A Generalized Finite Volume Method for Density Driven Flows in Porous Media

Yueyuan Gao, Danielle Hilhorst and Huy Cuong Vu Do
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Yueyuan Gao: Research Institute for Electronic Science, Hokkaido University, Sapporo 060-0812, Japan
Danielle Hilhorst: CNRS and Laboratoire de Mathématiques d’Orsay, Université Paris-Saclay, 91400 Orsay, France
Huy Cuong Vu Do: Faculty of Mathematics and Computer Science, VNUHCM-University of Science, Ho Chi Minh 70000, Vietnam

Energies, 2021, vol. 14, issue 19, 1-24

Abstract: In this article, we consider a time evolution equation for solute transport, coupled with a pressure equation in space dimension 2. For the numerical discretization, we combine the generalized finite volume method SUSHI on adaptive meshes with a time semi-implicit scheme. In the first part of this article, we present numerical simulations for two problems: a rotating interface between fresh and salt water and a well-known test case proposed by Henry. In the second part, we also introduce heat transfer and perform simulations for a system from the documentation of the software SEAWAT.

Keywords: porous media; density driven flows; finite volume methods; the SUSHI scheme; adaptive meshes; heat transfer (search for similar items in EconPapers)
JEL-codes: Q Q0 Q4 Q40 Q41 Q42 Q43 Q47 Q48 Q49 (search for similar items in EconPapers)
Date: 2021
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