Surface Roller Model for the Numerical Simulation of Spilling Wave Breaking over Constant Slope Beach

Author(s):  
Athanassios A. Dimas ◽  
Aggelos S. Dimakopoulos
Author(s):  
Aggelos S. Dimakopoulos ◽  
Athanassios A. Dimas

The numerical simulation of the two-dimensional free-surface flow resulting from the propagation of nonlinear gravity waves over constant-slope bottom is presented. The simulation is based on the numerical solution of the Euler equations subject to the fully nonlinear free-surface boundary conditions and the appropriate bottom, inflow and outflow conditions using a hybrid finite-differences and spectral-method scheme. Wave breaking is accounted for by a surface roller model. The formulation includes a boundary-fitted transformation and is suitable for future extension to incorporate large-eddy and large-wave simulation terms. Results are presented for the simulation of the free-surface flow over two different bottom topographies, with constant slope values of 1:10 and 1:50, and three different inflow wave heights. Over the bottom slope, waves of small wave heights are modified according to linear theory. For nonlinear waves, wavelengths are becoming shorter, the free surface elevation deviates from its initial sinusoidal shape and wave heights increase with decreasing depth. Breaking is observed for the cases with the larger initial wave height and the smaller outflow depth.


2006 ◽  
Vol 120 (5) ◽  
pp. 3382-3382
Author(s):  
Xuemei Chen ◽  
Steven L. Means ◽  
Bill G. Szymczak ◽  
Joel C. W. Rogers

Author(s):  
Kai Yu ◽  
Hamn-Ching Chen ◽  
Jang Whan Kim ◽  
Young-Bum Lee

Impact pressure due to sloshing is of great concern for the ship owners, designers and builders of the LNG carriers regarding the safety of LNG containment system and hull structure. Sloshing of LNG in a partially filled tank has been an active area of research with numerous experimental and numerical investigations over the past decade. In order to accurately predict the sloshing impact load, it is necessary to develop advanced numerical simulation tools which can provide accurate resolution of local flow phenomena including wave breaking, jet formation, gas entrapping and liquid-gas interactions. In the present study, a new numerical method is developed for the simulation of violent sloshing flow inside a three-dimensional LNG tank considering wave breaking and liquid-gas interaction. The sloshing flow inside a membrane-type LNG tank is simulated numerically using the Finite-Analytic Navier-Stokes (FANS) method. The governing equations for two-phase air and water flows are formulated in curvilinear coordinate system and discretized using the finite-analytic method on a non-staggered grid. Simulations were performed for LNG tank in transverse and longitudinal motions including horizontal, vertical, and rotational motions. The predicted impact pressures were compared with the corresponding experimental data. The validation results clearly illustrate the capability of the present two-phase FANS method for accurate prediction of impact pressure in sloshing LNG tank including violent free surface motion, three-dimensional instability and air trapping effects.


1999 ◽  
Vol 15 ◽  
pp. 315-320
Author(s):  
Hitoshi GOTOH ◽  
Tetsuo SAKAI ◽  
Kazuya OKI

2007 ◽  
Vol 56 (5) ◽  
pp. 2769
Author(s):  
Lei Ting ◽  
Tu Cheng-Hou ◽  
Li En-Bang ◽  
Li Yong-Nan ◽  
Guo Wen-Gang ◽  
...  

Sign in / Sign up

Export Citation Format

Share Document