@Article{IJNAMB-2-355,
author = {},
title = {A Numerical Study for a Velocity-Vorticity-Helicity Formulation of the 3D Time-Dependent Nse},
journal = {International Journal of Numerical Analysis Modeling Series B},
year = {2011},
volume = {2},
number = {4},
pages = {355--368},
abstract = {We study a finite element method for the 3D Navier-Stokes equations in velocity-vorticity-helicity formulation, which solves directly for velocity, vorticity, Bernoulli pressure and
helical density. Moreover, the algorithm strongly enforces solenoidal constraints on both the velocity 
(to enforce the physical law for conservation of mass) and vorticity (to enforce the mathematical
law that div(curl)= 0). We prove unconditional stability of the velocity, and with the use of a
(consistent) penalty term on the difference between the computed vorticity and curl of the computed 
velocity, we are also able to prove unconditional stability of the vorticity in a weaker norm.
Numerical experiments are given that confirm expected convergence rates, and test the method
on a benchmark problem.},
issn = {},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/ijnamb/317.html}
}