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Numerical Treatment of Defective Boundary Conditions for the Navier-Stokes Equations
Formaggia, Luca ; Gerbeau, Jean-Frédéric ; Nobile, Fabio ; Quarteroni, Alfio
HAL, hal-00691930 / Harvested from HAL
Text on HAL
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.
Publié le : 2002-07-05
Classification:  Navier-Stokes equations,  boundary conditions,  finite elements,  Lagrange multipliers,  fractional step methods,  simulation of blood flow,  [MATH.MATH-NA]Mathematics [math]/Numerical Analysis [math.NA] 
@article{hal-00691930,
     author = {Formaggia, Luca and Gerbeau, Jean-Fr\'ed\'eric and Nobile, Fabio and Quarteroni, Alfio},
     title = {Numerical Treatment of Defective Boundary Conditions for the Navier-Stokes Equations},
     journal = {HAL},
     volume = {2002},
     number = {0},
     year = {2002},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00691930}
}

Formaggia, Luca; Gerbeau, Jean-Frédéric; Nobile, Fabio; Quarteroni, Alfio. Numerical Treatment of Defective Boundary Conditions for the Navier-Stokes Equations. HAL, Tome 2002 (2002) no. 0, . http://gdmltest.u-ga.fr/item/hal-00691930/