Three-dimensional mixed finite element-finite volume approach for the solution of density-dependent flow in porous media

摘要

The density dependent flow and transport problem in groundwater\udon three dimensional triangulations is solved numerically by\udmeans of a Mixed Hybrid Finite Element scheme for the flow\udequation combined\udwith a Mixed Hybrid Finite Element-Finite Volume (MHFE-FV)\ud time-splitting based technique\udfor the transport equation. This procedure is analyzed and shown to be an\udeffective tool in particular when the process is advection dominated\udor when density variations induce the formation of instabilities\udin the flow field.\udFrom a computational point of view, the most effective strategy\udturns out to be a combination of the MHFE and a\udspatially variable time splitting technique in which the FV scheme\udis given by a second order linear reconstruction based on the least\udsquare minimization and the Barth-Jespersen limiter.\udThe recent saltpool problem introduced as a benchmark test for\uddensity dependent solvers is used to\udverify the accuracy and reliability of this approach.