Multiscale simulations of porous media flows in flow-based coordinate system
In this paper, we propose a multiscale technique for the simulation of porous media flows in a flow-based coordinate system. A flow-based coordinate system allows us to simplify the scale interaction and derive the upscaled equations for purely hyperbolic transport equations. We discuss the applications of the method to two-phase flows in heterogeneous porous media. For two-phase flow simulations, the use of a flow-based coordinate system requires limited global information, such as the solution of single-phase flow. Numerical results show that one can achieve accurate upscaling results using a flow-based coordinate system.
© Springer 2008. Received: 2 April 2006. Accepted: 10 September 2007. Published online: 6 March 2008. We would like to thank Dr. Victor Ginting for providing us with themultiscale finite volume code. We would like also to thank Dr. Yuguang Chen for providing us with the synthetic channelized permeability fields and the reviewers for their valuable comments. This research is supported by DOE grant DE-FG02-06ER25727. T.Y.H. would like also to acknowledge partial support from the NSF Information Technology Research grant ACI-0204932 and the NSF Focused Research Groups grant DMS-0353838.
Accepted Version - EFEcg08preprint.pdf