Implicit Methods for Simulating Low Reynolds Number Free Surface Flows: Improvements on MAC-Type Methods

2014 ◽  
pp. 123-139 ◽  
Author(s):  
José A. Cuminato ◽  
Cassio M. Oishi ◽  
Rafael A. Figueiredo
Keyword(s):  
Reynolds Number ◽  
Free Surface ◽  
Low Reynolds Number ◽  
Free Surface Flows ◽  
Implicit Methods ◽  
Surface Flows ◽  
Low Reynolds

An implicit technique for solving 3D low Reynolds number moving free surface flows

2008 ◽  
Vol 227 (16) ◽  
pp. 7446-7468 ◽  
Author(s):  
Cassio M. Oishi ◽  
Murilo F. Tomé ◽  
José A. Cuminato ◽  
Sean McKee
Keyword(s):  
Reynolds Number ◽  
Free Surface ◽  
Low Reynolds Number ◽  
Free Surface Flows ◽  
Surface Flows ◽  
Low Reynolds

The thermal signature of a low Reynolds number submerged turbulent jet impacting a free surface

2008 ◽  
Vol 20 (11) ◽  
pp. 115102 ◽  
Author(s):  
K. Peter Judd ◽  
Geoffrey B. Smith ◽  
Robert A. Handler ◽  
Ankur Sisodia
Keyword(s):  
Reynolds Number ◽  
Free Surface ◽  
Low Reynolds Number ◽  
Turbulent Jet ◽  
Low Reynolds ◽  
Thermal Signature

The low-Reynolds number spreading of axisymmetric drops and gravity currents along a free surface

1998 ◽  
Vol 10 (11) ◽  
pp. 3011-3013 ◽  
Author(s):  
Chad W. Dorsey ◽  
Michael Manga
Keyword(s):  
Reynolds Number ◽  
Free Surface ◽  
Low Reynolds Number ◽  
Gravity Currents ◽  
Low Reynolds

Implicit methods for two-dimensional unsteady free-surface flows

1989 ◽  
Vol 27 (3) ◽  
pp. 321-332 ◽  
Author(s):  
Robert J. Fennema ◽  
M. Hanif Chaudhry
Keyword(s):  
Free Surface ◽  
Free Surface Flows ◽  
Two Dimensional ◽  
Implicit Methods ◽  
Surface Flows

scholarly journals Low-Reynolds-number rising of a bubble near a free surface at vanishing Bond number

2016 ◽  
Vol 28 (6) ◽  
pp. 063102 ◽  
Author(s):  
Marine Guémas ◽  
Antoine Sellier ◽  
Franck Pigeonneau
Keyword(s):  
Reynolds Number ◽  
Free Surface ◽  
Low Reynolds Number ◽  
Bond Number ◽  
Low Reynolds

Hydraulic jumps in a shallow flow down a slightly inclined substrate

2015 ◽  
Vol 782 ◽  
pp. 5-24 ◽  
Author(s):  
E. S. Benilov
Keyword(s):  
Reynolds Number ◽  
Free Surface ◽  
Free Surface Flows ◽  
Hydraulic Jumps ◽  
Two Dimensional ◽  
Dimensional Parameter ◽  
Surface Flows ◽  
Asymptotic Equations ◽  
Two Dimensional Flow ◽  
Existence Criterion

This work examines free-surface flows down an inclined substrate. The slope of the free surface and that of the substrate are both assumed small, whereas the Reynolds number $Re$ remains unrestricted. A set of asymptotic equations is derived, which includes the lubrication and shallow-water approximations as limiting cases (as $Re\rightarrow 0$ and $Re\rightarrow \infty$, respectively). The set is used to examine hydraulic jumps (bores) in a two-dimensional flow down an inclined substrate. An existence criterion for steadily propagating bores is obtained for the $({\it\eta},s)$ parameter space, where ${\it\eta}$ is the bore’s downstream-to-upstream depth ratio, and $s$ is a non-dimensional parameter characterising the substrate’s slope. The criterion reflects two different mechanisms restricting bores. If $s$ is sufficiently large, a ‘corner’ develops at the foot of the bore’s front – which, physically, causes overturning. If, in turn, ${\it\eta}$ is sufficiently small (i.e. the bore’s relative amplitude is sufficiently large), the non-existence of bores is caused by a stagnation point emerging in the flow.

scholarly journals Low-Reynolds-number gravity-driven migration and deformation of bubbles near a free surface

2011 ◽  
Vol 23 (9) ◽  
pp. 092102 ◽  
Author(s):  
Franck Pigeonneau ◽  
Antoine Sellier
Keyword(s):  
Reynolds Number ◽  
Free Surface ◽  
Low Reynolds Number ◽  
Gravity Driven ◽  
Low Reynolds
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