Numerical Analysis for an Upscaled Model for Dissolution and Precipitation in Porous Media

K. Kumar (), I. S. Pop () and F. A. Radu ()
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K. Kumar: Technische Universiteit Eindhoven, CASA
I. S. Pop: Technische Universiteit Eindhoven, CASA
F. A. Radu: University of Bergen, Institute of Mathematics

A chapter in Numerical Mathematics and Advanced Applications 2011, 2013, pp 703-711 from Springer

Abstract: Abstract In this paper, we discuss some numerical schemes for an upscaled (core scale) model describing the transport, precipitation and dissolution of solutes in a porous medium. We consider two weak formulations, conformal and mixed. We discuss the time discretization in both formulations and prove the convergence of the resulting schemes. A numerical study is presented for the mixed formulation.

Keywords: Porous Medium; Weak Solution; Mixed Finite Element; Homogeneous Dirichlet Boundary Condition; Finite Element Scheme (search for similar items in EconPapers)
Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-33134-3_74

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DOI: 10.1007/978-3-642-33134-3_74

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