On the modified Eulerian-Lagrangian method for solving coupled balance equations in porous media

Shaul Sorek, Viacheslav Borisov, Alex Yakirevich

Research output: Contribution to conferencePaperpeer-review

2 Scopus citations

Abstract

The paper presents the modified Eulerian-Lagrangian (MEL) method for solving the flow and the transport of extensive quantities in a porous medium. In this modified formulation, the material derivatives are written in terms of modified velocities. These are the velocities at which the various phase and component variables propagate in the domain, along their respective characteristic curves. It is shown that these velocities depend on the heterogeneity of various solid matrix and fluid properties. A numerical analysis proves that unlike the Eulerian and the Eulerian-Lagrangian (EL) implicit difference scheme, the MEL one guarantees the absence of spurious oscillations.

Original languageEnglish
Pages577-584
Number of pages8
StatePublished - 1 Jan 1998
Externally publishedYes
EventProceedings of the 1998 12th International Conference on Computational Methods in Water Resources, CMWR XII'98. Part 1 (of 2) - Crete, Greece
Duration: 1 Jun 19981 Jun 1998

Conference

ConferenceProceedings of the 1998 12th International Conference on Computational Methods in Water Resources, CMWR XII'98. Part 1 (of 2)
CityCrete, Greece
Period1/06/981/06/98

ASJC Scopus subject areas

  • General Engineering

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