Linear and nonlinear analysis of an unstable, but well-posed, one-dimensional two-fluid model for two-phase flow based on the inviscid Kelvin–Helmholtz instability

WD Fullmer, VH Ransom, MAL De Bertodano - Nuclear Engineering and …, 2014 - Elsevier
For nuclear reactor safety analysis, the one-dimensional two-fluid model equations are
solved numerically with the first order upwind method because of its robust stability. In the …

Verification of a higher-order finite difference scheme for the one-dimensional two-fluid model

WD Fullmer, MAL de Bertodano… - The Journal of …, 2013 - journals.sagepub.com
The one-dimensional two-fluid model is widely acknowledged as the most detailed and
accurate macroscopic formulation model of the thermo-fluid dynamics in nuclear reactor …

[PDF][PDF] The Kelvin-Helmholtz instability: comparisons of one-and two-dimensional simulations

WD Fullmer, MA Lopez de Bertodano… - … Topical Meeting on …, 2011 - researchgate.net
A 1D two-fluid model for horizontal stratified flow is presented and discussed in the context
of the Kelvin-Helmholtz instability. The model is well-posed because it includes surface …

Numerical solution of wavy-stratified fluid-fluid flow with the one-dimensional two-fluid model: Stability, boundedness, convergence and chaos

WD Fullmer, A Clausse… - Fluids …, 2014 - asmedigitalcollection.asme.org
In this paper the one-dimensional two-fluid model is used to dynamically simulate slightly
inclined fluid-fluid flow in a rectangular channel. By that, it is specifically meant that the …

Analysis of interfacial forces on the physics of two-phase flow and hyperbolicity of the two-fluid model

A Talpaert - 2013 - ideals.illinois.edu
The scope of this Master Thesis is the two-fluid model. This study aims at analysing their ill-
posedness, showing how it is related to non-hyperbolicity and giving a measurement that I …

Dynamic simulation of wavy-stratified two-phase flow with the one-dimensional two-fluid model

WD Fullmer - 2014 - search.proquest.com
The one-dimensional two-fluid model is the basis for the description of the transport of mass,
momentum and energy in the thermal-hydraulic codes used for nuclear reactor safety …

[PDF][PDF] Assessment of Regularization Methods for the 1 D Two-fluid Model

WD Fullmer, VH Ransom… - Transactions of the …, 2012 - researchgate.net
Since the discovery of the ill-posed nature of the most basic one-dimensional (1D) two-fluid
model, the methods to regularize the model, ie to make it wellposed, have been the subject …

Two-Fluid Model

ML Bertodano, W Fullmer, A Clausse… - Two-Fluid Model …, 2017 - Springer
The stability analysis of the four-equation incompressible TFM for horizontal stratified flow is
presented. Both the characteristic equation and the dispersion relation are obtained. A von …