A hyperbolic phase-transition model with non-instantaneous EoS-independent relaxation procedures

Lorenzo, M. De; Lafon, Philippe; Pelanti, Marica

doi:10.1016/j.jcp.2018.12.002

Cited by 14 publications

(12 citation statements)

References 30 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The second relaxation procedure, based on [56,57,58], allows the modelling of chemical relaxation of arbitrary rate, finite-rate (for instance with a given function to define ν) or instantaneous. It is based on the idea of approximating the relaxation process toward the equilibrium g 1 = g 2 by an exponential behavior.…”

Section: Phase Transition Solvermentioning

confidence: 99%

“…To assess the accuracy of the results produced by the present methodology, the same test case was also simulated by using an established methodology for compressible twophase flows with phase transition, documented in [19,56,57,58]. The reference methodology (formally second-order accurate) is based on a six-equation two-phase diffuse interface model, and it uses a HLLC-type Riemann solver for the homogeneous equations together with mechanical, and thermo-chemical relaxation procedures for inter-phase processes.…”

Section: Water Liquid-vapor Filled Tube With a Superheated Regionmentioning

confidence: 99%

“…T , S a n,m+1 1 , T n,m+1 and p n,m+1 are locally modified following the relaxation procedure of [56,57,58].…”

mentioning

confidence: 99%

See 2 more Smart Citations

A pressure-based diffuse interface method for low-Mach multiphase flows with mass transfer

Demou,

Scapin,

Pelanti

et al. 2021

Preprint

View full text Add to dashboard Cite

This study presents a novel pressure-based methodology for the efficient numerical solution of a four-equation two-phase diffuse interface model. The proposed methodology has the potential to simulate low-Mach flows with mass transfer. In contrast to the classical conservative four-equation model formulation, the adopted set of equations features volume fraction, temperature, velocity and pressure as the primary variables. The model includes the effects of viscosity, surface tension, thermal conductivity and gravity, and has the ability to incorporate complex equations of state. Additionally, a Gibbs free energy relaxation procedure is used to model mass transfer. A key characteristic of the proposed methodology is the use of high performance and scalable solvers for the solution of the Helmholtz equation for the pressure, which drastically reduces the computational cost compared to analogous density-based approaches. We demonstrate the capabilities of the methodology to simulate flows with large density and viscosity ratios through extended verification against a range of different test cases. Finally, the potential of the methodology to tackle challenging phase change flows is demonstrated with the simulation of three-dimensional nucleate boiling.

show abstract

Section: Phase Transition Solvermentioning

confidence: 99%

Section: Water Liquid-vapor Filled Tube With a Superheated Regionmentioning

confidence: 99%

See 1 more Smart Citation

A pressure-based diffuse interface method for low-Mach multiphase flows with mass transfer

Demou,

Scapin,

Pelanti

et al. 2021

Preprint

View full text Add to dashboard Cite

show abstract

“…The stiffened gas equation of state is very convenient for numerical purposes, however it might not allow an accurate flow characterization over a wide temperature range, and in particular for liquid-vapor flows it might not provide a precise estimation of the saturation conditions [32]. Some more recent multiphase numerical models for liquid-vapor flows adopt a slightly more accurate equation of state, the Noble-Abel stiffened gas equation of state [34,58,11,23], and few models adopt complex and very precise equations of state such as the IAPWS Industrial Formulation 1997 for Water and Steam [73], which we have used in previous work [16,17,18].…”

Section: Introductionmentioning

confidence: 99%

Arbitrary-rate relaxation techniques for the numerical modeling of compressible two-phase flows with heat and mass transfer

Pelanti¹

2021

Preprint

View full text Add to dashboard Cite

We describe compressible two-phase flows by a single-velocity six-equation flow model, which is composed of the phasic mass and total energy equations, one volume fraction equation, and the mixture momentum equation. The model contains relaxation source terms accounting for volume, heat and mass transfer. The equations are numerically solved via a fractional step algorithm, where we alternate between the solution of the homogeneous hyperbolic portion of the system via a HLLC-type wave propagation scheme, and the solution of a sequence of three systems of ordinary differential equations for the relaxation source terms driving the flow toward mechanical, thermal and chemical equilibrium. In the literature often numerical relaxation procedures are based on simplifying assumptions, namely simple equations of state, such as the stiffened gas one, and instantaneous relaxation processes. These simplifications of the flow physics might be inadequate for the description of the thermodynamical processes involved in various flow problems. In the present work we introduce new numerical relaxation techniques with two significant properties: the capability to describe heat and mass transfer processes of arbitrary relaxation time, and the applicability to a general equation of state. We show the effectiveness of the proposed methods by presenting several numerical experiments.

show abstract

“…Relaxation towards thermodynamical equilibrium is assumed to be infinitely fast, so that metastable states appear far from the vaporization fronts. In [7,8] and [9], the authors improve this approach by using the realistic tabulated law IAPWS-IF97 EoS coupled with cubic interpolation and accurate HLLC-type numerical scheme. They compare different models of a same hierarchy.…”

mentioning

confidence: 99%

A nonisothermal thermodynamical model of liquid-vapor interaction with metastability

Ghazi¹,

James²,

Mathis³

2021

DCDS-B

View full text Add to dashboard Cite

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.

show abstract

A hyperbolic phase-transition model with non-instantaneous EoS-independent relaxation procedures

Cited by 14 publications

References 30 publications

A pressure-based diffuse interface method for low-Mach multiphase flows with mass transfer

A pressure-based diffuse interface method for low-Mach multiphase flows with mass transfer

Arbitrary-rate relaxation techniques for the numerical modeling of compressible two-phase flows with heat and mass transfer

A nonisothermal thermodynamical model of liquid-vapor interaction with metastability

Contact Info

Product

Resources

About