Skip to main content

2016 | OriginalPaper | Buchkapitel

Runup of Long Irregular Waves on Plane Beach

verfasst von : Ira Didenkulova, Efim Pelinovsky, Anna Sergeeva

Erschienen in: Extreme Ocean Waves

Verlag: Springer International Publishing

Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.

search-config
loading …

Abstract

Runup of irregular waves, modeled as superposition of Furrier harmonics with random phases, is studied in frames of nonlinear shallow water theory. The possibility of appearance of freak waves on a beach is analyzed. The distribution functions of runup characteristics are computed. An incident wave represents an irregular sea state with Gaussian spectrum. The asymptotic of probability functions in the range of large amplitudes for estimation of freak wave formation in the shore is studied. It is shown that the average runup height of waves with wide spectrum is higher than of waves with narrow spectrum.

Sie haben noch keine Lizenz? Dann Informieren Sie sich jetzt über unsere Produkte:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Literatur
Zurück zum Zitat Brocchini M, Gentile R (2001) Modelling the run-up of significant wave groups. Cont Shelf Res 21:1533–1550CrossRef Brocchini M, Gentile R (2001) Modelling the run-up of significant wave groups. Cont Shelf Res 21:1533–1550CrossRef
Zurück zum Zitat Carrier GF, Greenspan HP (1958) Water waves of finite amplitude on a sloping beach. J Fluid Mech 4:97–109CrossRef Carrier GF, Greenspan HP (1958) Water waves of finite amplitude on a sloping beach. J Fluid Mech 4:97–109CrossRef
Zurück zum Zitat Carrier GF, Wu TT, Yeh H (2003) Tsunami run-up and draw-down on a plane beach. J Fluid Mech 475:79–99CrossRef Carrier GF, Wu TT, Yeh H (2003) Tsunami run-up and draw-down on a plane beach. J Fluid Mech 475:79–99CrossRef
Zurück zum Zitat Chien H, Kao C-C, Chuang LZH (2002) On the characteristics of observed coastal freak waves. Coast Eng J 44(4):301–319CrossRef Chien H, Kao C-C, Chuang LZH (2002) On the characteristics of observed coastal freak waves. Coast Eng J 44(4):301–319CrossRef
Zurück zum Zitat Denissenko P, Didenkulova I, Rodin A, Listak M, Pelinovsky E (2013) Experimental statistics of long wave runup on a plane beach. J Coast Res SI 65:195–200 Denissenko P, Didenkulova I, Rodin A, Listak M, Pelinovsky E (2013) Experimental statistics of long wave runup on a plane beach. J Coast Res SI 65:195–200
Zurück zum Zitat Didenkulova I (2009) New trends in the analytical theory of long sea wave runup. In: Quak E, Soomere T (eds) Applied wave mathematics: selected topics in solids, fluids, and mathematical methods. Springer, pp 265-296 Didenkulova I (2009) New trends in the analytical theory of long sea wave runup. In: Quak E, Soomere T (eds) Applied wave mathematics: selected topics in solids, fluids, and mathematical methods. Springer, pp 265-296
Zurück zum Zitat Didenkulova I (2011) Shapes of freak waves in the coastal zone of the Baltic sea (Tallinn Bay). Boreal Environ Res 16(Suppl. A): 138-148 Didenkulova I (2011) Shapes of freak waves in the coastal zone of the Baltic sea (Tallinn Bay). Boreal Environ Res 16(Suppl. A): 138-148
Zurück zum Zitat Didenkulova I, Pelinovsky E (2011) Rogue waves in nonlinear hyperbolic systems (shallow-water framework). Nonlinearity 24:R1–R18CrossRef Didenkulova I, Pelinovsky E (2011) Rogue waves in nonlinear hyperbolic systems (shallow-water framework). Nonlinearity 24:R1–R18CrossRef
Zurück zum Zitat Didenkulova II, Slunyaev AV, Pelinovsky EN, Charif Ch (2006a) Freak waves in 2005. Nat Hazards Earth Syst Sci 6:1007–1015CrossRef Didenkulova II, Slunyaev AV, Pelinovsky EN, Charif Ch (2006a) Freak waves in 2005. Nat Hazards Earth Syst Sci 6:1007–1015CrossRef
Zurück zum Zitat Didenkulova II, Zahibo N, Kurkin AA, Levin BV, Pelinovsky EN, Soomere T (2006b) Runup of nonlinearly deformed waves on a coast. Dokl Earth Sci 411(8):1241–1243CrossRef Didenkulova II, Zahibo N, Kurkin AA, Levin BV, Pelinovsky EN, Soomere T (2006b) Runup of nonlinearly deformed waves on a coast. Dokl Earth Sci 411(8):1241–1243CrossRef
Zurück zum Zitat Didenkulova II, Kurkin AA, Pelinovsky EN (2007a) Run-up of solitary waves on slopes with different profiles. Izv Atmos Ocean Phys 43(3):384–390 Didenkulova II, Kurkin AA, Pelinovsky EN (2007a) Run-up of solitary waves on slopes with different profiles. Izv Atmos Ocean Phys 43(3):384–390
Zurück zum Zitat Didenkulova I, Pelinovsky E, Soomere T, Zahibo N (2007b) Runup of nonlinear asymmetric waves on a plane beach. In: Kundu A (ed) Tsunami and nonlinear waves, pp 173-188 Didenkulova I, Pelinovsky E, Soomere T, Zahibo N (2007b) Runup of nonlinear asymmetric waves on a plane beach. In: Kundu A (ed) Tsunami and nonlinear waves, pp 173-188
Zurück zum Zitat Dysthe K, Krogstad HE, Muller P (2008) Oceanic rogue waves. Annu Rev Fluid Mech 40:287–310CrossRef Dysthe K, Krogstad HE, Muller P (2008) Oceanic rogue waves. Annu Rev Fluid Mech 40:287–310CrossRef
Zurück zum Zitat Kânoğlu U (2004) Nonlinear evolution and runup-rundown of long waves over a sloping beach. J Fluid Mech 513:363–372CrossRef Kânoğlu U (2004) Nonlinear evolution and runup-rundown of long waves over a sloping beach. J Fluid Mech 513:363–372CrossRef
Zurück zum Zitat Kânoğlu U, Synolakis C (2006) Initial value problem solution of nonlinear shallow water-wave equations. Phys Rev Lett 97:148501CrossRef Kânoğlu U, Synolakis C (2006) Initial value problem solution of nonlinear shallow water-wave equations. Phys Rev Lett 97:148501CrossRef
Zurück zum Zitat Kharif Ch, Pelinovsky E (2003) Physical mechanisms of the rogue wave phenomenon. Eur J Mech / B-Fluid 22(6):603–634CrossRef Kharif Ch, Pelinovsky E (2003) Physical mechanisms of the rogue wave phenomenon. Eur J Mech / B-Fluid 22(6):603–634CrossRef
Zurück zum Zitat Kharif Ch, Pelinovsky E, Slunyaev A (2009) Rogue waves in the ocean. Springer, Berlin Kharif Ch, Pelinovsky E, Slunyaev A (2009) Rogue waves in the ocean. Springer, Berlin
Zurück zum Zitat Massel SR (1996) Ocean surface waves: their physics and prediction. World Scientific, Singapore Massel SR (1996) Ocean surface waves: their physics and prediction. World Scientific, Singapore
Zurück zum Zitat Nikolkina I, Didenkulova I (2011) Rogue waves in 2006–2010. Nat Hazards Earth Syst Sci 11:2913–2924CrossRef Nikolkina I, Didenkulova I (2011) Rogue waves in 2006–2010. Nat Hazards Earth Syst Sci 11:2913–2924CrossRef
Zurück zum Zitat Nikolkina I, Didenkulova I (2012) Catalogue of rogue waves reported in media in 2006–2010. Nat Hazards 61(3):989–1006CrossRef Nikolkina I, Didenkulova I (2012) Catalogue of rogue waves reported in media in 2006–2010. Nat Hazards 61(3):989–1006CrossRef
Zurück zum Zitat Olagnon M, Athanassoulis GA (eds) (2001) Rogue waves 2000. Ifremer, France Olagnon M, Athanassoulis GA (eds) (2001) Rogue waves 2000. Ifremer, France
Zurück zum Zitat Pedersen G, Gjevik B (1983) Runup of solitary waves. J Fluid Mech 142:283–299CrossRef Pedersen G, Gjevik B (1983) Runup of solitary waves. J Fluid Mech 142:283–299CrossRef
Zurück zum Zitat Pelinovsky E, Mazova R (1992) Exact analytical solutions of nonlinear problems of tsunami wave run-up on slopes with different profiles. Nat Hazards 6:227–249CrossRef Pelinovsky E, Mazova R (1992) Exact analytical solutions of nonlinear problems of tsunami wave run-up on slopes with different profiles. Nat Hazards 6:227–249CrossRef
Zurück zum Zitat Rosenthal W (2003) Rogue waves: forecast and impact on marine structures. GKSS Research Center, Geesthacht, Germany Rosenthal W (2003) Rogue waves: forecast and impact on marine structures. GKSS Research Center, Geesthacht, Germany
Zurück zum Zitat Sand SE, Hansen NE, Klinting P, Gudmestad OT, Sterndorff MJ (1990) Freak wave kinematics. In: Torum A, Gudmestad OT (eds) Water wave kinematics. Kluwer, Dordrecht, pp 535–549 Sand SE, Hansen NE, Klinting P, Gudmestad OT, Sterndorff MJ (1990) Freak wave kinematics. In: Torum A, Gudmestad OT (eds) Water wave kinematics. Kluwer, Dordrecht, pp 535–549
Zurück zum Zitat Sergeeva AV, Didenkulova II (2005) Runup of irregular waves on a plane beach. Izv Russ Acad Eng Sci 14:98–105 Sergeeva AV, Didenkulova II (2005) Runup of irregular waves on a plane beach. Izv Russ Acad Eng Sci 14:98–105
Zurück zum Zitat Slunyaev A, Didenkulova I, Pelinovsky E (2011) Rogue waters. Contemp Phys 52(6):571–590CrossRef Slunyaev A, Didenkulova I, Pelinovsky E (2011) Rogue waters. Contemp Phys 52(6):571–590CrossRef
Zurück zum Zitat Spielfogel LO (1976) Runup of single waves on a sloping beach. J Fluid Mech 74:685–694CrossRef Spielfogel LO (1976) Runup of single waves on a sloping beach. J Fluid Mech 74:685–694CrossRef
Zurück zum Zitat Synolakis CE (1987) The runup of solitary waves. J Fluid Mech 185:523–545CrossRef Synolakis CE (1987) The runup of solitary waves. J Fluid Mech 185:523–545CrossRef
Zurück zum Zitat Synolakis CE (1991) Tsunami runup on steep slopes: how good linear theory really is. Nat Hazards 4:221–234CrossRef Synolakis CE (1991) Tsunami runup on steep slopes: how good linear theory really is. Nat Hazards 4:221–234CrossRef
Zurück zum Zitat Tadepalli S, Synolakis CE (1994) The Runup of N-waves. Proc R Soc Lond A445:99–112CrossRef Tadepalli S, Synolakis CE (1994) The Runup of N-waves. Proc R Soc Lond A445:99–112CrossRef
Zurück zum Zitat Tinti S, Tonini R (2005) Analytical evolution of tsunamis induced by near-shore earthquakes on a constant-slope ocean. J Fluid Mech 535:33–64CrossRef Tinti S, Tonini R (2005) Analytical evolution of tsunamis induced by near-shore earthquakes on a constant-slope ocean. J Fluid Mech 535:33–64CrossRef
Zurück zum Zitat Torum A, Gudmestad OT (eds) (1990) Water wave kinematics. Kluwer, Dordrecht Torum A, Gudmestad OT (eds) (1990) Water wave kinematics. Kluwer, Dordrecht
Metadaten
Titel
Runup of Long Irregular Waves on Plane Beach
verfasst von
Ira Didenkulova
Efim Pelinovsky
Anna Sergeeva
Copyright-Jahr
2016
DOI
https://doi.org/10.1007/978-3-319-21575-4_8