A Nonisothermal Thermodynamical Model Of Liquid-vapor Interaction With Metastability

10/31/2019
by   Hala Ghazi, et al.
0

The paper concerns the construction of a compressible liquid-vapor relaxation model which is able to capture the metastable states of the non isothermal van der Waals model as well as saturation states. Starting from the Gibbs formalism, we propose a dynamical system which complies with the second law of thermodynamics. Numerical simulations illustrate the expected behaviour of metastable states: an initial metastable condition submitted to a certain perturbation may stay in the metastable state or reaches a saturation state. The dynamical system is then coupled to the dynamics of the compressible fluid using an Euler set of equations supplemented by convection equations on the fractions of volume, mass and energy of one of the phases.

READ FULL TEXT

page 1

page 2

page 3

page 4

research
01/16/2023

Sparse-stochastic model reduction for 2D Euler equations

The 2D Euler equations are a simple but rich set of non-linear PDEs that...
research
02/11/2020

A numerical damped oscillator approach to constrained Schrödinger equations

This article explains and illustrates the use of a set of coupled dynami...
research
07/09/2022

Accurate estimation of dynamical quantities for nonequilibrium nanoscale system

Fluctuations of dynamical quantities are fundamental and inevitable. For...
research
10/29/2018

Reduced models of point vortex systems

Nonequilibrium statistical models of point vortex systems are constructe...
research
08/24/2023

On the dynamics of the boundary vorticity for incompressible viscous flows

The dynamical equation of the boundary vorticity has been obtained, whic...
research
02/02/2021

Canonical scale separation in two-dimensional incompressible hydrodynamics

Characterization of the long-time behavior of an inviscid incompressible...
research
08/25/2019

Hypercoercivity properties of adaptive Langevin dynamics

Adaptive Langevin dynamics is a method for sampling the Boltzmann-Gibbs ...

Please sign up or login with your details

Forgot password? Click here to reset