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 …

Experimental and numerical simulation of three-dimensional gravity currents on smooth and rough bottom

M La Rocca, C Adduce, G Sciortino, AB Pinzon - Physics of Fluids, 2008 - pubs.aip.org
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 …

Global existence of weak solutions for a viscous two-phase model

S Evje, KH Karlsen - Journal of Differential Equations, 2008 - Elsevier
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 …

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 …

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

D Zeidan, S Jana, S Kuila… - International Journal for …, 2023 - Wiley Online Library
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 …

On the wave interactions in the drift-flux equations of two-phase flows

D Zeidan, TR Sekhar - Applied Mathematics and Computation, 2018 - Elsevier
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 …

[PDF][PDF] Global weak solutions for a viscous liquid-gas model with singular pressure law

S Evje, KH Karlsen - Commun. Pure Appl. Anal, 2009 - ux.uis.no
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 …

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 …

A distributed parameter systems view of control problems in drilling

F Di Meglio, UJF Aarsnes - IFAC-PapersOnLine, 2015 - Elsevier
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 …

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 …