dc.contributor.author Song, Pu dc.contributor.author Sun, Shuyu dc.date.accessioned 2015-08-03T10:02:59Z dc.date.available 2015-08-03T10:02:59Z dc.date.issued 2015-06-03 dc.identifier.citation Song, P., & Sun, S. (2012). Contaminant Flow and Transport Simulation in Cracked Porous Media Using Locally Conservative Schemes. Advances in Applied Mathematics and Mechanics, 4(04), 389–421. doi:10.4208/aamm.10-m1108 dc.identifier.issn 20700733 dc.identifier.doi 10.4208/aamm.10-m1108 dc.identifier.uri http://hdl.handle.net/10754/562375 dc.description.abstract The purpose of this paper is to analyze some features of contaminant flow passing through cracked porous medium, such as the influence of fracture network on the advection and diffusion of contaminant species, the impact of adsorption on the overall transport of contaminant wastes. In order to precisely describe the whole process, we firstly build the mathematical model to simulate this problem numerically. Taking into consideration of the characteristics of contaminant flow, we employ two partial differential equations to formulate the whole problem. One is flow equation; the other is reactive transport equation. The first equation is used to describe the total flow of contaminant wastes, which is based on Darcy law. The second one will characterize the adsorption, diffusion and convection behavior of contaminant species, which describes most features of contaminant flow we are interested in. After the construction of numerical model, we apply locally conservative and compatible algorithms to solve this mathematical model. Specifically, we apply Mixed Finite Element (MFE) method to the flow equation and Discontinuous Galerkin (DG) method for the transport equation. MFE has a good convergence rate and numerical accuracy for Darcy velocity. DG is more flexible and can be used to deal with irregular meshes, as well as little numerical diffusion. With these two numerical means, we investigate the sensitivity analysis of different features of contaminant flow in our model, such as diffusion, permeability and fracture density. In particular, we study K d values which represent the distribution of contaminant wastes between the solid and liquid phases. We also make omparisons of two different schemes and discuss the advantages of both methods. © 2012 Global Science Press. dc.publisher Global Science Press dc.subject Discontinuous Galerkin methods dc.subject Flow equation dc.subject Mixed finite element methods dc.subject Reactive transport equation dc.title Contaminant flow and transport simulation in cracked porous media using locally conservative schemes dc.type Article dc.contributor.department Computational Transport Phenomena Lab dc.contributor.department Earth Science and Engineering Program dc.contributor.department Environmental Science and Engineering Program dc.contributor.department Physical Science and Engineering (PSE) Division dc.identifier.journal Advances in Applied Mathematics and Mechanics dc.contributor.institution Department of Mathematical Sciences, Clemson University, Clemson, SC 29634, United States kaust.person Sun, Shuyu dc.date.published-online 2015-06-03 dc.date.published-print 2012-08
﻿