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Research Article
Bubble collapse in compressible fluids using a spectral element marker particle method. Part 1. Newtonian fluids
Article first published online: 21 DEC 2011
DOI: 10.1002/fld.2737
Copyright © 2011 John Wiley & Sons, Ltd.
Issue
International Journal for Numerical Methods in Fluids
Volume 70, Issue 9, pages 1167–1187, 30 November 2012
Additional Information
How to Cite
Lind, S. J. and Phillips, T.N. (2012), Bubble collapse in compressible fluids using a spectral element marker particle method. Part 1. Newtonian fluids. Int. J. Numer. Meth. Fluids, 70: 1167–1187. doi: 10.1002/fld.2737
Publication History
- Issue published online: 10 OCT 2012
- Article first published online: 21 DEC 2011
- Manuscript Accepted: 20 NOV 2011
- Manuscript Revised: 25 OCT 2011
- Manuscript Received: 2 MAY 2011
Funded by
- Engineering and Physical Sciences Research Council of the United Kingdom. Grant Number: EP/C513037
- Abstract
- Article
- References
- Cited By
Keywords:
- Newtonian fluids;
- bubble collapse;
- spectral element method;
- marker particles
SUMMARY
This paper is concerned with the development of a high-order numerical scheme for the modelling of two-phase Newtonian flows. The companion paper, herein referred to as Part 2, extends the scheme to two-phase viscoelastic flows. The particular problem of the collapse of a two-dimensional bubble in the vicinity of a rigid boundary is considered. The governing equations are discretized using the spectral element method, and the two phases are modelled using a marker particle method. The marker particle scheme is validated using the Zalesak slotted disk rotation test problem. A comprehensive set of results is presented for the problem of bubble collapse near a rigid wall, and qualitative agreement is obtained with other numerical studies and experimental observations. Viscous effects are shown to inhibit bubble collapse and prevent jet formation and are therefore likely to have a mitigating effect on cavitation damage.Copyright © 2011 John Wiley & Sons, Ltd.