Solitary wave run up and overtopping by a semi-implicit finite-volume shallow-water Boussinesq model;Front et déversement d'une onde solitaire calculés avec un modèle de Boussinesq en eau peu profonde et une méthode semi implicite en volumes finis

Journal of Hydraulic Research

Volumn 41, Issue 6, 2003, Pages 639-647

  Stansby, Peter K ^a  

^a UNIVERSITY OF MANCHESTER   (United Kingdom)

Author keywords

Finite volume; Model; Runup; Shallow water; Solitary wave

Indexed keywords

FINITE VOLUME METHOD; NONLINEAR EQUATIONS; WATER;

PRESSURE GRADIENT;

HYDRAULICS;

BOUSSINESQ EQUATION; FINITE VOLUME TECHNIQUE; SHALLOW WATER; SOLITARY WAVE; WAVE BREAKING; WAVE RUNUP;

BOUSSINESQ EQUATION; FINITE VOLUME METHOD; SHALLOW WATER; SOLITARY WAVE; WAVE BREAKING; WAVE RUNUP;

EID: 0346401548     PISSN: 00221686     EISSN: None     Source Type: Journal    
DOI: 10.1080/00221680309506896     Document Type: Article

References (21)

1. BELLOTTI, G. and BROCCHINI, M. (2001). "On the Shoreline Boundary Conditions for Boussinesq-Type Models," Int. J. Numer. Methods in Fluids, 37, 479-500.
2. BROCCHINI, M., BERNETTI, R., MANCINELLI, A. and ALBERTINI, G. (2001). "An Efficient Solver for Nearshore Flows based on the WAF Method," Coastal Engrg., 43, 105-129.
3. CASULLI, V. and CATTANI, E. (1994). "Stability, Accuracy and Efficiency of a Semi-Implicit Method for Three-Dimensional Shallow-Water Flow," Comput. Math. Applic., 27, 99-112.
4. DODD, N. (1998). "Numerical Model of Wave Run-Up, Overtopping and Regeneration," J. Wtrwy., Port, Coast. and Oc. Engrg. ASCE, 124, 73-81.
5. GRILLI, S.T., SVENDSEN, I.A. and SUBRAMANYA, R. (1997). "Breaking Criterion and Characteristics for Solitary Waves on Slopes," J. Wtrway., Port, Coast., and Oc. Engrg. ASCE, 374, 1-28.
6. HALL, J.V. and WATTS, J.W. (1953). Laboratory investigation of the vertical rise of solitary waves on impermeable slopes. Tech. Memo. 33, Beach Erosion Board, US Army Corps of Engineers.
7. HIBBERD, S. and PEREGRINE, D.H. (1979). "Surf and Runup on a Beach: A Uniform Bore," J. Fluid Mech., 95, 323-345.
8. Hu, K., MINGHAM, C.G. and CAUSON, D.M. (2000). "Numerical Simulation of Wave Overtopping of Coastal Structures Using the Nonlinear Shallow-Water Equations," Coastal Engrg., 41, 433-465.
9. LAITONE, E.V. (1961). "The Second Approximation to Cnoidal and Solitary Waves," J. Fluid Mech., 9, 430-444.
10. LIN, P. and Liu, P.L.-F. (1998). "A Numerical Study of Breaking Waves in the Surf Zone," J. Fluid Mech., 359, 239-264.
11. LONGUET-HIGGINS, M.S. and COKELET, E.D. (1976). "The Deformation of Steep Surface Waves on Water, I: A Numerical Method of Computation," Proc. Roy. Soc., London, A350, 1-26.
12. MADSEN, P.A. and SCHAFFER, H.A. (1998). "Higher-Order Boussinesq-Type Equations for Surface Gravity Waves: Derivation and Analysis," Phil. Trans. Roy. Soc. London, Ser. A, 356, 3123-3184.
13. MADSEN, P.A. and SORENSEN, O.R. (1992). "A New Form of the Boussinesq Equations with Improved Linear Dispersion Characteristics. Part 2. A Slowly Varying Bathymetry," Coastal Engrg., 18, 183-204.
14. MADSEN, P.A., SORENSEN, O.R. and SCHAFFER, H.A. (1997). "Surf Zone Dynamics Simulated by a Boussinesq Type Model. Part I. Model Description and Cross-Shore Motion of Regular Waves," Coastal Engrg., 32, 255-287.
15. PEREGRINE, D.H. (1967). "Long Waves on a Beach," J. Fluid Mech., 27, 815-827.
16. NWOGU, O. (1993). "Alternative form of Boussinesq Equations for Nearshore Wave Propagation," J. Wtrwy., Port, Coast., and Oc. Engrg. ASCE, 119, 618-638.
17. STANSBY, P.K. (2001). "Solitary Wave Runup by a Shallow-Water Boussinesq Model," Proc. 3rd Int. Symp. on Environmental Hydraulics, Tempe, Arizona.
18. SYNOLAKIS, C.E. (1987). "The Runup of Solitary Waves," J. Fluid Mech., 185, 523-545.
19. TITOV, V.V. and SYNOLAKIS, C.E. (1995). "Modelling of Breaking and Nonbreaking Long-Wave Evolution and Runup using VTCS-2," J. Wtrwy., Port, Coast., and Oc. Engrg. ASCE, 121, 308-316.
20. VEERAMONY, J. and SVENDSEN, I.A. (2000). "The Flow in Surf-Zone Waves," Coastal Engrg., 39, 93-122.
21. WEI, G. and KIRBY, J.T. (1995). "A Time-Dependent Numerical Code for Extended Propagation Boussinesq Equations," J. Wtrwy., Port, Coast., and Oc. Engrg. ASCE, 120, 251-261.