Bubbles in liquids with phase transition

Dreyer, Wolfgang; Duderstadt, Frank; Hantke, Maren; Warnecke, Gerald

doi:10.1007/s00161-011-0225-6

Cited by 31 publications

(6 citation statements)

References 25 publications

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“…For the fully isothermal Euler equations and without limiting phase transition to the CJ deflagration point, kinetic relation theory was adapted to interfaces between liquid and vapor [24,25,26,27,28]. An extension to the full Euler equations was discussed by Fechter [29], Zeiler [30], Fechter et al [31,32] and Thein [33].…”

Section: Introductionmentioning

confidence: 99%

Comparison of macro- and microscopic solutions of the Riemann problem II. Two-phase shock tube

Hitz

Jöns

Heinen

et al. 2021

Journal of Computational Physics

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The Riemann problem is one of the basic building blocks for numerical methods in computational fluid mechanics. Nonetheless, there are still open questions and gaps in theory and modelling for situations with complex thermodynamic behavior. In this series, we compare numerical solutions of the macroscopic flow equations with molecular dynamics simulation data. To enable molecular dynamics for sufficiently large scales in time and space, we selected the truncated and shifted Lennard-Jones potential, for which also highly accurate equations of state are available. A comparison of a two-phase Riemann problem is shown, which involves a liquid and a vapor phase, with an undergoing phase transition. The loss of hyperbolicity allows for the occurrence of anomalous wave structures. We successfully compare the molecular dynamics data with two macroscopic numerical solutions obtained by either assuming local phase equilibrium or by imposing a kinetic relation and allowing for metastable states.

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Section: Introductionmentioning

confidence: 99%

Comparison of macro- and microscopic solutions of the Riemann problem II. Two-phase shock tube

Hitz

Jöns

Heinen

et al. 2021

Journal of Computational Physics

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show abstract

“…For the fully isothermal Euler equations, kinetic relation theory was adapted to interfaces between liquid and vapor [11,12,13,14,15]. An extension to the full Euler equations was discussed by Fechter [16], Zeiler [17], Fechter et al [18,19] and Thein [20].…”

Section: Introductionmentioning

confidence: 99%

Comparison of macro- and microscopic solutions of the Riemann problem I. Supercritical shock tube and expansion into vacuum

Hitz

Heinen

Vrabec

et al. 2020

Journal of Computational Physics

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The Riemann problem is one of the basic building blocks for numerical methods in computational fluid mechanics. Nonetheless, there are still open questions and gaps in theory and modelling for situations with complex thermodynamic behavior. In this series, we compare numerical solutions of the macroscopic flow equations with molecular dynamics simulation data. To enable molecular dynamics for sufficiently large scales in time and space, we selected the truncated and shifted Lennard-Jones potential for which also highly accurate equations of state are available. A comparison of a twophase Riemann problem is shown, which involves a liquid and a vapor phase, with an undergoing phase transition. The loss of hyperbolicity allows for the occurrence of anomalous wave structures. We successfully compare the molecular dynamics data with two macroscopic numerical solutions obtained by either assuming local phase equilibrium or by imposing a kinetic relation and allowing for metastable states.

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“…Furthermore, as in the numerical simulation presented in , there is no rebound of the bubble after the collapse. In real experiments, this behavior is not observed, and it is thought to be due to the presence of a percentage of noncondensable gas inside the bubble beside the water vapor . However, from the data collected, the model is able to properly reproduce the dynamics of the problem, that is, the bubble and the shock generation, the bubble expansion and collapse, and the consequent generation of the new shock.…”

Section: Numerical Testsmentioning

confidence: 98%

A compressible single‐temperature conservative two‐phase model with phase transitions

Spina

Vitturi

Romenski

2014

Numerical Methods in Fluids

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SUMMARYA model for multidimensional compressible two‐phase flow with pressure and velocity relaxations based on the theory of thermodynamically compatible system is extended to study liquid–gas flows with cavitation. The model assumes for each phase its own pressure and velocity, while a common temperature is considered. The governing equations form a hyperbolic system in conservative form and are derived through the theory of a thermodynamically compatible system. The phase pressure‐equalizing process and the interfacial friction are taken into account in the balance laws for the volume fractions of one phase and for the relative velocity by adding two relaxation source terms, while the phase transition is introduced into the model considering in the balance equation for the mass of one phase the relaxation of the Gibbs free energies of the two phases. A modification of the central finite‐volume Kurganov–Noelle–Petrova method is adopted in this work to solve the homogeneous hyperbolic part, while the relaxation source terms are treated implicitly. In order to investigate the effect of the mass transfer in the solution, a 1D cavitation tube problem is presented. In addition, two 2D numerical simulations regarding cavitation problem are also studied: a cavitating Richtmyer–Meshkov instability and a laser‐induced cavitation problem. Copyright © 2014 John Wiley & Sons, Ltd.

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Bubbles in liquids with phase transition

Cited by 31 publications

References 25 publications

Comparison of macro- and microscopic solutions of the Riemann problem II. Two-phase shock tube

Comparison of macro- and microscopic solutions of the Riemann problem II. Two-phase shock tube

Comparison of macro- and microscopic solutions of the Riemann problem I. Supercritical shock tube and expansion into vacuum

A compressible single‐temperature conservative two‐phase model with phase transitions

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