Modeling a no-slip flow boundary with an external force field
Journal of Computational Physics
MPDATA: a finite-difference solver for geophysical flows
Journal of Computational Physics
An all-scale anelastic model for geophysical flows: dynamic grid deformation
Journal of Computational Physics
Journal of Computational Physics
Simulations of reactive transport and precipitation with smoothed particle hydrodynamics
Journal of Computational Physics
A Multipoint Flux Mixed Finite Element Method
SIAM Journal on Numerical Analysis
Building resolving large-eddy simulations and comparison with wind tunnel experiments
Journal of Computational Physics
A Brinkman penalization method for compressible flows in complex geometries
Journal of Computational Physics
Iterated upwind schemes for gas dynamics
Journal of Computational Physics
DNS of buoyancy-dominated turbulent flows on a bluff body using the immersed boundary method
Journal of Computational Physics
Journal of Computational Physics
Direct pore-level modeling of incompressible fluid flow in porous media
Journal of Computational Physics
EULAG, a computational model for multiscale flows: An MHD extension
Journal of Computational Physics
Hi-index | 31.46 |
A theoretical formulation and corresponding numerical solutions are presented for microscopic fluid flows in porous media with the domain sufficiently large to reproduce integral Darcy scale effects. Pore space geometry and topology influence flow through media, but the difficulty of observing the configurations of real pore spaces limits understanding of their effects. A rigorous direct numerical simulation (DNS) of percolating flows is a formidable task due to intricacies of internal boundaries of the pore space. Representing the grain size distribution by means of repelling body forces in the equations governing fluid motion greatly simplifies computational efforts. An accurate representation of pore-scale geometry requires that within the solid the repelling forces attenuate flow to stagnation in a short time compared to the characteristic time scale of the pore-scale flow. In the computational model this is achieved by adopting an implicit immersed-boundary method with the attenuation time scale smaller than the time step of an explicit fluid model. A series of numerical simulations of the flow through randomly generated media of different porosities show that computational experiments can be equivalent to physical experiments with the added advantage of nearly complete observability. Besides obtaining macroscopic measures of permeability and tortuosity, numerical experiments can shed light on the effect of the pore space structure on bulk properties of Darcy scale flows.