Dynamics of a creeping Newtonian jet with gravity and surface tension: A finite difference technique for solving steady free-surface flows using orthogonal curvilinear coordinates

AIChE Journal ◽  
1982 ◽  
Vol 28 (2) ◽  
pp. 220-232 ◽  
Author(s):  
Anit Dutta ◽  
M. E. Ryan
Keyword(s):  
Surface Tension ◽  
Free Surface ◽  
Finite Difference ◽  
Free Surface Flows ◽  
Curvilinear Coordinates ◽  
Surface Flows ◽  
Finite Difference Technique ◽  
Orthogonal Curvilinear Coordinates

A finite difference technique for simulating unsteady viscoelastic free surface flows

2002 ◽  
Vol 106 (2-3) ◽  
pp. 61-106 ◽  
Author(s):  
M.F. Tomé ◽  
N. Mangiavacchi ◽  
J.A. Cuminato ◽  
A. Castelo ◽  
S. McKee
Keyword(s):  
Free Surface ◽  
Finite Difference ◽  
Free Surface Flows ◽  
Surface Flows ◽  
Finite Difference Technique

A time-splitting method on a nonstaggered grid in curvilinear coordinates for implicit simulation of non-hydrostatic free-surface flows

2007 ◽  
Vol 34 (1) ◽  
pp. 99-106 ◽  
Author(s):  
M Javan ◽  
M M Namin ◽  
S A.A. Salehi Neyshabouri
Keyword(s):  
Free Surface ◽  
Moving Boundary ◽  
Control Volume ◽  
Splitting Method ◽  
Free Surface Flows ◽  
Curvilinear Coordinates ◽  
Surface Boundary ◽  
Surface Flows ◽  
Free Surface Boundary Condition ◽  
Time Splitting

The numerical solution of flows with a freely moving boundary is of great importance in practical application such as ship hydrodynamics. Details are given of the development of a two-dimensional vertical numerical model for simulating unsteady and steady free-surface flows on a nonstaggered grid in curvilinear coordinates, using a non-hydrostatic pressure distribution. In this model, Reynolds equation and the kinematic free-surface boundary condition are solved simultaneously, so that the water-surface elevation can be integrated into the solution and solved for, together with the velocity and pressure field. In computational space, the Cartesian velocity components and the pressure are defined at the center of a control volume, while the volume fluxes are defined at the midpoint on their corresponding cell faces. Detailed numerical results are presented for the wave generation above an obstacle and resonant motion standing wave. The results show that the numerical algorithm described is able to produce accurate predictions and is also easy to apply.Key words: free-surface simulation, nonstaggered grid, time-splitting method, unsteady flow, turbulent flow.

scholarly journals Free surface flows over a successive obstacles with surface tension and gravity effects

2019 ◽  
Vol 4 (2) ◽  
pp. 316-326 ◽  
Author(s):  
Abdelkader Laiadi ◽  
◽  
Abdelkrim Merzougui ◽  
Keyword(s):  
Surface Tension ◽  
Free Surface ◽  
Free Surface Flows ◽  
Surface Flows ◽  
Gravity Effects
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