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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Vydané v:	International journal for numerical methods in fluids Ročník 60; číslo 11; s. 1259 - 1288
Hlavní autori:	Hysing, S., Turek, S., Kuzmin, D., Parolini, N., Burman, E., Ganesan, S., Tobiska, L.
Médium:	Journal Article
Jazyk:	English
Vydavateľské údaje:	Chichester, UK John Wiley & Sons, Ltd 20.08.2009 Wiley
Predmet:	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
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Popis
Shrnutí:	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.
Bibliografia:	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 ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 23 ObjectType-Article-2 ObjectType-Feature-1
ISSN:	0271-2091 1097-0363 1097-0363
DOI:	10.1002/fld.1934