The DFLU flux for systems of conservation laws

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:247

Article

Adimurthi¹  Gowda, G. D. Veerappa¹  Jaffre, Jerome² 

[1] TIFR CAM, Bangalore 560065, Karnataka, India

[2] INRIA, F-78153 Le Chesnay, France

关键词: Finite volumes;    Finite differences;    Riemann solvers;    System of conservation laws;    Flow in porous media;    Polymer flooding;   

DOI  :  10.1016/j.cam.2012.12.025

来源: Elsevier

【 摘 要 】

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 a certain class of systems of conservation laws such as systems modeling polymer flooding in oil reservoir engineering. Furthermore, these results are extended to the case where the flux function is discontinuous in the space variable, such a situation arises for example while dealing with oil reservoirs which are heterogeneous. Numerical experiments are presented to illustrate the efficiency of this new scheme compared to other standard schemes like upstream mobility, Lax-Friedrichs and FORCE schemes. (C) 2013 Elsevier B.V. All rights reserved.

【 授权许可】

Free