Global Riemann solver and front tracking approximation of three-component gas floods

Saeid Khorsandi, Wen Shen, Russell T. Johns

Research output: Contribution to journalArticle

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Abstract

We study a 2×2 system of non-strictly hyperbolic conservation laws arising in three-component gas flooding for enhanced oil recovery. The system is not strictly hyperbolic. In fact, along a curve in the domain one family is linearly degenerate, and along two other curves the system is parabolic degenerate. We construct global solutions for the Riemann problem, utilizing the splitting property of thermodynamics from the hydrodynamics. Front tracking simulations are presented, using the global Riemann solver.

Original languageEnglish (US)
Pages (from-to)607-632
Number of pages26
JournalQuarterly of Applied Mathematics
Volume74
Issue number4
DOIs
Publication statusPublished - Jan 1 2016

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All Science Journal Classification (ASJC) codes

  • Applied Mathematics

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