TY - JOUR
T1 - Stable Computing with an Enhanced Physics Based Scheme for the 3D Navier-Stokes Equations
AU - Case , M. A.
AU - Ervin , V. J.
AU - Linke , A.
AU - Rebholz , L. G.
AU - Wilson , N. E.
JO - International Journal of Numerical Analysis and Modeling
VL - 1
SP - 118
EP - 136
PY - 2011
DA - 2011/08
SN - 8
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/ijnam/677.html
KW - Finite element method, discrete helicity conservation, grad-div stabilization.
AB - <p style="text-align: justify;">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.</p>