Numerical simulation of improved Boussinesq equations by a finite element method

Journal of Hydrodynamics

Volumn 15, Issue 4, 2003, Pages 31-40

  Zhao, Ming ^a   Teng, Bin ^a   Liu, Shu Xue ^a  

^a DALIAN UNIVERSITY OF TECHNOLOGY   (China)

Author keywords

Boussinesq equations; Finite element method; Numerical simulation

Indexed keywords

COMPUTER SIMULATION; DISPERSION (WAVES); FINITE ELEMENT METHOD; INTEGRATION; WATER;

BOUSSINESQ EQUATION; LINEAR DISPERSIVE PROPERTIES; NUMERICAL SIMULATION; WAVE MODELS;

WAVE PROPAGATION;

EID: 1242310450     PISSN: 10016058     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (13)

1. BEJI S. and NADAOKA K. A formal derivation and numerical modeling of the improved Boussinesq equations for varying depth [J]. Ocean Eng., 1996, 23(8): 691-704.
2. PEREGRINE D. H. Long waves on a beach [J]. J. Fluid Mech., 1967, 27: 815-827.
3. WITTING J. M. A unified model for the evolution of nonlinear water waves [J]. J. Comput. Phys., 1984, 56: 203-236.
4. MADSEN P. A. and SORENSEN O. R. A new form of the Boussinesq equations with improved linear dispersion characteristics, Part 2. A slowly-varying bathymetry [J]. Coastal Eng., 1992, 18: 183-204.
5. NWOGU O. An alternative form of the Boussinesq equations for near shore wave propagation [J]. J. Wtrwy. Port Coast. and Oc. Engrg., 1993, 119(6): 618-638.
6. ABBOTT M. B., MCCOWAN A. D., WARREN I. R. Accuracy of short wave numerical model [J]. J. Hydr. Eng., 1984, 110(10): 1287-1301.
7. WEI G, KIRBY T. Time-dependent numerical code for extended Boussinesq equations [J]. J. Wtrwy. Port Coast. Oc. Eng., ASCE, 1995, 121(5): 251-261.
8. LI Y. S., LIU S. X., YU Y. X. and LAI G. Z. Numerical modeling of Boussinesq equations by finite element method [J]. Coastal Eng., 1999, 37. 97-122.
9. LARSEN J., DANCY H. Open boundaries in short wave simulation - a new approach [J]. Coastal Eng., 1983, 7(3): 285-297.
10. WHALIN R. W. The limit of applicability of linear wave refraction theory in a convergence zone [R]. USA, Army Corps of Engrs, Waterways Expt. Station, Vicksburg, M. S., Res. Rep., H-71-3, 1971.
11. RYGG O. B. Nonlinear refraction-diffraction of surface waves in intermediate and shallow water [J]. Coastal Eng., 1988, 12: 191-211.
12. BERKHOFF J. C. W., BOOY N. and RADDER A. C. Verification of numerical wave propagation models for simple harmonic linear water waves [J]. Coastal Eng., 1982, 6(13): 255-279.
13. ISAACSON M. de St. O. Wave run up around large circular cylinder [J]. J. Wtrwy Port Coast. Oc. Division, ASCE, 1978, 104(1): 69-79.