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Applications of the DFLU flux to systems of conservation laws

Adimurthi Adimurthi 1 G.D. Veerappa Gowda 1 Jérôme Jaffré 2
1 TIFR-CAM - Center for Applicable Mathematics [Bangalore]
2 ESTIME - Parameter estimation and modeling in heterogeneous media
Inria Paris-Rocquencourt
Abstract : The DFLU numerical flux was introduced in order to solve hyperbolic scalar conservation laws with a flux function discontinuous in space. We show how this flux can be used to solve systems of conservation laws. The obtained numerical flux is very close to a Godunov flux. As an example we consider a system modeling polymer flooding in oil reservoir engineering.
Keywords : polymer flooding. Finite volumes finite differences Riemann solvers system of conservation laws flow in porous media polymer flooding
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https://hal.inria.fr/inria-00408869
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Submitted on : Monday, August 3, 2009 - 6:01:36 PM
Last modification on : Friday, February 4, 2022 - 3:13:13 AM
Long-term archiving on: : Tuesday, June 15, 2010 - 8:32:36 PM

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Adimurthi Adimurthi, G.D. Veerappa Gowda, Jérôme Jaffré. Applications of the DFLU flux to systems of conservation laws. [Research Report] RR-7009, INRIA. 2009, pp.23. ⟨inria-00408869⟩

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