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The Riemann Problem for a Nonstrictly Hyperbolic System Modeling Nonisothermal, Two–Phase Flow in a Porous Medium

1989; Society for Industrial and Applied Mathematics; Volume: 49; Issue: 3 Linguagem: Inglês

10.1137/0149045

1095-712X

T. Barkve,

Computational Fluid Dynamics and Aerodynamics

The Riemann problem for a $2 \times 2$ system of conservation laws arising in reservoir mechanics is solved. Entropy conditions for the system are discussed, including an explicit expression for an entropy function. Some features of a numerical solution of the system are presented.