Physical aspects of the relaxation model in two-phase flow

Z Bilicki, J Kestin - Proceedings of the Royal Society of …, 1990 - royalsocietypublishing.org
… We can adopt the physical interpretation that the relaxation time 6 is very long compared
with w_1. The second speed, the equilibrium speed of propagation, is defined as …

Time scales of relaxation dynamics during transient conditions in twophase flow

S Schlüter, S Berg, T Li, HJ Vogel… - Water Resources …, 2017 - Wiley Online Library
… with two-phase flow experiments in a small glass bead pack that even though transient features
of the fluid interfaces (like slowly relaxing … the relaxation time is much faster than the time

Relaxation two-phase flow models and the subcharacteristic condition

T Flåtten, H Lund - Mathematical Models and Methods in Applied …, 2011 - World Scientific
… Furthermore, dynamical two-phase flow processes will generally not take place in thermodynamic
equilibrium. However, the relaxation time towards equilibrium may be small for several …

Multiple-relaxation-time color-gradient lattice Boltzmann model for simulating two-phase flows with high density ratio

Y Ba, H Liu, Q Li, Q Kang, J Sun - Physical Review E, 2016 - APS
In this paper we propose a color-gradient lattice Boltzmann (LB) model for simulating two-phase
flows with high density ratio and high Reynolds number. The model applies a …

Entropic multiple-relaxation-time multirange pseudopotential lattice Boltzmann model for two-phase flow

F Qin, A Mazloomi Moqaddam, Q Kang, D Derome… - Physics of …, 2018 - pubs.aip.org
… to study the two-phase flow. Compared with previous multiple-relaxation-time multiphase
models, this model is stable and accurate for the simulation of a two-phase flow in a much …

On the effect of temperature and velocity relaxation in two-phase flow models

PJM Ferrer, T Flåtten, ST Munkejord - … : Mathematical Modelling and …, 2012 - cambridge.org
… of these relaxation processes, we consider the limits of zero and infinite relaxation times. By
… of the mixture sound velocity for the thermally relaxed model. This allows us to directly prove …

A hierarchy of relaxation models for two-phase flow

H Lund - SIAM Journal on Applied Mathematics, 2012 - SIAM
… As the relaxation time ε of the relaxation system (1.1) goes to zero, we expect the solutions
to approach the solutions of the equilibrium system (1.5). This was rigorously justified by Yong …

Velocity and Energy Relaxation in TwoPhase Flows

Y Meyapin, D Dutykh, M Gisclon - Studies in Applied …, 2010 - Wiley Online Library
relaxation terms into momentum and energy relaxation equations. These relaxation terms
… Then, after taking the singular limit when the characteristic relaxation time goes to zero, one …

Entropic multi-relaxation-time lattice Boltzmann model for large density ratio two-phase flows

SA Hosseini, B Dorschner, IV Karlin - arXiv preprint arXiv:2201.12404, 2022 - arxiv.org
relaxation time entropic realization of a two-phase flow lattice … While the original model with
a single relaxation time allows … Here we show that the entropic multiple relaxation time model …

Relaxation schemes for the calculation of two-phase flow in pipes

S Evje, KK Fjelde - Mathematical and computer modelling, 2002 - Elsevier
… schemes (relaxing and relaxed) to a certain two-phase model … We first demonstrate that the
original relaxation schemes of … transition from two-phase flow to single-phase flow. However, …