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

Multiscale simulations of porous media flows in flow-based coordinate

In this paper, we propose a multiscale technique for simulation of porous media flows in a flow-based coordinate system. 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 twophase flow simulations, the use of flow based coordinate system requires a limited global information, such as the solution of single-phase flow. Numerical results show that one can achieve accurate upscaling results using flow-based coordinate system. 1. Introduction. Th