Compressible bubble dynamic simulations with central-upwind schemes

P. 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, based on the central-upwind schemes originally suggested by Kurganov, for the simulation of cavitating bubble dynamic flows. Explicit density based solvers are suited for highly dynamic, violent flows, involving large density ratios, as is rather common in cavitating flows. Moreover, the central-upwind schemes have the advantage of avoiding direct evaluation of the Jacobian matrix or estimation of the wave pattern emerging from Euler equations. Second order accuracy can be achieved with TVD MUSCL schemes. Basic comparison with the predicted wave pattern of the central-upwind schemes is performed with the exact solution of the Riemann problem showing an excellent agreement. Then several different bubble configurations were tested, similar to the work of Lauer et al. (2012). The central-upwind schemes prove to be able to handle the large pressure and density ratios appearing in cavitating flows, giving similar predictions in the evolution of the bubble shape.
Original languageEnglish
JournalJournal of Physics: Conference Series
Volume656
Issue number1
DOIs
Publication statusPublished - 31 Dec 2015

Fingerprint

bubbles
simulation
TVD schemes
Cauchy problem
pressure ratio
emerging
evaluation
configurations
predictions

Bibliographical note

Content from this work may be used under the terms of the Creative Commons Attribution 3.0 licence. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI.

Cite this

@article{d20836a1cfa24280a27250f6a1beeb7f,
title = "Compressible bubble dynamic simulations with central-upwind schemes",
abstract = "This paper discusses the implementation of an explicit density-based solver, based on the central-upwind schemes originally suggested by Kurganov, for the simulation of cavitating bubble dynamic flows. Explicit density based solvers are suited for highly dynamic, violent flows, involving large density ratios, as is rather common in cavitating flows. Moreover, the central-upwind schemes have the advantage of avoiding direct evaluation of the Jacobian matrix or estimation of the wave pattern emerging from Euler equations. Second order accuracy can be achieved with TVD MUSCL schemes. Basic comparison with the predicted wave pattern of the central-upwind schemes is performed with the exact solution of the Riemann problem showing an excellent agreement. Then several different bubble configurations were tested, similar to the work of Lauer et al. (2012). The central-upwind schemes prove to be able to handle the large pressure and density ratios appearing in cavitating flows, giving similar predictions in the evolution of the bubble shape.",
author = "P. Koukouvinis and Manolis Gavaises and Anastasios Georgoulas and Marco Marengo",
note = "Content from this work may be used under the terms of the Creative Commons Attribution 3.0 licence. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI.",
year = "2015",
month = "12",
day = "31",
doi = "10.1088/1742-6596/656/1/012087",
language = "English",
volume = "656",
journal = "Journal of Physics: Conference Series",
issn = "1742-6588",
number = "1",

}

Compressible bubble dynamic simulations with central-upwind schemes. / Koukouvinis, P.; Gavaises, Manolis; Georgoulas, Anastasios; Marengo, Marco.

In: Journal of Physics: Conference Series, Vol. 656, No. 1, 31.12.2015.

Research output: Contribution to journalArticleResearchpeer-review

TY - JOUR

T1 - Compressible bubble dynamic simulations with central-upwind schemes

AU - Koukouvinis, P.

AU - Gavaises, Manolis

AU - Georgoulas, Anastasios

AU - Marengo, Marco

N1 - Content from this work may be used under the terms of the Creative Commons Attribution 3.0 licence. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI.

PY - 2015/12/31

Y1 - 2015/12/31

N2 - This paper discusses the implementation of an explicit density-based solver, based on the central-upwind schemes originally suggested by Kurganov, for the simulation of cavitating bubble dynamic flows. Explicit density based solvers are suited for highly dynamic, violent flows, involving large density ratios, as is rather common in cavitating flows. Moreover, the central-upwind schemes have the advantage of avoiding direct evaluation of the Jacobian matrix or estimation of the wave pattern emerging from Euler equations. Second order accuracy can be achieved with TVD MUSCL schemes. Basic comparison with the predicted wave pattern of the central-upwind schemes is performed with the exact solution of the Riemann problem showing an excellent agreement. Then several different bubble configurations were tested, similar to the work of Lauer et al. (2012). The central-upwind schemes prove to be able to handle the large pressure and density ratios appearing in cavitating flows, giving similar predictions in the evolution of the bubble shape.

AB - This paper discusses the implementation of an explicit density-based solver, based on the central-upwind schemes originally suggested by Kurganov, for the simulation of cavitating bubble dynamic flows. Explicit density based solvers are suited for highly dynamic, violent flows, involving large density ratios, as is rather common in cavitating flows. Moreover, the central-upwind schemes have the advantage of avoiding direct evaluation of the Jacobian matrix or estimation of the wave pattern emerging from Euler equations. Second order accuracy can be achieved with TVD MUSCL schemes. Basic comparison with the predicted wave pattern of the central-upwind schemes is performed with the exact solution of the Riemann problem showing an excellent agreement. Then several different bubble configurations were tested, similar to the work of Lauer et al. (2012). The central-upwind schemes prove to be able to handle the large pressure and density ratios appearing in cavitating flows, giving similar predictions in the evolution of the bubble shape.

U2 - 10.1088/1742-6596/656/1/012087

DO - 10.1088/1742-6596/656/1/012087

M3 - Article

VL - 656

JO - Journal of Physics: Conference Series

JF - Journal of Physics: Conference Series

SN - 1742-6588

IS - 1

ER -