Bakker WT, Van Doorn T (1978) Near-bottom velocities in waves with a current. In: Proc 16th Int Conf Coastal Engineering, ASCE, New York, pp 1394–1413

Bartholdy J, Flemming BW, Ernstsen VB, Winter C, Bartholomä A (2010) Hydraulic roughness over simple subaqueous dunes. Geo Mar Lett 30(1):63–76. doi:

10.1007/s00367-009-0153-7
CrossRefBertin X, Castelle B, Anfuso G, Ferreira Ó (2008) Improvement of sand activation depth prediction under conditions of oblique wave breaking. Geo Mar Lett 28(2):65–75. doi:

10.1007/s00367-007-0090-2
CrossRefBlondeaux P, Brocchini M, Vittori G (2002) Sea waves and mass transport on a sloping beach. Proc R Soc Lond Series A Math Phys Eng Sci 458:2053–2082

CrossRefChristoffersen JB, Jonsson IG (1985) Bed friction and dissipation in a combined current and wave motion. Ocean Eng 12:387–423

CrossRefCox DT, Kobayashi N (1996) Undertow profiles in the bottom boundary layer under breaking waves. In: Edge BL (ed) Proc 25th Int Conf Coastal Engineering, ASCE, New York, pp 3194–3206

Cox DT, Kobayashi N, Okayasu A (1996) Bed shear stress in the surf zone. J Geophys Res 101:14337–14348

CrossRefDavies AG, Li Z (1997) Modeling sediment transport beneath regular symmetrical and asymmetrical waves above a plane bed. Cont Shelf Res 17:555–582

CrossRefDavies AG, Soulsby RL, King HL (1988) A numerical model of the combined wave and current bottom boundary layer. J Geophys Res 93:491–508

CrossRefDeigaard R, Fredsøe J (1989) Shear stress distribution in dissipative water waves. Coastal Eng 13:357–378

CrossRefDeigaard R, Mikkelsen MB, Fredsøe J (1991) Measurements of the bed shear stress in a surf zone. Prog Rep 73, ISVA, Technical University of Denmark, Lyngby

Demirbilek Z, Vincent CL (2008) Wave mechanics. In: Coastal Engineering Manual, Part II, Hydrodynamics, Chapter II-1, Engineer Manual 1110-2-1100, US Army Corps of Engineers, Washington, DC

Dohmen-Janssen CM, Hassan WN, Ribberink JS (2001) Mobile-bed effects in oscillatory sheet flow. J Geophys Res 106:27103–27115

CrossRefDyhr-Nielsen M, Sorensen T (1970) Sand transport phenomena on coasts with bars. In: Proc 12th Int Conf Coastal Engineering, ASCE, New York, pp 855–866

Faraci C, Foti E, Musumeci RE (2008) Waves plus currents at a right angle: the rippled bed case. J Geophys Res 113:C07018. doi:

10.1029/2007JC004468
CrossRefFoti E, Scandura P (2004) A low Reynolds number

*k*-

*ε* model validated for oscillatory flows over smooth and rough wall. Coastal Eng 51:173–184

CrossRefFredsøe J, Deigaard R (1992) Mechanics of coastal sediment transport. World Scientific, Singapore

CrossRefFuhrman DR, Fredsøe J, Sumer BM (2009) Bed slope effects on turbulent wave boundary layers: 2. Comparison with skewness, asymmetry, and other effects. J Geophys Res 114:C03025. doi:

10.1029/2008JC005053
CrossRefGrant WD, Madsen OS (1979) Combined wave and current interaction with a rough bottom. J Geophys Res 84:1797–1808

CrossRefGuizien K, Dohmen-Janssen CM, Vittori G (2003) 1DV bottom boundary layer modeling under combined wave and current: turbulent separation and phase lag effects. J Geophys Res 108:C1. doi:

10.1029/2001JC001292
CrossRefHenderson SM, Allen JS, Newberger PA (2004) Nearshore sandbar migration predicted by an eddy-diffusive boundary layer model. J Geophys Res 109:C06024. doi:

10.1029/2003JC002137
CrossRefHolmedal LE, Myrhaug D (2006) Boundary layer flow and net sediment transport beneath asymmetrical waves. Cont Shelf Res 26:252–268

CrossRefHolmedal LE, Myrhaug D (2009) Wave-induced steady streaming, mass transport and net sediment transport in rough turbulent ocean bottom boundary layers. Cont Shelf Res 29:911–926

CrossRefHolmedal LE, Myrhaug D, Rue H (2003) The sea bed boundary layer under random waves plus current. Cont Shelf Res 23:717–750

CrossRefHolmedal LE, Myrhaug D, Eidsvik KJ (2004) Sediment suspension under sheet flow conditions beneath random waves plus current. Cont Shelf Res 24:2065–2091

CrossRefHsu TJ, Elgar S, Guza RT (2006) Wave-induced sediment transport and onshore sandbar migration. Coastal Eng 53:817–824

CrossRefKemp PH, Simons RR (1982) The interaction of waves and a turbulent current: waves propagating with the current. J Fluid Mech 116:227–250

CrossRefKirkgoz MS (1989) An experimental investigation of plunging breaker boundary layers in the transformation zone. Coastal Eng 13:341–356

CrossRefLe Roux JP (2008) Profiles of fully developed (Airy) waves in different water depths. Coastal Eng 55:701–703

CrossRefLe Roux JP, Demirbilek Z, Brodalka M, Flemming BW (2010) WAVECALC: an Excel-VBA spreadsheet to model the characteristics of fully developed waves and their influence on bottom sediments in different water depths. Geo Mar Lett 30(5):549–560. doi:

10.1007/s00367-010-0195-x
CrossRefLi Z, Davies AG (1996) Towards predicting sediment transport in combined wave-current flow. J Waterw Port Coast Ocean Eng 122:157–164

CrossRefLin C, Hwung HH (2002) Observation and measurement of the bottom boundary layer flow in the prebreaking zone of shoaling waves. Ocean Eng 29:1479–1502

CrossRefLodahl CR, Sumer BM, Fredsøe J (1998) Turbulent combined oscillatory flow and current in a pipe. J Fluid Mech 373:313–349

CrossRefLonguest-Higgins MS (1953) Mass transport in water waves. Philos Trans R Soc Lond A 245:535–581

CrossRefMadsen OS (1994) Spectral wave-current bottom boundary layer flows. In: Edge BL (ed) Proc 24th Int Conf Coastal Engineering, ASCE, New York, pp 384–398

Malarkey J, Davies AG (1998) Modeling wave-current interactions in rough turbulent bottom boundary layers. Ocean Eng 25:119–141

CrossRefMellor G (2002) Oscillatory bottom boundary layers. J Phys Oceanogr 32:3075–3088

CrossRefMyrhaug D, Slaattelid OH (1990) A rational approach to wave-current friction coefficients for rough, smooth, and transitional turbulent flow. Coastal Eng 14:265–293

CrossRefNwogu GO, Demirbilek Z (2001) BOUSS-2D: a Boussinesq wave model for coastal regions and harbors. Tech Rep ERDC-CHL-TR-01-25, US Army Engineer R&D Center, Vicksburg, MS

Reniers AJHM, Thomton EB, Stanton TP, Roelvink JA (2004) Vertical flow structure during Sandy Duck: observations and modeling. Coastal Eng 51:237–260

CrossRefRivero FJ, Arcilla AS (1995) On the vertical distribution of \( \tilde{u}\tilde{w} \). Coastal Eng 25:137–152

Ruessink BG, Kuriyama Y, Reniers AJHM, Roelvink JA, Walstra DJR (2007) Modeling cross-shore sandbar behavior on the timescale of weeks. J Geophys Res 112:F03010. doi:

10.1029/2006JF000730
CrossRefSana A, Ghumman AR, Tanaka H (2007) Modification of the damping function in the

*k*-

*ε* model to analyze oscillatory boundary layers. Ocean Eng 34:320–326

CrossRefSchlichting H (2000) Boundary layer theory. Springer, Berlin Heidelberg

Shi JZ, Wang Y (2008) The vertical structure of combined wave-current flow. Ocean Eng 35:174–181

CrossRefSleath JFA (1991) Velocities and shear stresses in wave-current flows. J Geophys Res 96:15237–15244

CrossRefSoulsby RL, Hamm L, Klopman G, Myrhaug D, Simons RR, Thomas GP (1993) Wave-current interaction within and outside the bottom boundary layer. Coastal Eng 21:41–69

CrossRefStive MJF, De Vriend HJ (1994) Shear stresses and mean flow in shoaling and breaking waves. In: Edge BL (ed) Proc 24th Int Conf Coastal Engineering, ASCE, New York, pp 594–608

Suntoyo, Tanaka H, Sana A (2008) Characteristics of turbulent boundary layers over a rough bed under saw-tooth waves and its application to sediment transport. Coastal Eng 55:817–824

CrossRefSvendsen IA (1984) Mass flux and undertow in a surf zone. Coastal Eng 8:345–365

Svendsen IA, Schaffer HA, Hansen JB (1987) The interaction between the undertow and the boundary layer flow on a beach. J Geophys Res 92:11845–11856

CrossRefSvendsen IA, Qin WK, Ebersole BA (2003) Modeling waves and currents at the LSTF and other laboratory facilities. Coastal Eng 50:19–45

CrossRefTrowbridge J, Madsen OS (1984) Turbulent wave boundary layers: I. Model formulation and first-order solution. J Geophys Res 89:7987–7997

You ZJ (1994) A simple model for current velocity profiles in combined wave-current flows. Coastal Eng 23:289–304

CrossRefZhang C, Wang YG, Zheng JH (2009) Numerical study on vertical structures of undertow inside and outside the surf zone. Acta Oceanol Sin 28:103–111

Zheng JH (2007) Depth-dependent expression of obliquely incident wave induced radiation stress. Progr Nat Sci 17:1067–1073

Zheng JH, Tang Y (2009) Numerical simulation of spatial lag between wave breaking point and location of maximum wave-induced current. China Ocean Eng 23:59–71

Zheng JH, Mase H, Demirbilek Z, Lin L (2008) Implementation and evaluation of alternative wave breaking formulas in a coastal spectral wave model. Ocean Eng 35:1090–1101

CrossRef