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

Author

Listed:
  • 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)

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.

Suggested Citation

  • Yueyuan Gao & Danielle Hilhorst & Huy Cuong Vu Do, 2021. "A Generalized Finite Volume Method for Density Driven Flows in Porous Media," Energies, MDPI, vol. 14(19), pages 1-24, September.
    • Handle: RePEc:gam:jeners:v:14:y:2021:i:19:p:6151-:d:644105
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