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Numerical Treatment of Defective Boundary Conditions for the Navier-Stokes Equations

Abstract : We present a formulation for accommodating defective boundary conditions for the incompressible Navier-Stokes equations where only averaged values are prescribed on measurable portion of the boundary. In particular we consider the case where the average mass flux is imposed on several domain sections. This methodology has an interesting application in the numerical simulation of flow in blood vessels, when only a reduced set of boundary data are generally available for the upstream and downstream sections.
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https://hal.inria.fr/inria-00072539
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Submitted on : Wednesday, May 24, 2006 - 10:13:45 AM
Last modification on : Thursday, February 3, 2022 - 11:18:44 AM
Long-term archiving on: : Sunday, April 4, 2010 - 11:12:37 PM

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  • HAL Id : inria-00072539, version 1

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Luca Formaggia, Jean-Frédéric Gerbeau, Fabio Nobile, Alfio Quarteroni. Numerical Treatment of Defective Boundary Conditions for the Navier-Stokes Equations. [Research Report] RR-4093, INRIA. 2001. ⟨inria-00072539⟩

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