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Efficient computation of the flow around single fluid particles using an artificial boundary condition
Author(s) -
Weirich D.,
Köhne M.,
Bothe D.
Publication year - 2014
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/fld.3890
Subject(s) - no slip condition , mechanics , slip (aerodynamics) , boundary value problem , computation , boundary conditions in cfd , computational fluid dynamics , reynolds number , different types of boundary conditions in fluid dynamics , flow (mathematics) , boundary (topology) , domain (mathematical analysis) , mathematics , physics , boundary layer thickness , mathematical analysis , neumann boundary condition , robin boundary condition , boundary layer , thermodynamics , turbulence , algorithm
SUMMARY Two‐phase flows around fluid particles are often considered to be in infinite domains, to avoid influence of the domain walls. Numerical simulations, however, must be modeled with a bounded domain, thus introducing artificial boundaries. Modeling of fluid flow in a domain with such artificial boundaries requires a careful choice of suitable boundary conditions. Slip boundary conditions for example can have a large impact on the computational results if the domain is chosen to be too small, because they model impermeable walls. This paper introduces an artificial boundary condition for simulations of the flow around single rising or settling fluid particles based on the approximated decay behavior of the velocity and the pressure field in the surrounding liquid. This is applied to the simulation of rising gas bubbles in systems with a Reynolds number of up to 50, and the outcome is compared with experimental results and simulations with slip boundary condition. It is found that domain size can be reduced by a factor of about two compared with slip boundary conditions without loss of accuracy. Copyright © 2014 John Wiley & Sons, Ltd.