A hyperbolic system modelling incompressible two phase flows ...

We propose a $$2\times 2$$ hyperbolic system of conservation laws to model the dynamics of two incompressible fluids in mechanical ...

A 2 x 2 HYPERBOLIC SYSTEM MODELLING INCOMPRESSIBLE ...

In the numerical part of the paper we propose some approximate Riemann solvers to simulate the model, especially the multiphase/single phase ...

A 2 × 2 HYPERBOLIC SYSTEM MODELLING INCOMPRESSIBLE ...

A 2 × 2 HYPERBOLIC SYSTEM MODELLING INCOMPRESSIBLE TWO PHASE FLOWS -THEORY AND NUMERICS. Michael Ndjinga (1) , Thi-Phuong-Kieu Nguyen (1, 2) ...

A $$\varvec{2\times 2}$$ 2 × 2 hyperbolic system modelling ...

Request PDF | A $$\varvec{2\times 2}$$ 2 × 2 hyperbolic system modelling incompressible two phase flows: theory and numerics | We propose a $2\times 2$ ...

A 2 × 2 HYPERBOLIC SYSTEM MODELLING INCOMPRESSIBLE ...

Finally, as an application we study and simulate the problem of phase separation by gravity. 1. Introduction The flow regime involved in a ...

A $$\varvec{2\times 2}$$ hyperbolic system modelling ... - OUCI

A $$\varvec{2\times 2}$$ hyperbolic system modelling incompressible two phase flows: theory and numerics ... two-fluid model for two-phase incompressible flow.

A $$\varvec{2\times 2}$$ hyperbolic system modelling ... - CoLab

A $$\varvec{2\times 2}$$ hyperbolic system modelling incompressible two phase flows: theory and numerics. M Ndjinga 1. ,. T P K Nguyen 1, 2. ,. C. CHALONS 2.

Hyperbolic two-pressure models for two-phase flow - ScienceDirect

For systems of partial differential equations of first order, stability in the sense of von Neumann is essentially equivalent to the condition that the model be ...

Thermodynamically Compatible Hyperbolic Model for a Two-Phase ...

... SYSTEM OF GENERATING EQUATIONS FOR THE MODELING OF TWO-PHASE COMPRESSIBLE FLOWS. The governing equations of the presented model of a mixture ...

Set of hyperbolic incompressible two-phase flow equations for two ...

The total energy of the system, expressed as the sum of the individual internal energies plus a kinetic energy, was minimized by Gibbs' ...

Thermodynamically Compatible Hyperbolic Model for Two-Phase ...

A two-phase flow model for compressible immiscible fluids is presented, the derivation of which is based on the use of the theory of symmetric hyperbolic ...

Numerical simulation of hyperbolic two-phase flow models using a ...

An additional feature of PVM methods is that they can be defined in the general framework of nonconservative hyperbolic systems, which allows to ...

A hyperbolic two-fluid model for compressible flows with arbitrary ...

Other forms of the stiffened-gas model are possible, and the factor is not needed for more dilute systems where the disperse-phase eigenvalues ...

Hyperbolic two-pressure models for two-phase flow | Semantic Scholar

Abstract.Hyperbolic models for compressible two-phase flows including a conservative symmetric hyperbolic model are reviewed. The basis for a theory of ...

Effect of Compressibility on Hyperbolicity and Choke Flow Criterion ...

), hence in general system of the equations for the incompressible two-phase flow is non-hyperbolic. 4.1. Correction term for the hyperbolicity. In presence ...

a hyperbolic-elliptic model of two-phase flow in porous media ...

The above equations are a hyperbolic-elliptic system as the saturation equation in (1.7) is a scalar hyperbolic conservation law in several space dimensions ...

Modelling compressible dense and dilute two-phase flows

A. Physical variables formulation. System (4.1)-(4.2) is expressed with “physical variables”: volume fraction, density, velocity ...

Compressible two‐phase flow modelling based on ...

This paper outlines the development of a two-phase flow model based on the theory of thermodynamically compatible systems of hyperbolic ...

lack of hyperbolicity in the two-fluid model for two-phase ... - OSU Math

Begin- ning with Section 2, we focus on a specific model system, arising from the two-fluid model for two-phase incompressible flow. We find an ...

Compressible Two-Phase Flows: Two-Pressure Models and ...

The derivation of the governing equations of the model is based on the principles of extended thermodynamics. The field equations form a hyperbolic system of ...