Numerical Study of the Navier-Stokes-α Deconvolution Model with Pointwise Mass Conservation
International Journal of Computer Mathematics
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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.
Navier-Stokes-α; Finite element; Deconvolution; Error analysis
Numerical Study of the Navier-Stokes-α Deconvolution Model with Pointwise Mass Conservation.
International Journal of Computer Mathematics, 9