Exact Riemann solver for a nonlinear hyperbolic system of equations modeling a compressible two-phase flow in pipes

Idrissi, Abdelmjid Qadi El

doi:10.1016/j.jmaa.2021.125580

Cited by 2 publications

(1 citation statement)

References 16 publications

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“…Opanasenko et al 26 explored generalized symmetries, conservation laws, and Hamiltonian structures of an isothermal no‐slip DFM. Mathematical analysis of coupling conditions of the vertex flow for no‐slip drift‐flux case of multiphase flows was established by Banda et al 27 Analyzing the Riemann problem for various models we refer References 28‐32. Furthermore, different equations of state are introduced to find the solutions of DFM.…”

Section: Introductionmentioning

confidence: 99%

Solution to the Riemann problem for drift‐flux model with modified Chaplygin two‐phase flows

Zeidan

Jana

Kuila

et al. 2022

Numerical Methods in Fluids

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In this paper, we concern about the Riemann problem for compressible no‐slip drift‐flux model which represents a system of quasi‐linear partial differential equations derived by averaging the mass and momentum conservation laws with modified Chaplygin two‐phase flows. We obtain the exact solution of Riemann problem by elaborately analyzing characteristic fields and discuss the elementary waves namely, shock wave, rarefaction wave and contact discontinuity wave. By employing the equality of pressure and velocity across the middle characteristic field, two nonlinear algebraic equations with two unknowns as gas density ahead and behind the middle wave are formed. The Newton–Raphson method of two variables is applied to find the unknowns with a series of initial data from the literature. Finally, the exact solution for the physical quantities such as gas density, liquid density, velocity, and pressure are illustrated graphically.

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Section: Introductionmentioning

confidence: 99%