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.File in questo prodotto:
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