Applications of the DFLU flux to systems of conservation laws
Adimurthi Adimurthi, G.D. Veerappa Gowda, J\'er\^ome Jaffr\'e (INRIA, Rocquencourt, INRIA Rocquencourt)
TL;DR
This paper extends the DFLU flux, originally designed for scalar conservation laws, to systems of conservation laws, demonstrating its effectiveness through an application in polymer flooding modeling.
Contribution
The paper introduces a novel approach to applying the DFLU flux to systems of conservation laws, bridging a gap in numerical methods for complex hyperbolic systems.
Findings
DFLU flux closely approximates Godunov flux for systems
Successful application to polymer flooding in oil reservoirs
Demonstrates potential for broader use in conservation law systems
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.
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