Numerical Treatment of Defective Boundary Conditions for the Navier--Stokes Equations
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- 1 January 2002
- journal article
- Published by Society for Industrial & Applied Mathematics (SIAM) in SIAM Journal on Numerical Analysis
- Vol. 40 (1) , 376-401
- https://doi.org/10.1137/s003614290038296x
Abstract
International audienceWe 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 sectionsKeywords
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