Simulation of waves group propagation and breaking in coastal zone using a Navier-Stokes solver with an improved VOF free surface treatment

Applied Ocean Research

Volumn 30, Issue 2, 2008, Pages 130-143

  Ketabdari, M J ^a   Nobari, M R H ^a   Moradi Larmaei, M ^a  

^a AMIRKABIR UNIVERSITY OF TECHNOLOGY   (Iran)

Author keywords

Advection; Long period oscillation; Set down; Volume of fluid; Wave breaking; Waves groups

Indexed keywords

COASTAL ENGINEERING; COASTAL ZONES; EARTH ATMOSPHERE; EQUATIONS OF MOTION; FUNCTION EVALUATION; NUMERICAL ANALYSIS; OCEAN CURRENTS; OCEANOGRAPHY; POINT GROUPS; SURFACE TREATMENT; TESTING; TURBULENCE; TWO DIMENSIONAL; UPPER ATMOSPHERE;

BREAKING POINTS; BREAKING PROCESSES; DRIVEN CAVITIES; EXPERIMENTAL DATUMS; FINITE VOLUMES; FLUID FLOWS; FREE WATER SURFACES; FUNCTION EQUATIONS; GOVERNING EQUATIONS; LONG PERIOD OSCILLATION; LONG WAVES; MODIFIED MODELS; NUMERICAL MODELS; NUMERICAL RESULTS; PHYSICAL PROCESSES; PISO ALGORITHMS; SET-DOWN; TURBULENCE EFFECTS; TURBULENT PATTERNS; TWO EQUATIONS; UNIVERSITY OF TECHNOLOGIES; UPPER BOUNDARIES; VOF METHODS; VOLUME OF FLUID; WATER DEPTHS; WATER SURFACES; WAVE EVOLUTIONS; WAVE MOTIONS; WIND WAVES;

NAVIER STOKES EQUATIONS;

ADVECTION; COASTAL ZONE; FLUID FLOW; NAVIER-STOKES EQUATIONS; NUMERICAL MODEL; TURBULENCE; WAVE BREAKING; WAVE PROPAGATION; WIND WAVE;

EID: 55349097459     PISSN: 01411187     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.apor.2008.08.005     Document Type: Article

References (52)

1. Moradi Larmaei M. Simulation of waves groups propagation and breaking in medium water depth using VOF method. M.Sc. thesis (Distinct). Iran: Amirkabir University of Technology; 2006
2. Goda Y. Random sea and design of maritime structures (1985), Univ. of Tokyo press
3. Funke ER, Mansard EPD. On the synthesis of realistic sea states in a laboratory flume. Lab. tech. rept., rept. no. LTR-HY-66. Canada: Division of Mechanical Eng; 1979
4. Kerabdari MJ. Simulation of waves groups, Dangerous sea waves. In: Proc. third conference of marine industry. 2001. p. 84-93
5. Gravesen H, Sorensen T. Stability of rubble mound breakwaters. In: Proc. 23rd PIANC conf. 1977
6. Bowers E.C. Harbour resonance due to set-down beneath wave groups. J Fluid Mech 79 part 1 (1977) 71-92
7. Naess A. On experimental prediction of low frequency oscillations of moored offshore structures. Norwegian Marine Res 3 (1978) 30-37
8. Ketabdari MJ. Mechanism of vortex generation on ripple beds and its effect on sediment transport in the sea. In: Proc. ICOPMAS. 2002. p. 296-305
9. Li T., Troch P., and De Rouck J. Wave overtopping over a sea dike. J Comput Phys 198 (2004) 686-726
10. Wood D.J., Pedersen G.K., and Jensen A. Modeling of run up of steep non-breaking waves. Ocean Eng 30 (2003) 625-644
11. Wang J.G., Nogami T., Dasari G.R., and Li P.Z. A weak coupling algorithm for seabed-wave interaction analysis. Comput Methods Appl Mech Engrg 193 (2004) 3935-3956
12. Hirt C.W., and Nichols B.D. Volume of Fluid (VOF) method for the dynamics of free boundaries. J Comput Phys 39 (1981) 201-225
13. Torrey MD, Cloutman LD, Hirt CW. NASA-VOF2D: A computer program for incompressible flows with free surface. Technical report LA-10462-MS, Los Alamos Scientific Laboratory; 1985
14. Troch P., and De Rouck J. An active wave generating absorbing boundary condition for VOF type numerical model. Coastal Eng 38 (1999) 223-247
15. Rider W.J., and Kothe B.D. Reconstructing volume tracking. J Comput Phys 141 (1998) 112-152
16. Geuyffier D., Li J., Nadim A., Scardovelli R., and Zaleski S. Volume-of-fluid interface tracking with smoothed surface stress methods for three-dimensional flows. J Comput Phys 152 (1999) 423-456
17. Scardovelli R., and Zaleski S. Note: Analytical relations connecting linear interfaces and volume fractions in rectangular grids. J Comput Phys 164 (2000) 228-237
18. Harvie D.J.E., and Feletcher D.F. A new volume of fluid advection algorithm: The defined donating region scheme. Internat J Numer Methods Fluids 35 (2001) 151-172
19. Aulisa A., Manservisi S., Scardovelli R., and Zaleski S. Short note: A geometrical area-preserving volume-of-fluid advection method. J Comput Phys 192 (2003) 355-364
20. Lopez J., Hernandez J., Gomez P., and Faura F. A volume of fluid method based on multidimensional advection and spline interface reconstruction. J Comput Phys 195 (2004) 718-742
21. Kleefsman K.M.T., Fekken G., Veldman A.E.P., Iwanowski B., and Buchner B. A volume of fluid based simulation method for wave impact problems. J Comput Phys 206 (2005) 363-393
22. Guignard S., Marcer R., Rey V., Kharif C., and Fraunie P. Solitary wave breaking on sloping beaches: 2-D two phase flow numerical simulation by SL-VOF method. Eur J Mech B-Fluids 20 (2001) 57-74
23. Hieu P.D., Katsutoshi T., and Thanh C.A.V. Numerical simulation of breaking waves using a two-phase flow model. Appl Math Modelling 28 (2004) 983-1005
24. Lubin P. Larg Eddy simulation of plunging breaking waves. Ph.D. thesis, École Polytechnique. France; 2004
25. Aulisa E., Manservisi S., and Scardovelli R. A mixed marker and volume-of-fluid method for the reconstruction and advection of interfaces in two-phase and free-boundary flows. J Comput Phys 188 (2003) 611-639
26. Aulisa E., Manservisi S., and Scardovelli R. A surface marker algorithm coupled to an area-preserving marker redistribution method for three-dimensional interface tracking. J Comput Phys 197 (2004) 555-584
27. Lopez J., Hernandez J., Gomez P., and Faura F. An improved PLIC-VOF method for tracking thin fluid structures incompressible two-phase flows. J Comput Phys 208 (2005) 51-78
28. Brackbill J.U., Kothe D.B., and Zemach C. A continuum method for modeling surface tension. J Comput Phys 100 (1992) 335-354
29. Rafei R. Numerical solution of incompressible 3d turbulent flow in a spiral channel. M.Sc. thesis, Tehran (Iran, Persian): Amirkabir University of Technology; 2004
30. Li C.W., and Zang Y.F. Simulation of free surface recirculating flows in semi-enclosed water bodies by a k - ω model. Applied Mathematical Modelling 22 (1998) 153-164
31. Gao H., Gu H.Y., and Guo L.J. Numerical study of stratified oil-water two-phase turbulent flow in a horizontal tube. Int J Heat Mass Transfer 46 (2003) 749-754
32. Ren B., and Wang Y. Numerical simulation of random wave slamming on structures in the splash zone. Ocean Eng 31 (2004) 547-560
33. Shen Y.M., Ng C.O., and Zheng Y.H. Simulation of wave propagation over a submerged bar using the VOF method with a two-equation k - ε turbulence modeling. Ocean Eng 31 (2004) 87-95
34. Versteeg H.K., and Malalasekera W. An introduction to computational fluid dynamics: The finite volume method. 1st ed. (1995), Longman Scientific and Technical
35. Duff ES. Fluid flows aspects of solidification modeling: Simulation of low pressure Die casting. Ph.D. thesis. Brisbane: University of Queensland; 1999
36. Lee S.L., and Shou S.R. A new numerical formulation for incompressible viscous free surface. Int J Heat Mass Transfer 44 (2001) 1837-1848
37. Robertson I., Sherwin S.J., and Graham J.M.R. Comparison of wall boundary conditions for numerical viscous free surface flow simulation. J Fluid Struct 19 (2004) 525-542
38. Mirbagheri S.M.H., Dadashzadeh M., Serajzadeh S., Taheri A.K., and Davami P. Modeling the effect of mould wall roughness on the melt flow simulation in casting process. Appl Math Modelling 28 (2004) 933-956
39. Harvie D.J.E., and Feletcher D.F. A new volume of fluid advection algorithm: The stream scheme. J Comput Phys 162 (2000) 1-32
40. Press W.H., Teukolsky S.A., Wetterling W.T., and Flannery B.P. Numerical recipes in fortran 77: The art of scientific computing. 2nd ed. (1992), University of Cambridge
41. Ghia U., Ghia K.N., and Shin C.T. High resolution for incompressible flow using the Navier-Stokes equation and a multigrid method. J Comput Phys 48 (1982) 387-411
42. Molla V.M.G., Gonzalez J.L.M., and Zamora L.L. Use of high accuracy schemes to handle free surfaces in compting unsteady two-phase flows. Comput Method Appl Mech Engrg 162 (1998) 271-286
43. Koo H.M., and Park S.O. Extension and application of the QUICKER scheme to non-uniform rectangular grid system. Commun Appl Numer Methods 7 (1991) 111-122
44. Scardovelli R., and Zaleski S. Interface reconstruction with least-square fit and split Eulerian-Lagrangian advection. Inter J Numer Meth Fluids 41 (2003) 251-274
45. Nichols BD, Hirt CW, Hotchkiss RS. SOLA-VOF: A solution algorithm for transient fluid flow with multiple free boundaries. Technical report LA-8355. Los Alamos Scientific Laboratory; 1980
46. Kostense J.K. Measurements of surf beat and set-down beneath wave groups. Proc. 19th int. conf. on coastal eng (1984), ASCE 724-740
47. Munk W.H. Surf beats. Trans Am Geophys Union 30 6 (1949) 849-854
48. Tucker M.J. Surf beats, sea waves of 1 to 5 min. period. Proc R Soc Lond 202 (1950) 565-573
49. Katoh K, Yanagishima S. Berm erosion due to long period waves. In: Proc. 22nd ICCE. 1990. p. 2073-86
50. Katoh K, Yanagishima S. Berm formation and berm erosion. In: Proc. 23rd ICCE. 1992
51. Longuet-Higgins M.S., and Stewart R.W. Radiation stress and mass transport in gravity waves, with application to surf beats. J Fluid Mech 13 (1962) 481-504
52. Longuet-Higgins M.S., and Stewart R.W. Radiation stress in water waves, a physical discussion, with applications. Deep-sea Res 11 (1964) 529-562