Dk. Gartling et al., SIMULATION OF COUPLED VISCOUS AND POROUS FLOW PROBLEMS, International journal of computational fluid dynamics, 7(1-2), 1996, pp. 23
Theoretical and numerical formulations are presented for the conjugate
problem involving incompressible flow and flow in a saturated porous
medium. The major focus of the work is the development of a generally
applicable finite element method for the simulation of both fixed inte
rface and evolving porous interface problems. The available alternativ
es for coupling Darcy and non-Darcy models to the Navier-Stokes equati
ons have been studied and evaluated in a mixed finite element framewor
k. Questions regarding convergence of the finite element method for po
rous flow models have been addressed. Numerical experiments on simple
flow geometries have revealed the shortcomings of both the Darcy and B
rinkman models. Application of the more realistic models to practical,
multidimensional, flow studies has also been demonstrated.