A finite volume—level set method for free surface viscous flows around ships

2001 ◽  
pp. 810-813
Author(s):  
A. Cura Hochbaum ◽  
M. Vogt
Keyword(s):  
Free Surface ◽  
Level Set Method ◽  
Finite Volume ◽  
Level Set ◽  
Viscous Flows ◽  
Volume Level

A finite-volume/level-set method for simulating two-phase flows on unstructured grids

2014 ◽  
Vol 64 ◽  
pp. 55-72 ◽  
Author(s):  
Néstor Balcázar ◽  
Lluís Jofre ◽  
Oriol Lehmkuhl ◽  
Jesús Castro ◽  
Joaquim Rigola
Keyword(s):  
Level Set Method ◽  
Finite Volume ◽  
Level Set ◽  
Unstructured Grids ◽  
Two Phase Flows ◽  
Two Phase ◽  
Volume Level

Numerical Simulation of Breaking Waves Using a Level Set Method

2002 ◽  
Author(s):  
Pablo Go´mez ◽  
Julio Herna´ndez ◽  
Joaqui´n Lo´pez ◽  
Fe´lix Faura
Keyword(s):  
Free Surface ◽  
Level Set Method ◽  
Level Set ◽  
Stokes Equations ◽  
Numerical Study ◽  
Operating Conditions ◽  
Breaking Wave ◽  
Level Set Function ◽  
Set Function ◽  
The Impact

A numerical study of the initial stages of wave breaking processes in shallow water is presented. The waves considered are assumed to be generated by moving a piston in a two-dimensional channel, and may appear, for example, in the injection chamber of a high-pressure die casting machine under operating conditions far from the optimal. A numerical model based on a finite-difference discretization of the Navier-Stokes equations in a Cartesian grid and a second-order approximate projection method has been developed and used to carry out the simulations. The evolution of the free surface is described using a level set method, with a reinitialization procedure of the level set function which uses a local grid refinement near the free surface. The ability of different algorithms to improve mass conservation in the reinitialization step of the level set function has been tested in a time-reversed single vortex flow. The results for the breaking wave profiles show the flow characteristics after the impact of the first plunging jet onto the wave’s forward face and during the subsequent splash-up.

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