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A mimetic finite difference discretization for the incompressible Navier-Stokes equations.(English)Zbl 1139.76041

Summary: The mimetic finite difference discretization of three-dimensional incompressible Navier-Stokes equations is 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.

MSC:

76M20 Finite difference methods applied to problems in fluid mechanics
76D05 Navier-Stokes equations for incompressible viscous fluids

Cite

References:

[1]Arakawa, Monthly Weather Review 109 pp 18– (1981)
[2]Sadourny, Journal of the Atmospheric Sciences 32 pp 680– (1975)
[3]Bonaventura, Monthly Weather Review 133 pp 2351– (2005)
[4]Perot, Journal of Computational Physics 159 pp 58– (2000) ·Zbl 0972.76068
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[7]Nicolaides, SIAM Journal on Numerical Analysis 29 pp 32– (1992)
[8]Morton, SIAM Journal on Scientific Computing 23 pp 170– (2001)
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This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.
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