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

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.

KEYWORDS:

• Navier-Stokes-α
• finite element
• deconvolution
• error analysis

2010 MSC SUBJECT CLASSIFICATIONS:

• 65N30
• 76D05

Disclosure statement

No potential conflict of interest was reported by the authors.