Lagrangian Modelling Techniques Simulating Wave and Sediment Dynamics ...
17
Black, K.P. and Rosenberg, M.A. (1991). Suspended load at three time scales. Coastal Sediments '9l. Waterway, Port, Coastal and Ocean Div. (ASCE}.l: 3l3-327.
Black, K.P. and Rosenberg, M.A. (1992a). Natural stability of beaches around a large bay.
Journal of Coastal Research. 8(2): 385-397.
Black, K.P. and Rosenberg, M.A. (1992b). Semi-empirical treatment of wave transformation
outside and inside the breaker line. Coastal Engineering. 16: 313-345.
Black, K.P., Gorman, R.M. and Symonds, G. (1995). Sediment transport near the break
point associated with cross-shore gradients in vertical eddy diffusivity. Coastal Engineering.26: 153-175.
Black, K.P., Bell, R.G., Oldman, J.W. and Gorman, R. (1996). Challenges encountered modelling discharge options for Mangere WTP. New Zealand Waste Water Association Annual Conference, Nelson, September, 1996, pp. 264-268.
Black, K.P., Osborne, P., Villard, P. and Grant, D. (1997). Numerical simulation of high-resolution turbulence, orbital current and suspended sediment concentrations under swell
at intra-wave time scales. Pacific Coasts and Ports'97, Christchurch, 7-11 September
1997.
Bretschneider, c.L. and Reid, O.R. (1954). Modification of the wave height due to bottom
friction, percolation and refraction. Technical Memorandum 45, Beach Erosion Board,
US Army Corps of Engineers. 36 p.
Dolphin, T.J. (1992). Low amplitude multiple bar systems in a fetch limited intertidal environment. MSc thesis, Univ. of Auckland, New Zealand. 143 pp. (Unpub!.)
Green, M.O., Black, K.P. and Amos, c.L. (1998). Control of estuarine sediment dynamics by
interactions between currents and waves at several scales. Marine Geology. 144: 97-116.
Hutt, J. and Black, K.P. (1997). Vertical attenuation of wave-induced pressure. Pacific Coasts
and Ports'97, Christchurch, 7-11 September 1997.
Hutt, J. (1997). Bathymetry and wave parameters defining the surfing quality of five adjacent reefs. MSc. Thesis, University of Waikato, New Zealand. 170 pp.
Jenkins, G.P. and Black, K.P. (1994). Temporal variability in settlement of a coastal fish (Sillaginodes punctata) determined by low-frequency hydrodynamics. Limnology and Oceanography. 39(7}: 1744-1754.
McComb, P.J., Black, K.P., Atkinson, P.N., Healy, T.R. and Bell, R.G. (1997). High-resolution
wave transformation on a coast with complex bathymetry. Pacific Coasts and Ports'97,
Christchurch, 7-11 September 1997.
Middleton, J.E and Black, K.P. (1994). The low frequency circulation in and around Bass
Strait: a numerical study. Continental Shelf Research 14 (13/14): 1495-152l.
Nielsen, P. (1986) Suspended sediment concentrations under waves. Coastal Engineering.
10:23-3l.
Swart, D.H. (1974). A schematization of onshore-offshore transport. Proc. 14th Int. Conf.
Coastal Eng. (ASCE), 884-900.
Young, I.R., Black, K.P. and Heron, M.L. (1993). Circulation in the ribbon reef region of the
Great Barrier Reef. Continental Shelf Research. 14 (2/3): 117-142.
Appendix 1: Lagrangian model POL3DD
For the horizontal advection, a 2nd order accurate scheme is used as described
by Black and Gay (1989). In the Monte Carlo (random walk) diffusion stage, all
particles in the water column move a small random distance horizontally or vertically (~n) where ~n = Rn (6EsM)1/2 and Rn is a random number in the uniform range (-1,1), Es is the lateral, longitudinal or vertical eddy diffusivity, and
At the time step. Notably, a different vertical diffusion procedure is adopted for
buoyant plumes. As the position of each particle is specified by its (x,y,z) co-
17
Black, K.P. and Rosenberg, M.A. (1991). Suspended load at three time scales. Coastal Sediments '9l. Waterway, Port, Coastal and Ocean Div. (ASCE}.l: 3l3-327.
Black, K.P. and Rosenberg, M.A. (1992a). Natural stability of beaches around a large bay.
Journal of Coastal Research. 8(2): 385-397.
Black, K.P. and Rosenberg, M.A. (1992b). Semi-empirical treatment of wave transformation
outside and inside the breaker line. Coastal Engineering. 16: 313-345.
Black, K.P., Gorman, R.M. and Symonds, G. (1995). Sediment transport near the break
point associated with cross-shore gradients in vertical eddy diffusivity. Coastal Engineering.26: 153-175.
Black, K.P., Bell, R.G., Oldman, J.W. and Gorman, R. (1996). Challenges encountered modelling discharge options for Mangere WTP. New Zealand Waste Water Association Annual Conference, Nelson, September, 1996, pp. 264-268.
Black, K.P., Osborne, P., Villard, P. and Grant, D. (1997). Numerical simulation of high-resolution turbulence, orbital current and suspended sediment concentrations under swell
at intra-wave time scales. Pacific Coasts and Ports'97, Christchurch, 7-11 September
1997.
Bretschneider, c.L. and Reid, O.R. (1954). Modification of the wave height due to bottom
friction, percolation and refraction. Technical Memorandum 45, Beach Erosion Board,
US Army Corps of Engineers. 36 p.
Dolphin, T.J. (1992). Low amplitude multiple bar systems in a fetch limited intertidal environment. MSc thesis, Univ. of Auckland, New Zealand. 143 pp. (Unpub!.)
Green, M.O., Black, K.P. and Amos, c.L. (1998). Control of estuarine sediment dynamics by
interactions between currents and waves at several scales. Marine Geology. 144: 97-116.
Hutt, J. and Black, K.P. (1997). Vertical attenuation of wave-induced pressure. Pacific Coasts
and Ports'97, Christchurch, 7-11 September 1997.
Hutt, J. (1997). Bathymetry and wave parameters defining the surfing quality of five adjacent reefs. MSc. Thesis, University of Waikato, New Zealand. 170 pp.
Jenkins, G.P. and Black, K.P. (1994). Temporal variability in settlement of a coastal fish (Sillaginodes punctata) determined by low-frequency hydrodynamics. Limnology and Oceanography. 39(7}: 1744-1754.
McComb, P.J., Black, K.P., Atkinson, P.N., Healy, T.R. and Bell, R.G. (1997). High-resolution
wave transformation on a coast with complex bathymetry. Pacific Coasts and Ports'97,
Christchurch, 7-11 September 1997.
Middleton, J.E and Black, K.P. (1994). The low frequency circulation in and around Bass
Strait: a numerical study. Continental Shelf Research 14 (13/14): 1495-152l.
Nielsen, P. (1986) Suspended sediment concentrations under waves. Coastal Engineering.
10:23-3l.
Swart, D.H. (1974). A schematization of onshore-offshore transport. Proc. 14th Int. Conf.
Coastal Eng. (ASCE), 884-900.
Young, I.R., Black, K.P. and Heron, M.L. (1993). Circulation in the ribbon reef region of the
Great Barrier Reef. Continental Shelf Research. 14 (2/3): 117-142.
Appendix 1: Lagrangian model POL3DD
For the horizontal advection, a 2nd order accurate scheme is used as described
by Black and Gay (1989). In the Monte Carlo (random walk) diffusion stage, all
particles in the water column move a small random distance horizontally or vertically (~n) where ~n = Rn (6EsM)1/2 and Rn is a random number in the uniform range (-1,1), Es is the lateral, longitudinal or vertical eddy diffusivity, and
At the time step. Notably, a different vertical diffusion procedure is adopted for
buoyant plumes. As the position of each particle is specified by its (x,y,z) co-