|
This paper studies different discretizations
for a mixed formulation of the Darcy-Forchheimer's
equation.We combine several finite
elements schemes over velocity and
pressure. Specifically, for velocity
we use piecewise-constant and standard
P1 functions, and for pressure Crouzeix-Raviart
and standard P1 elements. Some test
problems were considered to analyze
the behavior of the discretizations
and a comparative study was conducted.
Preliminary results show the reliability
of the proposed discretizations.
References
[1] M. CROUZEIX AND P. A. RAVIART,
Conforming and non-conforming finite
element methods for solving the
stationary Stokes problem, RAIRO
Anal. Numer., Vol. 8, pp. 33-76
(1973).
[2] V. GIRAULT AND M. F. WHEELER,
Numerical Discretization of a Darcy-Forchheimer
model, Numerische Mathematik, Vol.
110(2), pp. 161-198 (2008).
[3] H. LOPEZ, B. MOLINA AND J. J.
SALAS, Comparison between different
numerical discretizations for a
Darcy-Forchheimer model, ETNA, Vol.
34, pp. 187-203 (2009).
|