30
Views
7
CrossRef citations to date
0
Altmetric
Original Articles

Parametric Investigation of Breaking Solitary Wave Over Fringing Reef Based on Shock-Capturing Boussinesq Model

, &
Pages 1650007-1-1650007-21 | Received 27 Jun 2015, Accepted 03 May 2016, Published online: 10 Jan 2018

References

  • Audusse, E. , Bouchut, F. , Bristeau, M.-O. , Klein, R. & Perthame, B. [2004] “A fast and stable well-balanced scheme with hydrostatic reconstruction for shallow water flows,” SIAM J. Sci. Comput. 25 (6), 2050–2065.
  • D'Alessandro, F. & Tomasicchio, R. G. [2008] “The BCI criterion for the initiation of breaking process in Boussinesq-type equations wave models,” Coast. Eng. 55, 1174–1184.
  • Gourlay, M. R. [1996] “Wave setup on coral reefs. 1. Set-up and wave-generated flow on an idealized two dimensional horizontal reef,” Coast. Eng. 27, 167–193.
  • Grilli, S. T. , Svendsen, I. A. & Subramanya, R. [1997] “Breaking criterion and characteristics for solitary waves on slope,” J. Waterw. Port Coast. Ocean Eng. 123, 102–112.
  • Hsiao, S.-C. , Hsu, T.-W. , Lin, T.-C. & Chang, Y.-H. [2008] “On the evolution and run-up of breaking solitary waves on a mild sloping beach,” Coast. Eng. 55, 975–988.
  • Jiang, G.-S. & Shu, C.-W [1996] “Efficient implementation of weighted ENO schemes,” J. Comput. Phys. 126, 202–228.
  • Li, Y. & Raichlen, F. [2001] “Solitary wave run-up on plane slopes,” J. Waterw. Port Coast. Ocean Eng. 127 (1), 33–44.
  • Li, Y. S. & Zhan, J. M. [2006] “Chebyshev finite-spectral method for ID Boussinesq-type equations,” J. Waterw. Port Coast. Ocean Eng. 132 (3), 212–223.
  • Liang, Q. & Marche, F. [2009] “Numerical resolution of well-balanced shallow water equations with complex source terms,” Adv. Water Res. 32, 873–884.
  • Lin, P. , Chang, K.-A. & Liu, P. L.-F. [1999] “Runup and rundown of solitary waves on sloping beaches,” J. Waterw. Port Coast. Ocean Eng. 125 (5), 247–255.
  • Madsen, P. A. , Fuhrman, D. R. & Schaffer, H. A. [2008] “On the solitary wave paradigm for tsunamis,” J. Geophys. Res. 113, C12012.
  • Nwogu, O. [1993] “Alternative form of Boussinesq equations for nearshore wave propagation,” J. Waterw. Port Coast. Ocean Eng. 119 (6), 618–638.
  • Nwogu, O. & Demirbilek . [2010] “Infragravity wave motions and runup over shallow fringing reefs,” J. Waterw. Port Coast. Ocean Eng. 136 (6), 295–305.
  • Roeber, V. , Cheung, K. F. & Kobayashi, M. H. [2010] “Shock-capturing Boussinesq-type model for nearshore wave processes,” Coast. Eng. 57, 407–423.
  • Roeber, V. & Cheung, K. F. [2012] “Boussinesq-type model for energetic breaking waves in fringing reef environments,” Coast. Eng. 70, 1–20.
  • Seelig, W. [1983] “Laboratory study of reef-lagoon system hydraulics,” J. Waterw. Port Coast. Ocean Eng. 109 (4), 380–391.
  • Shi, F. , Kirby, J. T. , Harris, J. C. , Geiman, J. D. & Grilli, S. T. [2012] “A high-order adaptive time-stepping TVD solver for Boussinesq modeling of breaking waves and coastal inundation,” Ocean Model. 43–44, 36–51.
  • Skotner, C. & Apelt, C. J. [1999] “Application of a Boussinesq model for the computation of breaking waves. Part II: Wave-induced setdown and setup on a submerged coral reef,” Ocean Eng. 26, 927–947.
  • Synolakis, C. E. [1987] “The runup of solitary waves,” J. Fluid Mech. 185, 523–545.
  • Synolakis, C. E. & Bernard, E. N. N. [2006] “Tsunami science before and after Boxing Day 2004,” Philos. Trans. A 364, 2231–2265.
  • Tonelli, M. & Petti, M. [2009] “Hybrid finite volume-finite difference scheme for 2DH improved Boussinesq equations,” Coast. Eng. 56, 609–620.
  • Tonelli, M. & Petti, M. [2010] “Finite volume scheme for the solution of 2D extended Boussinesq equations in the surf zone,” Ocean Eng. 37, 567–582.
  • Tonelli, M. & Petti, M. [2011] “Simulation of wave breaking over complex bathymetries by a Boussinesq model,” J. Hydraul. Res. 49 (4), 473–486.
  • Tonelli, M. & Petti, M. [2012] “Shock-capturing Boussinesq model for irregular wave propagation,” Coast. Eng. 61, 8–19.
  • Yao, Y. , Huang, Z. H. , Monismith. S. G. & Lo, E. Y. M. [2012] “1DH Boussinesq modeling of wave transformation over fringe reefs,” Ocean Eng. 47, 30–42.
  • Zelt, J. A. [1991] “The runup of nonbreaking and breaking solitary waves,” Coast. Eng. 15 (3), 205–246.
  • Zhan, J. M. , Li, Y. S. & Wai, O. W. H. [2002] “Numerical modeling of multi-directional irregular waves incorporating 2-D numerical wave absorber and subgrid turbulence,” Ocean Eng. 30, 23–46.
  • Zhou, Q. , Zhan, J. M. & Li, Y.S. [2016] “High-order finite volume WENO schemes for Boussinesq modeling of nearshore wave processes,” J. Hydraul. Res. Accepted, doi: 10.1080/00221686.2016.1175520.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.