A MEEVC discretization for two-dimensional incompressible Navier-Stokes equations with general boundary conditions
Numerical Analysis
2023-07-18 v1 Numerical Analysis
Abstract
In this work, we introduce a mass, energy, enstrophy and vorticity conserving (MEEVC) mixed finite element discretization for two-dimensional incompressible Navier-Stokes equations as an alternative to the original MEEVC scheme proposed in [A. Palha and M. Gerritsma, J. Comput. Phys., 2017]. The present method can incorporate no-slip boundary conditions. Conservation properties are proven. Supportive numerical experiments with both exact and inexact quadrature are provided.
Keywords
Cite
@article{arxiv.2307.08166,
title = {A MEEVC discretization for two-dimensional incompressible Navier-Stokes equations with general boundary conditions},
author = {Yi Zhang and Artur Palha and Marc Gerritsma and Qinghe Yao},
journal= {arXiv preprint arXiv:2307.08166},
year = {2023}
}
Comments
13 pages, 9 figures