PAMM
Volume 16, Issue 1 pp. 763-764
Section 18
Free Access

A discontinuous method for oil-water flow in heterogeneous porous media

Raimund Bürger, 

Corresponding Author

Raimund Bürger

CI 2 MA & Departamento de Ingeniería Matemática, Universidad de Concepción, Chile

CI2MA & Departamento de Ingeniería Matemática, Universidad de Concepción, ChileSearch for more papers by this author
Sarvesh Kumar, 

Sarvesh Kumar

Dept. of Mathematics, Indian Institute of Space Science and Technology, Thiruvananthapuram 695 547, Kerala, India

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Sudarshan Kumar Kenettinkara, 

Sudarshan Kumar Kenettinkara

CI 2 MA, Universidad de Concepción, Chile

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Ricardo Ruiz-Baier, 

Ricardo Ruiz-Baier

Mathematical Institute, Oxford University, Oxford, UK

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First published: 25 October 2016
https://doi.org/10.1002/pamm.201610370

Abstract

An oil-water flow-transport problem in a heterogeneous porous medium (HPM), given by the Brinkman model coupled with a fractional flow formulation, is solved numerically by a discontinuous finite volume element (DFVE) method coupled with a Runge-Kutta Discontinuous Galerkin (RKDG) scheme. A new (original) numerical example is presented. (© 2016 Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim)

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