Abstract
Based on the benchmark results in Hysing et al (Int J Numer Methods Fluids 60(11):1259–1288, 2009) for a 2D rising bubble, we present the extension towards 3D providing test cases with corresponding reference results, following the suggestions in Adelsberger et al (Proceedings of the 11th world congress on computational mechanics (WCCM XI), Barcelona, 2014). Additionally, we include also an axisymmetric configuration which allows 2.5D simulations and which provides further possibilities for validation and evaluation of numerical multiphase flow components and software tools in 3D.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
S. Hysing, S. Turek, D. Kuzmin, N. Parolini, E. Burman, S. Ganesan, L. Tobiska, Quantitative benchmark computations of two-dimensional bubble dynamics. Int. J. Numer. Methods Fluids 60(11), 1259–1288 (2009)
K. Bäumler, Simulation of single drops with variable interfacial tension, Ph.D. thesis, Friedrich-Alexander-Universität Erlangen-Nürnberg, 2014
J. Adelsberger, P. Esser, M. Griebel, S. Groß, M. Klitz, A. Rttgers, 3D incompressible two-phase flow benchmark computations for rising droplets, in Proceedings of the 11th World Congress on Computational Mechanics (WCCM XI), Barcelona, 2014
S. Turek, O. Mierka, S. Hysing, D. Kuzmin, Numerical study of a high order 3D FEM-Level Set approach for immiscible flow simulation, in Computational Methods in Applied Sciences, ed. by S. Repin, T. Tiihonen, T. Tuovinen (Springer, Dordrecht, 2013), pp. 65–91
Acknowledgements
The financial support of DFG (SPP 1740) is gratefully acknowledged (TU 102/53-1). The computations have been carried out on the LiDOng cluster at TU Dortmund University. We would like to thank the LiDOng cluster team for their help and support.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2019 Springer Nature Switzerland AG
About this paper
Cite this paper
Turek, S., Mierka, O., Bäumler, K. (2019). Numerical Benchmarking for 3D Multiphase Flow: New Results for a Rising Bubble. In: Radu, F., Kumar, K., Berre, I., Nordbotten, J., Pop, I. (eds) Numerical Mathematics and Advanced Applications ENUMATH 2017. ENUMATH 2017. Lecture Notes in Computational Science and Engineering, vol 126. Springer, Cham. https://doi.org/10.1007/978-3-319-96415-7_54
Download citation
DOI: https://doi.org/10.1007/978-3-319-96415-7_54
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-96414-0
Online ISBN: 978-3-319-96415-7
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)