A MEEVC discretization for two-dimensional incompressible Navier-Stokes equations with general boundary conditions
Yi Zhang (Guilin University of Electronic Technology)
A. Palha (TU Delft - Numerical Analysis)
M.I. Gerritsma (TU Delft - Aerodynamics)
Qinghe Yao (Sun Yat-sen University)
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Abstract
In this work, we present 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 (2017) [5]. The present method can incorporate general boundary conditions. Conservation properties are proven. Supportive numerical experiments with both exact and inexact quadrature are provided.