On the Coupling of 3D and 1D Navier-Stokes Equations for Flow Problems in Compliant Vessels
Formaggia, Luca ; Gerbeau, Jean-Frédéric ; Nobile, Fabio ; Quarteroni, Alfio
HAL, hal-00691928 / Harvested from HAL
Text on HAL
For the analysis of flows in compliant vessels, we propose an approach to couple the original 3D equations with a convenient 1D model. This multiscal- e strategy allows for a dramatic reduction of the computational complexity and is suitable for " absorbing " outgoing pressure waves. In particular, it is of utmost interest for the description of blood motion in the arterial system.
Publié le : 2001-07-05
Classification:  Fluid-structure interaction,  Computational fluid dynamics,  Absorbing boundary conditions,  Multi-scale models,  Haemodynamics,  [MATH.MATH-NA]Mathematics [math]/Numerical Analysis [math.NA] 
@article{hal-00691928,
     author = {Formaggia, Luca and Gerbeau, Jean-Fr\'ed\'eric and Nobile, Fabio and Quarteroni, Alfio},
     title = {On the Coupling of 3D and 1D Navier-Stokes Equations for Flow Problems in Compliant Vessels},
     journal = {HAL},
     volume = {2001},
     number = {0},
     year = {2001},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00691928}
}

Formaggia, Luca; Gerbeau, Jean-Frédéric; Nobile, Fabio; Quarteroni, Alfio. On the Coupling of 3D and 1D Navier-Stokes Equations for Flow Problems in Compliant Vessels. HAL, Tome 2001 (2001) no. 0, . http://gdmltest.u-ga.fr/item/hal-00691928/