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

Yi Zhang; Artur Palha; Marc Gerritsma; Qinghe  Yao

doi:10.1016/j.jcp.2024.113080

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

Yi Zhang^*, Artur Palha, Marc Gerritsma, Qinghe Yao

^*Corresponding author for this work

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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.

Original language	English
Article number	113080
Number of pages	14
Journal	Journal of Computational Physics
Volume	510
DOIs	https://doi.org/10.1016/j.jcp.2024.113080
Publication status	Published - 2024

Bibliographical note

Green Open Access added to TU Delft Institutional Repository 'You share, we take care!' - Taverne project https://www.openaccess.nl/en/you-share-we-take-care
Otherwise as indicated in the copyright section: the publisher is the copyright holder of this work and the author uses the Dutch legislation to make this work public.

Keywords

Navier-Stokes equations
de Rham complex
structure-preserving discretization
no-slip boundary condition

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10.1016/j.jcp.2024.113080

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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.",

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doi = "10.1016/j.jcp.2024.113080",

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T1 - A MEEVC discretization for two-dimensional incompressible Navier-Stokes equations with general boundary conditions

AU - Zhang, Yi

AU - Palha, Artur

AU - Gerritsma, Marc

AU - Yao, Qinghe

N1 - Green Open Access added to TU Delft Institutional Repository 'You share, we take care!' - Taverne project https://www.openaccess.nl/en/you-share-we-take-care Otherwise as indicated in the copyright section: the publisher is the copyright holder of this work and the author uses the Dutch legislation to make this work public.

PY - 2024

Y1 - 2024

N2 - 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.

AB - 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.

KW - Navier-Stokes equations

KW - de Rham complex

KW - structure-preserving discretization

KW - no-slip boundary condition

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DO - 10.1016/j.jcp.2024.113080

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VL - 510

JO - Journal of Computational Physics

JF - Journal of Computational Physics

M1 - 113080

ER -

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

Abstract

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