A 2D+T VOF fully coupled formulation for the calculation of breaking free-surface flow

We present the results of simulations obtained with a free-surface flow solver based on the following method. The free surface is simulated by the “volume-of-fluid” interface capturing method. This code solves the Navier–Stokes equations using a finite-volume method adapted to a structured or unstructured mesh. The system is constructed using a fully coupled approach. This global approach allows the simulation of complex flow as a breaking or merging wave. Moreover, with the use of a 2D+T decomposition, it is possible to simulate three-dimensional steady flow.

[1]  F. Harlow,et al.  Numerical Calculation of Time‐Dependent Viscous Incompressible Flow of Fluid with Free Surface , 1965 .

[2]  C. Rhie,et al.  Numerical Study of the Turbulent Flow Past an Airfoil with Trailing Edge Separation , 1983 .

[3]  Joseph B. Keller,et al.  Standing surface waves of finite amplitude , 1960, Journal of Fluid Mechanics.

[4]  S. Koshizuka.  A particle method for incompressible viscous flow with fluid fragmentation , 1995 .

[5]  C. Rhie,et al.  A numerical study of the turbulent flow past an isolated airfoil with trailing edge separation , 1982 .

[6]  C. W. Hirt,et al.  Volume of fluid (VOF) method for the dynamics of free boundaries , 1981 .

[7]  E. Puckett,et al.  A High-Order Projection Method for Tracking Fluid Interfaces in Variable Density Incompressible Flows , 1997 .

[8]  A. Gosman,et al.  High resolution NVD differencing scheme for arbitrarily unstructured meshes , 1999 .

[9]  C. K. Thornhill,et al.  Part IV. An experimental study of the collapse of liquid columns on a rigid horizontal plane , 1952, Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences.

[10]  Joel H. Ferziger,et al.  Computational methods for fluid dynamics , 1996 .

[11]  O. Ubbink.  Numerical prediction of two fluid systems with sharp interfaces , 1997 .

[12]  Xavier Vasseur.  Etude numerique de techniques d'acceleration de convergence lors de la resolution des equations de navier-stokes en formulation decouplee ou fortement couplee , 1998 .