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.

翻译：本文提出了一种适用于二维不可压缩Navier-Stokes方程的质量、能量、涡度及涡量守恒（MEEVC）混合有限元离散格式，作为对[A. Palha and M. Gerritsma, J. Comput. Phys., 2017]原MEEVC方案的替代方法。本方法能够引入无滑移边界条件，并证明了其守恒性质。文中还提供了精确与非精确求积条件下的支持性数值实验。