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Exact Riemann solutions for the drift-flux equations of two-phase flow under gravity
C Shen, M Sun - Journal of Differential Equations, 2022 - Elsevier
The exact Riemann solutions are constructed in completely explicit forms for the drift-flux
equations of the one-dimensional inviscid, compressible and isentropic liquid-gas two …
equations of the one-dimensional inviscid, compressible and isentropic liquid-gas two …
Experimental and numerical simulation of three-dimensional gravity currents on smooth and rough bottom
The dynamics of a three-dimensional gravity current is investigated by both laboratory
experiments and numerical simulations. The experiments take place in a rectangular tank …
experiments and numerical simulations. The experiments take place in a rectangular tank …
Global existence of weak solutions for a viscous two-phase model
The purpose of this paper is to explore a viscous two-phase liquid–gas model relevant for
well and pipe flow. Our approach relies on applying suitable modifications of techniques …
well and pipe flow. Our approach relies on applying suitable modifications of techniques …
The generalized Riemann problem scheme for a laminar two-phase flow model with two-velocities
Q Zhang, W Sheng - Journal of Computational Physics, 2024 - Elsevier
In this paper, we propose a generalized Riemann problem (GRP) scheme for a laminar two-
phase flow model. The model takes into account the distinctions between different densities …
phase flow model. The model takes into account the distinctions between different densities …
Solution to the Riemann problem for drift‐flux model with modified Chaplygin two‐phase flows
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 …
model which represents a system of quasi‐linear partial differential equations derived by …
On the wave interactions in the drift-flux equations of two-phase flows
In the present work, we investigate the Riemann problem and interaction of weak shocks for
the widely used isentropic drift-flux equations of two-phase flows. The complete structure of …
the widely used isentropic drift-flux equations of two-phase flows. The complete structure of …
[PDF][PDF] Global weak solutions for a viscous liquid-gas model with singular pressure law
We study a viscous two-phase liquid-gas model relevant for well and pipe flow modelling.
The gas is assumed to be polytropic whereas the liquid is treated as an incompressible fluid …
The gas is assumed to be polytropic whereas the liquid is treated as an incompressible fluid …
Weak solutions for a gas-liquid model relevant for describing gas-kick in oil wells
S Evje - SIAM journal on mathematical analysis, 2011 - SIAM
The purpose of this paper is to establish a local in time existence result for a compressible
gas-liquid model. The model is a drift-flux model which is composed of two continuity …
gas-liquid model. The model is a drift-flux model which is composed of two continuity …
A distributed parameter systems view of control problems in drilling
We give a detailed view of estimation and control problems raised by the drilling process
where the distributed nature of the system cannot be ignored. In particular, we focus on the …
where the distributed nature of the system cannot be ignored. In particular, we focus on the …
The Riemann problem for a hyperbolic model of two-phase flow in conservative form
D Zeidan - International Journal of Computational Fluid Dynamics, 2011 - Taylor & Francis
This article is to continue the present author's work (International Journal of Computational
Fluid Dynamics (2009) 23 (9), 623–641) on studying the structure of solutions of the …
Fluid Dynamics (2009) 23 (9), 623–641) on studying the structure of solutions of the …