REGULAR PERIODIC WAVE RUNUP AND OVERTOPPING SIMULATIONS BY LAGRANGIAN BLOCKS
Proceedings of the 32nd International Conference
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Keywords

Lagrangian block hydrodynamics
regular periodic waves
wave runup
wave overtopping
shock capture
shoreline tracking

How to Cite

Tan, L. W., & Chu, V. H. (2011). REGULAR PERIODIC WAVE RUNUP AND OVERTOPPING SIMULATIONS BY LAGRANGIAN BLOCKS. Coastal Engineering Proceedings, 1(32), currents.46. https://doi.org/10.9753/icce.v32.currents.46

Abstract

Wave runup and overtopping of truncated beaches have been simulated using the method of Lagrangian Block Hydrodynamics (LBH). Instead of interpolation, which causes numerical oscillations, the fluxes through the face of the finite-volume in the LBH method are determined by the advection of the blocks. Negative water depth is not possible and the computation is unconditionally stable as the momentum is updated by the re-construction of the blocks. The accuracy of the method is evaluated using (i) the exact solution of the collapsing bore and (ii) the available laboratory data of the solitary waves as the benchmarks. The numerical simulations carried out for regular periodic waves cover a wide range of wave steepness and beach slopes taking advantage of the inherent shock-capturing and shoreline-tracking capabilities of the LBH method.
https://doi.org/10.9753/icce.v32.currents.46
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References

Ancey, C., R.M. Iverson, M. Rentschler, and R.P. Denlinger. 2008. An exact solution for ideal dambreak floods on steep slopes. Water Resources Research, 44, W01430-1-10. http://dx.doi.org/10.1029/2007WR006353

Baldock, T.E., M.G. Hughes, K. Day, and J. Louys. 2005. Swash overtopping and sediment overwash on a truncated beach. Coastal Engineering, 52, 633-645. http://dx.doi.org/10.1016/j.coastaleng.2005.04.002

Battjes, J.A. 1974. Surf similarity. Proceedings of the 14th Coastal Engineering Conference, 1, ASCE, 466-480.

Briganti, R., and N. Dodd. 2009. On the role of shoreline boundary conditions in wave overtopping modelling with non-linear shallow water equations. Coastal Engineering, 56, 1061-1067. http://dx.doi.org/10.1016/j.coastaleng.2009.06.011

Briggs, M.J., C.E. Synolakis, G.S. Harkins, and S.T. Hughes. 1995. Large scale three-dimensional laboratory measurements of tsunami inundation. In Y. Tsuchiya and N. Shuto (eds,), Tsunami: Progress in Prediction, Disaster Prevention and Warming, 129-149, Kluwer Academic, Netherlands.

Dodd, N. 1998. Numerical model of wave run-up, overtopping, and regeneration. Journal of Waterway, Port, Coastal, and Ocean Engineering, 124(2), 73-81. http://dx.doi.org/10.1061/(ASCE)0733-950X(1998)124:2(73)

Hall, J.V. and J.W. Watts. 1953. Laboratory investigation of the vertical rise of solitary waves on impermeable slopes. Technical Memo 33, 1-14, Beach Erosion Board, U.S. Army Corps of Engineers.

Hogg, A.J. 2006. Lock-release gravity currents and dam-break flows. Journal of Fluid Mechanics, 569(1), 61-87.http://dx.doi.org/10.1017/S0022112006002588

Hsiao, S.-C., T.-W. Hsu, T.-C. Lin, and Y.-H. Chang. 2008. On the evolution and run-up of breaking solitary waves on a mild sloping beach. Coastal Engineering, 55, 975-988. http://dx.doi.org/10.1016/j.coastaleng.2008.03.002

Hunt, I.A. 1959. Design of seawalls and breakwaters. Journal of the Waterways and Harbors Division, 85(WW3), 123-152.

Jensen A., G.K. Pedersen, and D.J. Wood. 2003. An experimental study of wave run-up at a steep beach. Journal of Fluid Mechanics, 486, 161-188. http://dx.doi.org/10.1017/S0022112003004543

Keller, J.B. 1961. Tsunamis - water waves produced by earthquakes. Proceedings of the Tsunami Meetings Associated with the 10th Pacific Science Congress, International Union of Geodesy and Geophysics, 154-166.

Kobayashi, N., and A. Wurjanto. 1989. Wave overtopping on coastal structures. Journal of Waterway, Port, Coastal, and Ocean Engineering, 115(2), 235-251. http://dx.doi.org/10.1061/(ASCE)0733-950X(1989)115:2(235)

Li, Y., and F. Raichlen. 2002. Non-breaking and breaking solitary wave run-up. Journal of Fluid Mechanics, 456, 295-318. http://dx.doi.org/10.1017/S0022112001007625

Lynett, P. and P.L.-F. Liu. 2002. Modeling wave runup with depth-integrated equations. Coastal Engineering, 46, 89-107.http://dx.doi.org/10.1016/S0378-3839(02)00043-1

Miche, M. 1951. Le pouvoir réfléchissant des ouvrages maritimes exposés à l'action de la houle. Annals des Ponts et Chaussess, 121e Annee, 285-319 [translated by Lincoln and Chevron, 1954. University of California, Berkeley, Wave Research Laboratory, 3(363)].

Peregrine, D.H., and S.M. Williams. 2001. Swash overtopping a truncated plane beach. Journal of Fluid Mechanics, 440, 391-399. http://dx.doi.org/10.1017/S002211200100492X

Ritter, A. 1892. Die fortpflanzung der wasserwellen (The propagation of water waves). Zeitschrift des Vereines Deutscher Ingenieure, 36(33), 947-954 [in German].

Shen, M.C., and R.E. Meyer. 1963. Climb of a bore on a beach 3: Run-up. Journal of Fluid Mechanics, 16, 113-125. http://dx.doi.org/10.1017/S0022112063000628

Shore Protection Manual. 1984. U.S. Army Engineer Waterways Experiment Station, 4th edn., US Government Printing Office, Washington, D.C.

Stoker, J.J. 1957. Water Waves: The Mathematical Theory with Applications. Wiley Interscience, New York.

Synolakis, C.E. 1986. The runup of solitary wave. PhD thesis, California Institute of Technology, Pasadena, CA.

Tan, L.-W. and V.H. Chu. 2009a. Lauber and Hager's dam-break wave data for numerical model validation. Journal of Hydraulic Research, 47(4), 524-528.http://dx.doi.org/10.1080/00221686.2009.9522028

Tan, L.-W. and V.H. Chu. 2009b. Simulation of wave fronts on dry beds using Lagrangian blocks. Engineering and Computational Mechanics, 162(EM2), 57-66.

Tan, L.-W. and V.H. Chu. 2010a. Wave runup simulations using Lagrangian blocks on Eulerian mesh. J. Hydro-Environ. Res., 3(4), pp. 193-200.

Tan, L.-W. and V.H. Chu. 2010b. Wet-and-dry interface on steep slopes simulations using Lagrangian blocks. Environmental Hydraulics, CRC Press/Balkema (ISBN 978-0-415-58475-3), Vol. 2, pp. 997-102

Tan, L.-W. and V.H. Chu. 2010c. Dam-break flood simulations using 2D Lagrangian blocks on Eulerian mesh method. Environmental Hydraulics, CRC Press/Balkema (ISBN 978-0-415-58475-3), Vol. 2, pp. 1003-1008.

Thacker, W.C. 1981. Some exact solutions to the nonlinear shallow-water wave equations. Journal of Fluid Mechanics, 107, 499-508.http://dx.doi.org/10.1017/S0022112081001882

Titov, V.V., and C.E. Synolakis. 1995. Modeling of breaking and non-breaking long-wave evolution and run-up using VTCS-2. Journal of Waterway, Port, Coastal, and Ocean Engineering, 121, 308-461.http://dx.doi.org/10.1061/(ASCE)0733-950X(1995)121:6(308)

van der Meer, J.W. 2002. Technical report on wave run-up and wave overtopping at dikes. Report of TAW, Technical Advisory Committee for Flood Defence in the Netherlands (TAW), Delft.

Walton, T.L., Jr., J.P. Ahrens, C.L. Truitt, and R.G. Dean. 1989. Criteria for evaluating coastal floodprotection structures. Technical Report CERC-89-15, U.S. Army Engineer Waterways Experiment Station, Coastal Engineering Research Center, Vicksburg, MS.

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