Spurious velocities in the steady flow of an incompressible fluid subjected to external forces
Gerbeau, Jean-Frédéric ; Le Bris, Claude ; Bercovier, Michel
HAL, hal-00690238 / Harvested from HAL
Text on HAL
We show that a non physical velocity may appear in the numerical computation of the flow of an incompressible fluid subjected to external forces. A distorted mesh and the use of a numerical method which does not rigorously ensure the incompressibility condition turn out to be responsible for this phenomenon. We illustrate it with numerical examples and we propose a projection method which improves the results.
Publié le : 1997-07-05
Classification:  Incompressible fluid,  finite element,  spurious velocity,  [MATH.MATH-NA]Mathematics [math]/Numerical Analysis [math.NA] 
@article{hal-00690238,
     author = {Gerbeau, Jean-Fr\'ed\'eric and Le Bris, Claude and Bercovier, Michel},
     title = {Spurious velocities in the steady flow of an incompressible fluid subjected to external forces},
     journal = {HAL},
     volume = {1997},
     number = {0},
     year = {1997},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00690238}
}

Gerbeau, Jean-Frédéric; Le Bris, Claude; Bercovier, Michel. Spurious velocities in the steady flow of an incompressible fluid subjected to external forces. HAL, Tome 1997 (1997) no. 0, . http://gdmltest.u-ga.fr/item/hal-00690238/