References
- Aderibigbe, O., Rajaratnam, N., 1998. Effect of sediment gradation on erosion by plane turbulent wall jets. J. Hydraul. Eng., 124, 10, 1034–1042. DOI: 10.1061/(ASCE)0733-9429(1998)124:10(1034)10.1061/(ASCE)0733-9429(1998)124:10(1034)
- Adduce, C., Sciortino, G., 2006. Scour due to a horizontal turbulent jet: Numerical and experimental investigation. J. Hydraul. Res., 44, 5, 663–673. DOI: https://doi.org/10.1080/00221686.2006.952171510.1080/00221686.2006.9521715
- Annandale, G.W., 1995. Erodibility. J. Hydraul. Res., 33, 4, 471–494. DOI: 10.1080/0022168950949865610.1080/00221689509498656
- Ben Meftah, M., Mossa, M., 2020. New approach to predicting local scour downstream of grade-control structure. J. Hydraul. Eng., 146, 2. DOI: 10.1061/(ASCE)HY.1943-7900.000164910.1061/(ASCE)HY.1943-7900.0001649
- Bombardelli, F.A., Palermo, M., Pagliara, S., 2018. Temporal evolution of jet induced scour depth in cohesionless granular beds and the phenomenological theory of turbulence. Physics of Fluids, 30, 8, 085109. DOI: 10.1063/1.504180010.1063/1.5041800
- Bormann, N.E., Julien, P.Y., 1991. Scour downstream of grade control structures. J. Hydraul. Eng., 117, 5, 579–594. DOI: 10.1061/(ASCE)0733-9429(1991)117:5(579)10.1061/(ASCE)0733-9429(1991)117:5(579)
- Bung, D.B., Crookston, B.M., Valero, D., 2021. Turbulent free-surface monitoring with an RGB-D sensor: the hydraulic jump case. J. Hydraul. Res., 59, 779–790. DOI: 10.1080/00221686.2020.184481010.1080/00221686.2020.1844810
- Center for Disaster Philanthropy, 2019. 2019 Catastrophic River Flooding. Center for Disaster Philanthropy. Accessed Jan. 25, 2020. https://disasterphilanthropy.org/disaster/2019-u-s-spring-floods/
- Chen, J., Hsu, H., Hong, Y., 2016. The influence of upstream slope on the local scour at drop structure. J. Mt. Sci., 13, 12, 2237–2248. DOI:10.1007/s11629-015-3790-510.1007/s11629-015-3790-5
- Crookston, B.M., Erpicum, S., Tullis, B.P., Laugier, F., 2019. Hydraulics of labyrinth and piano key weirs: 100 years of prototype structures, advancements, and future research needs. J. Hydraul. Res., 145, 12, 02519004. DOI: 10.1061/(ASCE)HY.1943-7900.000164610.1061/(ASCE)HY.1943-7900.0001646
- Dey, S., Sarkar, A., 2006. Scour downstream of an apron due to submerged horizontal jets. J. Hydraul. Eng., 132, 3, 246–257. DOI: https://doi.org/10.1061/(ASCE)0733-9429(2006)132:3(246)10.1061/(ASCE)0733-9429(2006)132:3(246)
- Dey, S., Raikar, R.V., 2007. Scour below a High Vertical Drop. J. Hydraul. Eng., 133, 5, 564–568. DOI: 10.1061/(ASCE)0733-9429(2007)133:5(564)10.1061/(ASCE)0733-9429(2007)133:5(564)
- Elnikhely, E.A., Fathy, I., 2020. Prediction of scour downstream of triangular labyrinth weirs. Alex. Eng. J., 59, 2, 1037–1047. DOI: 10.1016/j.aej.2020.03.02510.1016/j.aej.2020.03.025
- Ervine, D.A., Falvey, H.T., Whiters, W., 1997. Pressure fluctuations on plunge pool floors. J. Hydraul. Res. 35, 257-279. DOI: https://doi.org/10.1080/0022168970949843010.1080/00221689709498430
- Eslinger, K., Crookston, B.M., 2020. Energy dissipation of Type A Piano Key Weirs. Water 2020, 12, 1253; DOI: 10.3390/w1205125310.3390/w12051253
- Ettema, R., Yoon, B., Nakato, T., Muste, M., 2004. A review of scour conditions and scour-estimation difficulties for bridge abutments. Water Eng., 8, 6, 643–650. DOI: 10.1007/BF0282355510.1007/BF02823555
- FloodList, 2020. Floods in USA. Accessed: Jan. 25, 2020. http://floodlist.com/america/usa
- Gebhardt, M., Herbst, J., Merkel, J., Belzner, F., 2019. Sedimentation at labyrinth weirs – an experimental study of the self-cleaning process. J. Hydraul. Res., 57, 4, 579–590. DOI: 10.1080/00221686.2018.149405310.1080/00221686.2018.1494053
- Green, C., 2010. Towards sustainable flood risk management. Int. J. Disaster Risk Sci., 1, 1, 33–43. DOI: 10.3974/j
- Hoffmans, G.J.C.M., 1998. Jet scour in equilibrium phase. J. Hydr. Eng., 124, 4, 430–437. DOI: https://doi.org/10.1061/(ASCE)0733-9429(1998)124:4(430)10.1061/(ASCE)0733-9429(1998)124:4(430)
- Hoffmans, G.J.C.M., Verheij, H.J., 1997. Scour Manual. Balkema, Rotterbam, The Netherlands, 205 p.
- Jia, Y., Kitamura, T., Wang, S.S.Y., 2001. Simulation of scour process in plunging pool of loose bed-material. J. Hydraul. Eng., 127, 3, 04016043, 219–229. DOI: 10.1061/(ASCE)0733-9429(2001)127:3(219)10.1061/(ASCE)0733-9429(2001)127:3(219)
- Jüstrich, S., Pfister, M., Schleiss, A.J., 2016. Mobile riverbed scour downstream of a piano key weir. J. Hydraul. Eng., 142, 11, 04016043. DOI: 10.1061/(ASCE)HY.1943-7900.000118910.1061/(ASCE)HY.1943-7900.0001189
- Kuhnle, R.A., Alonso, C.V., Shields, F.D., 2002. Local scour associated with angled spur dikes. J. Hydraul. Eng., 128, 12, 1087–1093. DOI: 10.1061/(ASCE)0733-9429(2002)128: 12(1087)10.1061/(ASCE)0733-9429(2002)128:12(1087)
- Lantz, W., 2021. A laboratory study on the geometric effects of piano key weirs on scour for non-cohesive substrates and simple mitigation techniques. PhD Thesis. Utah State University, Logan, Utah. DOI: https://doi.org/10.26076/b3d7-379d
- Lantz, W., Crookston, B.M., Palermo, M., 2020. Flood infrastructure: Localized scour at Piano Key Weirs. In: Conference Proceedings Dam Safety 2020. Association of State Dam Safety Officials, Lexington, KY, pp. 691–703.
- López-Soto, J., Wibowo, J., Molina-Bas, O., 2016. Cost reduction in dam infrastructure using arced labyrinth spillways. In: Proc. Construction Research Congress 2016. San Juan, Puerto Rico, pp. 647–656. DOI: 10.1061/9780784479827.06610.1061/9780784479827.066
- Machiels, O., Pirotton, M., Pierre, A., Dewals, B., Erpicum, S., 2014. Experimental parametric study and design of Piano Key Weirs. J. Hydraul. Res., 52, 3, 326–335. DOI: 10.1080/00221686.2013.87507010.1080/00221686.2013.875070
- Marsooli, R., Lin, N., Emanuel, K., Feng, K., 2019. Climate change exacerbates hurricane flood hazards along US Atlantic and Gulf Coasts in spatially varying patterns. Nat. Commun., 10, 1, 3785. DOI: 10.1038/s41467-019-11755-z10.1038/s41467-019-11755-z
- Mason, P.J., Arumugam, K., 1985. Free jet scour below dams and flip buckets. J. Hydraul. Eng., 111, 2, 220–235. DOI: 10.1061/(ASCE)0733-9429(1985)111:2(220)10.1061/(ASCE)0733-9429(1985)111:2(220)
- Microsonic, 2021. mic+ 130/IU/TC. mic+ ultrasonic sensors. Accessed: Mar. 4, 2021. https://www.microsonic.de/en/distance-sensors/cylindrical/micplus/standard-sensors/standard-sensors/micplus130iutc.htm
- Nasrollahi, A., Ghodsian, M., Neyshabour, S.A.A.S., 2008. Local scour at permeable spur dikes. J. Appl. Sci., 8, 19, 3398–3406. DOI: 10.3923/jas.2008.3398.340610.3923/jas.2008.3398.3406
- NWS, 2020. NWS Preliminary US Flood Fatality Statistics. National Weather Service (NWS), National Oceanic and Atmospheric Administration (NOAA). Accessed: Jan. 25, 2020. https://www.weather.gov/arx/usflood
- Noseda, M., Stojnic, I., Pfister, M., Schleiss, A.J., 2019. Upstream erosion and sediment passage at Piano Key Weirs. J. Hydraul. Eng., 145, 8, 04019029. DOI: 10.1061/(ASCE)HY.1943-7900.000161610.1061/(ASCE)HY.1943-7900.0001616
- Oliveto, G., Hager, W.H., 2002. Temporal evolution of clear water pier and abutment scour. J. Hydraul. Eng., 128, 9, 811–820. DOI: https://doi.org/10.1061/(ASCE)0733-9429(2002)128:9(811)10.1061/(ASCE)0733-9429(2002)128:9(811)
- Pagliara, S., Amidei, M., Hager, W.H., 2008a. Hydraulics of 3D plunge pool scour. J. Hydraul. Eng., 134, 9, 1275–1284. DOI: 10.1061/(ASCE)0733-9429(2008)134:9(1275)10.1061/(ASCE)0733-9429(2008)134:9(1275)
- Pagliara, S., Hager, W.H., Unger, J., 2008b. Temporal evolution of plunge pool scour. J. Hydraul. Eng., 134, 11, 1630–1638. DOI: 10.1061/(ASCE)0733-9429(2008)134:11(1630)10.1061/(ASCE)0733-9429(2008)134:11(1630)
- Pagliara, S., Palermo, M., Carnacina, I., 2008c. Scour control and surface sediment distribution downstream of block ramps. J. Hydraul. Res., 46, 3, 334–343. DOI: 10.3826/jhr.2008.320810.3826/jhr.2008.3208
- Palermo, M., Bombardelli, F.A., Pagliara, S., 2018. From developing to developed phase in the scour evolution due to vertical and sub-vertical plunging jets: New experiments and theory. In: Proc. 7th International Symposium on Hydraulic Structures. Aachen, Germany. DOI: 10.15142/T3ZH2Z
- Palermo, M., Crookston, B., Pagliara, S., 2020. Analysis of equilibrium morphologies downstream of a PK Weir Structure. In: Proc. World Environmental and Water Resources Congress 2020. American Society of Civil Engineers (ASCE), pp. 43–51. DOI: 10.1061/9780784482971.00510.1061/9780784482971.005
- Palermo, M., Pagliara, S. Roy, D., 2021. Effect of debris accumulation on scour evolution at bridge pier in bank proximity. J. Hydrol. Hydromech., 69, 3031, 1, 108–118. DOI: 10.2478/johh-2020-004110.2478/johh-2020-0041
- Pfister, M., Jüstrich, S., Schleiss, A., 2017. Toe-scour formation at Piano Key Weirs. Labyrinth and Piano Key Weirs III – PKW 2017. Taylor and Francis Group, London, UK, pp. 147–156.10.1201/9781315169064-21
- Schoklitsch, A., 1932. Kolkbildung unter Uberfallstrahlen. Wasserwirtschaft, 343.
- Stein, O.R., Julien, P.J., Alonso, C.V., 1993. Mechanics of jet scour downstream of a headcut. J. Hydraul. Res., 31, 6, 723–738. DOI: 10.1080/00221689309498814.10.1080/00221689309498814
- Wang, L., Melville, B.W., Whittaker, C.N., Guan, D., 2019. Scour estimation downstream of submerged weirs. J. Hydraul. Eng., 145, 12, 06019016. DOI: 10.1061/(ASCE)HY. 1943-7900.0001654.10.1061/(ASCE)HY.1943-7900.0001654
- Yazdi, A.M., Hoseini, S.A., Nazari, S., Amanian, N., 2021. Effects of weir geometry on scour development in the downstream of Piano Key Weirs. Water Supply, 21, 1, 289–298. DOI: 10.2166/ws.2020.272.10.2166/ws.2020.272
- Zhang, G., Valero, D., Bung, D.B., Chanson, H., 2018. On the estimation of free-surface turbulence using ultrasonic sensors. Flow Meas. Instrum., 60, 171–184. DOI: 10.1016/j.flowmeasinst.2018.02.00910.1016/j.flowmeasinst.2018.02.009