Numerical simulation of one‐dimensional flows through porous media with shock waves | Zendy

MartinsCosta Maria Laura | Zendy; Saldanha da Gama Rogério M. | Zendy

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Numerical simulation of one‐dimensional flows through porous media with shock waves

Author(s) -

MartinsCosta Maria Laura,

Saldanha da Gama Rogério M.

Publication year - 2001

Publication title -

international journal for numerical methods in engineering

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.421

H-Index - 168

eISSN - 1097-0207

pISSN - 0029-5981

DOI - 10.1002/nme.233

Subject(s) - porous medium , compressibility , partial differential equation , newtonian fluid , mechanics , non newtonian fluid , nonlinear system , porosity , mathematics , work (physics) , operator (biology) , matrix (chemical analysis) , shock wave , fluid dynamics , mathematical analysis , thermodynamics , materials science , physics , chemistry , biochemistry , repressor , quantum mechanics , gene , transcription factor , composite material

This work studies an unsaturated flow of a Newtonian fluid through a rigid porous matrix, using a mixture theory approach in its modelling. The mixture consists of three overlapping continuous constituents: a solid (porous medium), a liquid (Newtonian fluid) and an inert gas (to account for the mixture compressibility). A set of two nonlinear partial differential equations describes the problem, which is approximated by means of a Glimm's scheme, combined with an operator splitting technique. Copyright © 2001 John Wiley & Sons, Ltd.

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