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arXiv · 2307.08166

A MEEVC discretization for two-dimensional incompressible Navier-Stokes equations with general boundary conditions

Yi Zhang·Artur Palha·Marc Gerritsma·Qinghe Yao
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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.

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Yi Zhang, Artur Palha, Marc Gerritsma, Qinghe Yao. 2023-07-16. A MEEVC discretization for two-dimensional incompressible Navier-Stokes equations with general boundary conditions. https://arxiv.org/abs/2307.08166

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