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Original Articles

Boussinesq-Type Modeling of Sediment Transport and Coastal Morphology

, , &
Pages 1750007-1-1750007-27 | Received 23 Dec 2015, Accepted 15 Nov 2016, Published online: 10 Jan 2018

References

  • Ackers, P. & White, W. R. [1973] “Sediment transport: New approach and analysis,” J. Hydraul. Div. ASCE 99 (HY11), 2041–2060.
  • Agnon, Y. , Madsen, P. A. & Schäffer, H. A. [1999] “A new approach to high-order Boussinesq models,” J. Fluid Mech. 399, 319–333.
  • Ahilan, R. & Sleath, J. [1987] “Sediment transport in oscillatory flow over flat beds,” J. Hydraul. Eng. 113 (3), 308–322.
  • Arcilla, A. S. , Roelvink, J. A. , O'Conner, B. A. , Reniers, A. & Jimenez, J. A. [1994] “The delta flume '93 experiment,” in Proc. Coastal Dyn. '94, eds. Arcilla, A. S. , Marcel, S. J. F. & Kraus, N. C. (ASCE, Barcelona, Spain), pp. 488–502.
  • Bailard, J. [1981] “An energetics total load sediment transport model for a plane sloping beach,” J. Geophys. Res. 86 (C11), 10938–10954.
  • Bakker, W. T. [1974] “Sand concentration in an oscillatory flow,” in Proc. 14th Int. Conf. on Coastal Engineering, Vol. I, Chapter 66, ASCE, Copenhagen, Denmark, pp. 1129–1148.
  • Bijker, E. W. [1968] “Littoral drift as function of waves and current,” in Proc. 11th Int. Conf. on Coastal Engineering (ASCE, London, United Kingdom), Vol. I, Chapter 26, pp. 415–435.
  • Briand, M.-H. G. & Kamphuis, J. W. [1993] “Sediment transport in the surf zone: A quasi 3-D numerical model,” Coast. Eng. 20 (1–2), 135–156.
  • Brøker Hedegaard, I. , Deigaard, R. & Fredsøe, J. [1991] “Onshore/Offshore sediment transport and morphological modelling of coastal profiles,” in Proc. ASCE Specialty Conf. Coastal Sediments '91, eds. Kraus, N. C. , Gingerich, K. J. & Kriebel, D. L. , Seattle, WA, pp. 643–657.
  • Bruun, P. [1954] “Coast erosion and the development of beach profiles,” U.S. Army Corps of Engineers, Beach Erosion Board, Tech. Memo. No. 44.
  • Butt, T. & Russell, P. [2000] “Hydrodynamics and cross-shore sediment transport in the swash-zone of natural beaches: A review,” J. Coast. Res. 16 (2), 255–268.
  • Camenen, B. & Larson, M. [2005] “A general formula for non-cohesive bed load sediment transport,” Estuar. Coast. Shelf Sci. 63 (1–2), 249–260.
  • Camenen, B. & Larson, M. [2006] “Phase-lag effects in sheet flow transport,” Coast. Eng. 53 (5–6), 531–542.
  • Camenen, B. & Larson, M. [2007] “A unified sediment transport formulation for coastal inlet application,” Technical Report ERDC/CHL CR-07-1, U.S. Army Engineer Research and Development Center, Vicksburg, MS, USA, p. 231.
  • Camenen, B. & Larson, M. [2008] “A general formula for noncohesive suspended sediment transport,” J. Coastal Res. 24 (3), 615–627.
  • Chen, Q. [2006] “Fully nonlinear Boussinesq-type equations for waves and currents over porous beds,” J. Eng. Mech. 132 (2), 220–230.
  • Chen, Q. , Kirby, J. T. , Dalrymple, R. A. , Kennedy, A. B. & Chawla, A. [2000] “Boussinesq modeling of wave transformation, breaking and runup. II: 2D,” J. Waterw. Port Coast. Ocean Eng. 126 (1), 48–56.
  • Dally, W. R. & Dean, R. G. [1984] “Suspended sediment transport and beach profile evolution,” J. Waterw. Port Coast. Ocean Eng. 110 (1), 15–33.
  • Deigaard, R. , Fredsøe, J. & Brøker Hedegaard, I. [1986] “Suspended sediment in the surf zone,” J. Waterw. Port Coast. Ocean Eng. 112 (1), 115–128.
  • De Vriend, H. J. & Stive, M. J. F. [1987] “Quasi-3D modelling of nearshore currents,” Coast. Eng. 11 (5–6), 565–601.
  • Dette, H. H. , Larson, M. , Murphy, J. , Newe, J. , Peters, K. , Reniers, A. & Steetzel, H. [2002] “Application of prototype flume tests for beach nourishment assessment,” Coast. Eng. 47 (2), 137–177.
  • Dibajnia, M. , Moriya, T. & Watanabe, A. [2001] “A representative wave model for estimation of nearshore local transport rate,” Coast. Eng. J. 43 (1), 1–38.
  • Dibajnia, M. & Watanabe, A. [1992] “Sheet flow under nonlinear waves and currents,” in Proc. 23rd Int. Conf. on Coastal Engineering, part V, Chapter 155, ed. Edge, B. L. , Venice, Italy, pp. 2015–2028.
  • Dibajnia, M. & Watanabe, A. [1998] “Transport rate under irregular sheet flow conditions,” Coast. Eng. 35 (3), 167–183.
  • Elfrink, B. & Baldock, T. [2002] “Hydrodynamics and sediment transport in the swash zone: A review and perspectives,” Coast. Eng. 45 (3–4), 149–167.
  • Engelund, F. & Fredsøe, J. [1976] “A sediment transport model for straight alluvial channels,” Nord. Hydrol. 7, 293–306.
  • Engelund, F. & Hansen, E. [1972] A Monograph on Sediment Transport in Alluvial Streams, 3rd edition (Technical Press, Copenhagen, Denmark), p. 62.
  • Fernandez Luque, R. & van Beek, R. [1976] “Erosion and transport of bed-load sediment,” J. Hydraul. Res. 14 (2), 127–144.
  • Fredsøe, J. [1984] “Turbulent boundary layer in wave-current motion,” J. Hudraul. Eng. 110 (8), 1103–1120.
  • Fredsøe, J. , Andersen, O. H. & Silberg, S. [1985] “Distribution of suspended sediment in large waves,” J. Waterw. Port Coast. Ocean Eng. 111 (6), 1041–1059.
  • Fredsøe, J. & Deigaard, R. [1992] Mechanics of Coastal Sediment Transport, Advanced Series on Ocean Engineering (World Scientific, Singapore), p. 369.
  • Gallerano, F. , Cannata, G. & Villani, M. [2014] “An integral contravariant formulation of the fully non-linear Boussinesq equations,” Coast. Eng. 83 (3–4), 119–136.
  • Gobbi, M. F. , Kirby, J. T. & Wei, G. [2000] “A fully nonlinear Boussinesq model for surface waves. Part 2. Extension to O(kh)4,” J. Fluid Mech. 405, 181–210.
  • Grass, A. J. [1981] “Sediment transport by waves and currents,” Report No. FL29, SERC London Cent. Mar. Technol., London, United Kingdom, p. 148.
  • Hallermeier, R. J. [1982] “Oscillatory Bed load transport: Data review and simple formulation,” Cont. Shelf Res. 1 (2), 159–190.
  • Huynh-Thanh, S. & Temperville, A. [1991] “A numerical model of the rough turbulent boundary layer in combined wave current interaction,” Sand Transport in Rivers, Estuaries and the Sea , eds. Soulsby, R. L. & Bettess, R. (Balkema, Rotterdam), pp. 93–100.
  • Israeli, M. & Orszag, S. A. [1981] “Approximation of radiation boundary conditions,” J. Comput. Phys. 41 (1), 115–135.
  • Johnson, H. K. & Zyserman, J. A. [2002] “Controlling spatial oscillations in bed level update schemes,” Coast. Eng. 46 (2), 109–126.
  • Kajima, R. , Shimizu, T. , Maruyama, K. & Saito, S. [1982] “Experiments on beach profile change with a large wave flume,” in Proc. 18th Int. Conf. on Coastal Engineering , ed. Edge, B. L. , Cape Town, South Africa, Part II, pp. 1385–1404.
  • Kamphuis, J. W. [1991] “Alongshore sediment transport rate distribution,” in Proc. ASCE Specialty Conf. Coastal Sediments '91, eds. Kraus, N. C. , Gingerich, K. J. & Kriebel, D. L. , Seattle, WA, pp. 170–183.
  • Karambas, Th. V. [2012] “Design of detached breakwaters for coastal protection: Development and application of an advanced numerical model” in Proc. 33rd Int. Conf. on Coastal Engineering , eds. Lynett, P. J. & Smith, J. M. , Santander, Spain, 1 (33), sediment.115, doi: 10.9753/icce.v33.sediment.115.
  • Karambas, Th. V. & Karathanassi, E. K. [2004] “Longshore sediment transport by nonlinear waves and currents,” J. Waterw. Port Coast. Ocean Eng. 130 (6), 277–286.
  • Karambas, Th. V. & Koutitas, C. [2002] “Surf and swash zone morphology evolution induced by nonlinear waves,” J. Waterw. Port Coast. Ocean Eng. 128 (3), 102–113.
  • Kazolea, M. , Delis, A. I. , Nikolos, I. K. & Synolakis, C. E. [2012] “An unstructured finite volume numerical scheme for extended 2D Boussinesq-type equations,” Coast. Eng. 69, 42–66.
  • Kennedy, A. B. , Chen, Q. , Kirby, J. T. & Dalrymple, R. A. [2000] “Boussinesq modeling of wave transformation, breaking and runup. I: ID,” J. Waterw. Port Coast. Ocean Eng. 126 (1), 39–47.
  • Klonaris, G. Th. , Memos, C. D. & Drønen, N. K. [2016] “High-order Boussinesq-type model for integrated nearshore dynamics,” J. Waterw. Port Coast. Ocean Eng. 142 (6), 04016010.
  • Klonaris, G. Th. , Memos, C. D. & Makris, C. V. [2015] “Nearshore compound simulation by a Boussinesq-type wave model,” IAHR/COPRI Symposium ‘Long Waves and Relevant Extremes’, E-Proceedings of the 36th IAHR World Congress, The Hague, The Netherlands, 28 June-3 July, 2015.
  • Larson, M. [1996] “Model of beach profile change under random waves,” J. Waterw. Port Coast. Ocean Eng. 122 (4), 172–181.
  • Larson, M. , Kubota, S. & Erikson, L. [2001] “A model of sediment transport and profile evolution in the swash zone,” in Proc. Coastal Dyn. '01, eds. Hanson, H. & Larson, M. (ASCE, Lund, Sweden), pp. 908–917.
  • Larson, M. , Kubota, S. & Erikson, L. [2004] “Swash-zone sediment transport and foreshore evolution: Field experiments and mathematical modeling,” Mar. Geol. 212 (1–4), 61–79.
  • Larson, M. & Wamsley, T. V. [2007] “A formula for longshore sediment transport in the swash,” in Proc. Coastal Sediments '07 (ASCE, New Orleans, USA), pp. 1924–1937.
  • Leont'yev, I. O. [1996] “Numerical modelling of beach erosion during storm event,” Coast. Eng. 29 (1–2), 187–200.
  • Lesser, G. R. , Roelvink, J. A. , van Kester, J. A. T. M. & Stelling, G. S. [2004] “Development and validation of a three-dimensional morphological model,” Coast. Eng. 51 (8–9), 883–915.
  • Liu, P. L.-F. [1994] “Model equations for wave propagations from deep to shallow water,” in Advances in Coastal and Ocean Engineering , Vol. 1, ed. Liu, P. L.-F. (World Scientific Publishing Co., Singapore), pp. 125–157.
  • Long, W. & Kirby, J. T. [2003] “Cross-shore sediment transport model based on the Boussinesq equations and an improved Bagnold formula,” in Proc. Coastal Sediments '03, Clearwater Beach, Florida, USA, May 18–23 2003.
  • Long, W. & Kirby, J. T. [2006] “Boussinesq modeling of waves, currents, and sediment transport,” Res. Rep. No. CACR-06-02, Center for Applied Coastal Research, University of Delaware, Delaware, USA, p. 323.
  • Lynett, P. & Liu, P. L.-F. [2004] “A two-layer approach to wave modelling,” Proc. R. Soc. Lond. A 460 (2049), 2637–2669.
  • Madsen, P. A. , Bingham, H. B. & Liu, H. [2002] “A new Boussinesq method for fully nonlinear waves from shallow to deep water,” J. Fluid Mech. 462, 1–30.
  • Madsen, O. S. & Grant, W. D. [1976] “Sediment transport in the coastal environment,” Technical Report No. 209, M.I.T., Cambridge, Massachusetts, USA, p. 105.
  • Memos, C. D. , Klonaris, G. Th. & Chondros, M. K. [2016] “On higher order Boussinesq-type wave models,” J. Waterw. Port Coast. Ocean Eng. 142 (1), 04015011.
  • Meyer-Peter, E. & Müller, R. [1948] “Formulas for bed-load transport,” Rep. 2nd Meet. Int. Assoc. Hydraul. Struc. Res., Stockholm, Sweden, pp. 39–64.
  • Nam, P. T. , Larson, M. , Hanson, H. & Hoan, L. H. [2009] “A numerical model of nearshore waves, currents, and sediment transport,” Coast. Eng. 56 (11–12), 1084–1096.
  • Nielsen, P. [1992] Coastal Bottom Boundary Layers and Sediment Transport, Advanced Series on Ocean Engineering (World Scientific Publishing, Singapore), Vol. 4, p. 324.
  • Nwogu, O. [1993] “Alternative form of Boussinesq equations for nearshore wave propagation,” J. Waterw. Port Coast. Ocean Eng. 119 (6), 618–638.
  • O'Connor, B. A. & Nicholson, J. [1995] “Suspended sediment transport equations,” Report No. CE/3/95, Department of Civil Engineering, University of Liverpool, p. 11.
  • Putrevu, U. & Svendsen, I. A. [1993] “Vertical structure of the undertow outside the surf zone,” J. Geophys. Res. 98 (C12), 22707–22716.
  • Rahman, S. , Mano, A. fc Udo, K. [2013] “Quasi-2D sediment transport model combined with Bagnold-type bed load transport,” in Proc. 12th International Coastal Symp., Plymouth, United Kingdom, Vol. 1, pp. 368–373.
  • Rakha, K. A. [1998] “A quasi-3D phase-resolving hydrodynamic and sediment transport model,” Coast. Eng. 34 (3–4), 277–311.
  • Rakha, K. A. , Deigaard, R. & Brøker, I. [1997] “A phase-resolving cross-shore transport model for beach evolution,” Coast. Eng. 31 (1–4), 231–261.
  • Ribberink, J. [1998] “Bed-load transport for steady flows and unsteady oscillatory flows,” Coast. Eng. 34 (1–2), 59–82.
  • Ribberink, J. S. & Al-Salem, A. A. [1991] “Near-bed sediment transport and suspended sediment concentrations under waves,” Int. Symp. on the Transport of Suspended Sediments and Its Mathematical Modelling, Florence, Italy, pp. 375–388.
  • Ribberink, J. S. & Al-Salem, A. A. [1995] “Sheet flow and suspension in oscillatory boundary layers,” Coast. Eng. 25 (3–4), 205–225.
  • Roeber, V. & Cheung, K. F. [2012] “Boussinesq-type model for energetic breaking waves in fringing reef environments,” Coast. Eng. 70 (3–4), 1–20.s
  • Roelvink, J. A. [1991] “Modelling of cross-shore flow and morphology,” in Proc. ASCE Specialty Conf. Coastal Sediments '91 , eds. Kraus, N. C. , Gingerich, K. J. & Kriebel, D. L. , Seattle, WA, pp. 603–617.
  • Roelvink, J. A. [2006] “Coastal morphodynamic evolution techniques,” Coast. Eng. 53 (2–3), 277–287.
  • Roelvink, J. A. & Reniers, A. J. H. M. [1995] “LIP 11D delta flume experiments,” Delta data Rep. H 2130, Delft Hydraulics, Delft, The Netherlands.
  • Roelvink, J. A. & Stive, M. J. F. [1989] “Bar-generating cross-shore flow mechanics on a beach,” J. Geophys. Res. 94 (C4), 4785–4800.
  • Sato, S. & Horikawa, K. [1986] “Laboratory studies on sand transport over ripples due to asymmetric oscillatory flows,” in Proc. 20th Int. Conf. on Coastal Engineering , ed. Edge, B. L. , Taipei, Taiwan, Vol. II, Chapter 109, pp. 1481–1495.
  • Sawamoto, M. & Yamashita, T. [1986] “Sediment transport rate due to wave action,” J. Hydrosci. Hydraul. Eng. 4 (1), 1–15.
  • Shi, F. , Kirby, J. T. , Harris, J. C. , Geirman, 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.
  • Shimizu, T. , Sato, S. , Maruyama, K. , Hasegawa, H. & Kajima, R. [1985] “Modeling of cross-shore sediment transport rate distributions in a large wave flume,” Central Res. Inst. Electr. Power Ind., Tokyo, Report No. 384028, p. 60 (in Japanese).
  • Sleath, J. F. A. [1978] “Measurements of bed load in oscillatory flow,” J. Waterw. Port Coast. Ocean Div., ASCE 104 (WW3), 291–307.
  • Soulsby, R. [1997] Dynamics of Marine Sands, a Manual f or Practical Applications (Thomas Telford, H.R. Wallingford, England), p. 249.
  • Staub, C. , Jonsson, I. G. & Svendsen, I. A. [1996] “Sediment suspension in oscillatory flow: Measurements of instantaneous concentration at high shear,” Coast. Eng. 27 (1–2), 67–96.
  • Stive, M. J. F. L. Battjes, J. A. [1984] “A model for offshore sediment transport,” in Proc. 19th Int. Conf. on Coastal Engineering , ed. Edge, B. L. , Houston, Texas, USA, Part II, Chapter 97, pp. 1420–1436.
  • Swart, D. [1974] “Offshore sediment transport and equilibrium beach profiles,” Tech. Rep., Delft Hydraulics Lab. Pubi. No. 131, Delft, The Netherlands.
  • Trowbridge, J. & Young, D. [1989] “Sand transport by unbroken water waves under sheet flow conditions,” J. Geophys. Res. 94 (C8), 10971–10991.
  • van de Graaff, J. & van Overeem, J. [1979] “Evaluation of sediment transport formulae in coastal engineering practice,” Coast. Eng. 3, 1–32.
  • van Rijn, L. [1989] “Handbook sediment transport by currents and waves,” Report No. H 461, Delft Hydraulics, Delft, The Netherlands.
  • van Rijn, L. [1993] Principles of Sediment Transport in Rivers, Estuaries and Coastal Seas (Aqua Publications, Amsterdam, The Netherlands).
  • Watanabe, A. [1988] “Modeling of sediment transport and beach evolution,” in Nearshore Dynamics and Coastal Processes , ed. K. Horikawa (University of Tokyo Press, Tokyo, Japan), pp. 292–302.
  • Watanabe, A. [1994] “A mathematical model of beach processes under sheet-flow condition using nonlinear wave theory,” Int. Symp. on Waves — Physical and Numerical Modelling, Vancouver, B.C., pp. 1520–1529.
  • Watanabe, A. & Dibajnia, M. [1988] “Numerical modelling of nearshore waves, cross-shore sediment transport and beach profile change,” in Proc. IAHR Symp. on Mathematical Modelling of Sediment Transport in the Coastal Zone, Copenhagen, Denmark, pp. 166–174.
  • Wei, G. & Kirby, J. T. [1995] “Time-dependent numerical code for extended Boussinesq equations,” J. Waterw. Port Coast. Ocean Eng. 121 (5), 251–261.
  • Wei, G. , Kirby, J. T. , Grilli, S. T. & Subramanya, R. [1995] “A fully nonlinear Boussinesq model for surface waves. Part 1. Highly nonlinear unsteady waves,” J. Fluid Mech. 294, 71–92.
  • Wei, G. , Kirby, J. T. & Sinha, A. [1999] “Generation of waves in Boussinesq models using a source function method,” Coast. Eng. 36 (4), 271–299.
  • Wenneker, I. , van Dongeren, A. , Lescinski, J. , Roelvink, D. & Borsboom, A. [2011] “A Boussinesq-type wave driver for a morphodynamical model to predict short-term morphology,” Coast. Eng. 58 (1), 66–84.
  • Willis, D. H. [1978] “Sediment load under waves and currents,” in Proc. 16th Int. Conf. on Coastal Engineering, ASCE, Hamburg, Germany, Vol. II, Chapter 97, pp. 1626–1637.
  • Zlatev, Z. , Berkowicz, R. & Prahm, L. P. [1984] “Implementation of a variable stepsize variable formula method in the time-integration part of a code for treatment of long-range transport of air pollutants,” J. Comput. Phys. 55 (2), 278–301.
  • Zyserman, J. A. & Fredsøe, J. [1994] “Data analysis of bed concentration of suspended sediment,” J. Hydraul. Eng. 120 (9), 1021–1042.

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