Accuracy is enhanced by van Cittert approximate deconvolution, as well as through the choice of pointwise divergence-free discrete spaces. Finite-element analysis is provided, which includes results for stability, well-posedness, and optimal convergence of both velocity and pressure solutions. Finally, several numerical experiments are presented which demonstrate the performance of NSα, as well as illustrate the advantages of pointwise divergence-free finite elements. © 2017 Informa UK Limited, trading as Taylor & Francis Group

Language

english

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