Quantitative benchmark computations of two-dimensional bubble dynamics

Benchmark configurations for quantitative validation and comparison of incompressible interfacial flow codes, which model two‐dimensional bubbles rising in liquid columns, are proposed. The benchmark quantities: circularity, center of mass, and mean rise velocity are defined and measured to monitor...

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Bibliographic Details
Published in:International journal for numerical methods in fluids Vol. 60; no. 11; pp. 1259 - 1288
Main Authors: Hysing, S., Turek, S., Kuzmin, D., Parolini, N., Burman, E., Ganesan, S., Tobiska, L.
Format: Journal Article
Language:English
Published: Chichester, UK John Wiley & Sons, Ltd 20.08.2009
Wiley
Subjects:
ALE
Benchmarking
Bubbles
Computational fluid dynamics
Computational methods in fluid dynamics
Drops and bubbles
Exact sciences and technology
finite-element method
Fluid dynamics
Fluid flow
Fundamental areas of phenomenology (including applications)
level set method
Mathematical models
Monitors
multiphase flow
Nonhomogeneous flows
Numerical analysis
numerical simulation
Physics
rising bubble
Two dimensional
Geometrical shape
Euler Lagrange equation
Computational fluid dynamics
benchmarking
Bubble ascent
Digital simulation
Computation code
Boundary conditions
finite-element method
Finite element method
Bubbles
rising bubble
level set method
multiphase flow
Modelling
ALE
Incompressible fluid
numerical simulation
Navier-Stokes equations
ISSN:0271-2091, 1097-0363, 1097-0363
Online Access:Get full text
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Summary:Benchmark configurations for quantitative validation and comparison of incompressible interfacial flow codes, which model two‐dimensional bubbles rising in liquid columns, are proposed. The benchmark quantities: circularity, center of mass, and mean rise velocity are defined and measured to monitor convergence toward a reference solution. Comprehensive studies are undertaken by three independent research groups, two representing Eulerian level set finite‐element codes and one representing an arbitrary Lagrangian–Eulerian moving grid approach. The first benchmark test case considers a bubble with small density and viscosity ratios, which undergoes moderate shape deformation. The results from all codes agree very well allowing for target reference values to be established. For the second test case, a bubble with a very low density compared to that of the surrounding fluid, the results for all groups are in good agreement up to the point of break up, after which all three codes predict different bubble shapes. This highlights the need for the research community to invest more effort in obtaining reference solutions to problems involving break up and coalescence. Other research groups are encouraged to participate in these benchmarks by contacting the authors and submitting their own data. The reference data for the computed benchmark quantities can also be supplied for validation purposes. Copyright © 2008 John Wiley & Sons, Ltd.
Bibliography:ArticleID:FLD1934
Paketantrag PAK178 - No. Tu102/27-1; No. Ku1530/5-1
Swiss National Science Foundation - No. 112166
istex:C2490CF73FB6B954122EA9004F2433A71934FC07
Sonderforschungsbereich SFB708 - No. TP B7
German Research foundation (DFG) - No. To143/9
SFB TR R30 - No. TPC3
ark:/67375/WNG-BSX2SQQ3-V
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ISSN:0271-2091
1097-0363
1097-0363
DOI:10.1002/fld.1934