The results of a mimetic finite difference discretization of the three-dimensional, incompressible Navier–Stokes equations are compared with more traditional finite difference schemes. The proposed method handles both momentum advection and diffusion in a vorticity-preserving manner and allows for simple treatment of rigid wall boundary conditions. The results obtained in various tests demonstrate the advantages of the proposed method.

A mimetic finite difference discretization for the incompressible Navier-Stokes equations

ABBA', ANTONELLA;BONAVENTURA, LUCA
2008-01-01

Abstract

The results of a mimetic finite difference discretization of the three-dimensional, incompressible Navier–Stokes equations are compared with more traditional finite difference schemes. The proposed method handles both momentum advection and diffusion in a vorticity-preserving manner and allows for simple treatment of rigid wall boundary conditions. The results obtained in various tests demonstrate the advantages of the proposed method.
2008
Navier-Stokes equations; incompressible flow; turbulence simulations; mimetic discretizations; computational fluid dynamics
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11311/528477
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