Modelling of run up of steep non-breaking waves by fluent

Abstract A Navier–Stokes solver is used to examine steep waves as they run up a steep beach (10.54°). The volume of fluid method (VOF) is used to model the free surface. Comparison with experimental results shows reasonable overall agreement in the prediction of the free-surface, velocities and accelerations within the flow. A spurious feature at the free-surface was found which does reduce the quality of the results. For a steep wave we see the transition from a steep wave front to a smooth run-up tongue at the beach that is in qualitative agreement with experiment.

[1]  J. Kirby,et al.  Dynamics of surf-zone turbulence in a strong plunging breaker , 1995 .

[2]  R. E. Meyer,et al.  Climb of a bore on a beach Part 3. Run-up , 1963, Journal of Fluid Mechanics.

[3]  Stéphane Zaleski,et al.  TWO-DIMENSIONAL NAVIER-STOKES SIMULATION OF BREAKING WAVES , 1996, comp-gas/9605002.

[4]  Fredric Raichlen,et al.  A Lagrangian model for wave-induced harbour oscillations , 1990, Journal of Fluid Mechanics.

[5]  Geir Pedersen,et al.  Run-up of solitary waves , 1983, Journal of Fluid Mechanics.

[6]  Atle Jensen,et al.  An experimental study of wave run-up at a steep beach , 2003, Journal of Fluid Mechanics.

[7]  D. H. Peregrine,et al.  Surf and run-up on a beach: a uniform bore , 1979, Journal of Fluid Mechanics.

[8]  Shlomo Nir,et al.  NATO ASI Series , 1995 .

[9]  Geir Pedersen,et al.  A NUMERICAL MODEL FOR THREE‐DIMENSIONAL RUN‐UP , 1997 .

[10]  Pengzhi Lin,et al.  A numerical study of breaking waves in the surf zone , 1998, Journal of Fluid Mechanics.

[11]  J. Kirby,et al.  Dynamics of surf-zone turbulence in a spilling breaker , 1996 .

[12]  H. P. Greenspan,et al.  Water waves of finite amplitude on a sloping beach , 1958, Journal of Fluid Mechanics.

[13]  Kuang-An Chang,et al.  Runup and Rundown of Solitary Waves on Sloping Beaches , 1999 .

[14]  S. Patankar.  Numerical Heat Transfer and Fluid Flow , 2018, Lecture Notes in Mechanical Engineering.

[15]  Pengzhi Lin,et al.  A Numerical Model for Breaking Waves: The Volume of Fluid Method. , 1997 .

[16]  Zygmunt Kowalik,et al.  Numerical simulation of two‐dimensional tsunami runup , 1993 .

[17]  G. B. Whitham,et al.  Motion of a bore over a sloping beach , 1960, Journal of Fluid Mechanics.

[18]  Costas E. Synolakis,et al.  The runup of solitary waves , 1987, Journal of Fluid Mechanics.

[19]  Pengzhi Lin,et al.  Turbulence transport, vorticity dynamics, and solute mixing under plunging breaking waves in surf zone , 1998 .

[20]  Helge Johnsgard.  A numerical model for run‐up of breaking waves , 1999 .