Year: 2011
Author: M. A. Case, V. J. Ervin, A. Linke, L. G. Rebholz, N. E. Wilson
International Journal of Numerical Analysis and Modeling, Vol. 8 (2011), Iss. 1 : pp. 118–136
Abstract
We study extensions of the energy and helicity preserving scheme for the 3D Navier-Stokes equations, developed in [23], to a more general class of problems. The scheme is studied together with stabilizations of grad-div type in order to mitigate the effect of the Bernoulli pressure error on the velocity error. We prove stability, convergence, discuss conservation properties, and present numerical experiments that demonstrate the advantages of the scheme.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2011-IJNAM-677
International Journal of Numerical Analysis and Modeling, Vol. 8 (2011), Iss. 1 : pp. 118–136
Published online: 2011-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 19
Keywords: Finite element method discrete helicity conservation grad-div stabilization.