A locally refined cut-cell method with exact conservation for the incompressible Navier-Stokes equations

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We present a mimetic discretization of the incompressible Navier-Stokes equations for general polygonal meshes. The discretization employs staggered velocity variables and results in discrete equations that exactly conserve mass, momentum and kinetic energy (in the inviscid limit) up to and including the boundaries where Dirichlet conditions apply. Moreover, the discrete equations give rise to a discrete global vorticity that is consistent with the Dirichlet boundary conditions. As the method retains all its favorable properties on general meshes, it can be perfectly applied as a locally refined Cartesian mesh cut-cell method. We numerically verify the conservation properties for the lid-driven cavity flow and demonstrate the method for the unsteady flow around a circular cylinder.

Originele taal-2Engels
TitelProceedings of the 6th European Conference on Computational Mechanics
SubtitelSolids, Structures and Coupled Problems, ECCM 2018 and 7th European Conference on Computational Fluid Dynamics, ECFD 2018
RedacteurenRoger Owen, Rene de Borst, Jason Reese, Chris Pearce
UitgeverijInternational Center for Numerical Methods in Engineering (CIMNE)
Pagina's4087-4098
Aantal pagina's12
ISBN van elektronische versie9788494731167
StatusGepubliceerd - 2020
Evenement6th ECCOMAS European Conference on Computational Mechanics: Solids, Structures and Coupled Problems, ECCM 2018 and 7th ECCOMAS European Conference on Computational Fluid Dynamics, ECFD 2018 - Glasgow, Verenigd Koninkrijk
Duur: 11 jun 201815 jun 2018

Congres

Congres6th ECCOMAS European Conference on Computational Mechanics: Solids, Structures and Coupled Problems, ECCM 2018 and 7th ECCOMAS European Conference on Computational Fluid Dynamics, ECFD 2018
LandVerenigd Koninkrijk
StadGlasgow
Periode11/06/1815/06/18

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Beltman, R., Anthonissen, M., & Koren, B. (2020). A locally refined cut-cell method with exact conservation for the incompressible Navier-Stokes equations. In R. Owen, R. de Borst, J. Reese, & C. Pearce (editors), Proceedings of the 6th European Conference on Computational Mechanics: Solids, Structures and Coupled Problems, ECCM 2018 and 7th European Conference on Computational Fluid Dynamics, ECFD 2018 (blz. 4087-4098). International Center for Numerical Methods in Engineering (CIMNE).