An efficient method for the prediction of the motion of individual bubbles. (English) Zbl 1103.76380

Summary: We present a method for the simulation of two-phase flows which can be applied to problems characterised by the presence of up to several hundreds of gas bubbles. The bubble model is kept simple, requiring only six parameters to describe the shape of a single bubble. The model is coupled to a conventional time discrete finite-volume scheme for the solution of the Navier–Stokes equations by the density field which is calculated on basis of the information on the positions and the shapes of the bubbles before each time step. The motion of the bubbles is in turn calculated from an analysis of the computed flow field. Systematical errors due to simplifications are eliminated by the introduction of correction factors. For a selection of fluid dynamical problems, the results of simulations using the method are compared to experimental data. Good quantitative agreement could be found.


76T10 Liquid-gas two-phase flows, bubbly flows
76F65 Direct numerical and large eddy simulation of turbulence
Full Text: DOI


[1] DOI: 10.1090/S0025-5718-1968-0242392-2
[2] Durst F., Theorie und Praxis der Laser–Doppler-Anemometrie (1987)
[3] DOI: 10.1017/S0022112098003176 · Zbl 0934.76090
[4] DOI: 10.1017/S0022112099004310 · Zbl 0945.76087
[5] DOI: 10.1063/1.857955 · Zbl 0825.76334
[6] Göz M.F., High Performance Scientific and Engineering Computing (2002)
[7] Grace J.R., Trans. Inst. Chem. Eng. 54 pp 167– (1976)
[8] DOI: 10.1016/0021-9991(81)90145-5 · Zbl 0462.76020
[9] Landau L.D., Lehrbuch der Theoretischen Physik IV: Hydrodynamik, 2. ed. (1971)
[10] Laurien E., Proceedings of the Annual Meeting on Nuclear Technology 2002, Bonn (2002)
[11] DOI: 10.1063/1.858280
[12] Lucic A., In Proceedings of the 2nd International Conference on Computational Heat and Mass Transfer pp 287– (2001)
[13] DOI: 10.1017/S0022112096007379 · Zbl 0882.76029
[14] DOI: 10.1016/S0169-5983(96)00042-1
[15] Sabisch, W., Wörner, M., Grötzbach, C. and Cacuci, D.C. ”3D volume of fluid simulation of a wobbling bubble in a gas–liquid system of low Morton number”. Edited by: Michaelides. Proc. of the 4. ICMF, New Orleans, USA
[16] DOI: 10.1016/0009-2509(94)00289-4
[17] DOI: 10.1016/S0009-2509(98)00420-5
[18] Tomiyama A., JSME Int. J. 36 pp 51– (1993)
[19] DOI: 10.1016/S0029-5493(97)00164-7
[20] DOI: 10.1006/jcph.2001.6726 · Zbl 1047.76574
[21] DOI: 10.1002/aic.690120506
[22] Xu J., J. Fluid Mech. 408 pp 271– (2002)
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.