Compressible simulations of bubble dynamics with central-upwind schemes

Pheovos Koukouvinis, Manolis Gavaises, Anastasios Georgoulas, Marco Marengo

Research output: Contribution to journalArticleResearchpeer-review

Abstract

This paper discusses the implementation of an explicit density-based solver, that utilises the centralupwind schemes for the simulation of cavitating bubble dynamic flows. It is highlighted that, in conjunction with the Monotonic Upstream-Centered Scheme for Conservation Laws (MUSCL) scheme they are of second order in spatial accuracy; essentially they are high-order extensions of the Lax– Friedrichsmethod and are linked to the Harten Lax and van Leer (HLL) solver family. Basic comparison with the predicted wave pattern of the central-upwind schemes is performed with the exact solution of the Riemann problem, for an equation of state used in cavitating flows, showing excellent agreement. Next, the solver is used to predict a fundamental bubble dynamics case, the Rayleigh collapse, in which results are in accordance to theory. Then several different bubble configurationswere tested. Themethodology is able to handle the large pressure and density ratios appearing in cavitating flows, giving similar predictions in the evolution of the bubble shape, as the reference.
Original languageEnglish
Pages (from-to)129-140
Number of pages12
JournalInternational Journal of Computational Fluid Dynamics
Volume30
Issue number2
DOIs
Publication statusPublished - 31 Mar 2016

Fingerprint

bubbles
simulation
Cauchy problem
pressure ratio
conservation laws
trucks
upstream
equations of state
predictions

Bibliographical note

This is an Accepted Manuscript of an article published by Taylor & Francis in International Journal of Computational Fluid Dynamics on 31/03/2016, available online: http://www.tandfonline.com/10.1080/10618562.2016.1166216

Keywords

  • Explicit
  • compressible
  • density-based
  • central-upwind schemes
  • 30 cavitation
  • bubble dynamics

Cite this

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title = "Compressible simulations of bubble dynamics with central-upwind schemes",
abstract = "This paper discusses the implementation of an explicit density-based solver, that utilises the centralupwind schemes for the simulation of cavitating bubble dynamic flows. It is highlighted that, in conjunction with the Monotonic Upstream-Centered Scheme for Conservation Laws (MUSCL) scheme they are of second order in spatial accuracy; essentially they are high-order extensions of the Lax– Friedrichsmethod and are linked to the Harten Lax and van Leer (HLL) solver family. Basic comparison with the predicted wave pattern of the central-upwind schemes is performed with the exact solution of the Riemann problem, for an equation of state used in cavitating flows, showing excellent agreement. Next, the solver is used to predict a fundamental bubble dynamics case, the Rayleigh collapse, in which results are in accordance to theory. Then several different bubble configurationswere tested. Themethodology is able to handle the large pressure and density ratios appearing in cavitating flows, giving similar predictions in the evolution of the bubble shape, as the reference.",
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Compressible simulations of bubble dynamics with central-upwind schemes. / Koukouvinis, Pheovos; Gavaises, Manolis; Georgoulas, Anastasios; Marengo, Marco.

In: International Journal of Computational Fluid Dynamics, Vol. 30, No. 2, 31.03.2016, p. 129-140.

Research output: Contribution to journalArticleResearchpeer-review

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AU - Gavaises, Manolis

AU - Georgoulas, Anastasios

AU - Marengo, Marco

N1 - This is an Accepted Manuscript of an article published by Taylor & Francis in International Journal of Computational Fluid Dynamics on 31/03/2016, available online: http://www.tandfonline.com/10.1080/10618562.2016.1166216

PY - 2016/3/31

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N2 - This paper discusses the implementation of an explicit density-based solver, that utilises the centralupwind schemes for the simulation of cavitating bubble dynamic flows. It is highlighted that, in conjunction with the Monotonic Upstream-Centered Scheme for Conservation Laws (MUSCL) scheme they are of second order in spatial accuracy; essentially they are high-order extensions of the Lax– Friedrichsmethod and are linked to the Harten Lax and van Leer (HLL) solver family. Basic comparison with the predicted wave pattern of the central-upwind schemes is performed with the exact solution of the Riemann problem, for an equation of state used in cavitating flows, showing excellent agreement. Next, the solver is used to predict a fundamental bubble dynamics case, the Rayleigh collapse, in which results are in accordance to theory. Then several different bubble configurationswere tested. Themethodology is able to handle the large pressure and density ratios appearing in cavitating flows, giving similar predictions in the evolution of the bubble shape, as the reference.

AB - This paper discusses the implementation of an explicit density-based solver, that utilises the centralupwind schemes for the simulation of cavitating bubble dynamic flows. It is highlighted that, in conjunction with the Monotonic Upstream-Centered Scheme for Conservation Laws (MUSCL) scheme they are of second order in spatial accuracy; essentially they are high-order extensions of the Lax– Friedrichsmethod and are linked to the Harten Lax and van Leer (HLL) solver family. Basic comparison with the predicted wave pattern of the central-upwind schemes is performed with the exact solution of the Riemann problem, for an equation of state used in cavitating flows, showing excellent agreement. Next, the solver is used to predict a fundamental bubble dynamics case, the Rayleigh collapse, in which results are in accordance to theory. Then several different bubble configurationswere tested. Themethodology is able to handle the large pressure and density ratios appearing in cavitating flows, giving similar predictions in the evolution of the bubble shape, as the reference.

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