Deutsche Hydrografische Zeitschrift

, Volume 49, Issue 2–3, pp 431–444 | Cite as

Shallow water wave modelling with nonlinear dissipation

  • Christoph Schneggenburger
  • Heinz Günther
  • Wolfgang Rosenthal
New Modelling Techniques


In this paper a new shallow water wave model is described which uses nonlinear dissipation derived from turbulent diffusion as damping mechanism. The source functions of the model are presented in detail. Analytical results of the dynamical equation for simple cases illustrate basic features of the model. Academic test runs in deep and shallow water are performed. The designed cases are identical to the ones used in previous wave model intercomparison studies and thus allow comparison with other wave models. Results of a hindcast of a North Sea storm event illustrate the model behaviour in nonuniform real shallow water systems. In this case we can compare with field data and with the community wave model WAM cy. 4, which has been run parallel to our model. Our study shows that the concept of wave modelling with nonlinear dissipation is consistent with common knowledge of wave evolution in oceanic and shelf sea applications.


Significant Wave Height Source Function German Journal Wind Input Nonlinear Dissipation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Seegangsmodellierung im Flachwasser mit nichtlinearer Dissipation


Ein neues Seegangsmodell für Flachwasser wird beschrieben, welches nichtlineare Dissipation durch turbulente Diffusion als DÄmpfungsmechanismus verwendet. Die Quellfunktionen werden im Detail angegeben. Analytische Lösungen der dynamischen Gleichung in einfachen FÄllen illustrieren prinzipielle Eigenschaften des Modells. Akademische Tests für tiefes und flaches Wasser werden durchgeführt. Die Tests können mit entsprechenden Rechnungen aus früheren Modellvergleichsstudien verglichen werden. Die Nachrechnung eines Nordseesturmes zeigt das Verhalten des Modells in realen nichtuniformen Systemen. Ein Vergleich mit Felddaten und Ergebnissen des Community-Modells WAM cy. 4, welches parallel zum Einsatz gebracht wurde, kann durchgeführt werden. Unsere Studie zeigt, da\ das Konzept der Seegangsmodellierung mit nichtlinearer Dissipation zu Ergebnissen führt, die dem allgemeinen VerstÄndnis von Seegang in globalen und regionalen Anwendungen entsprechen.


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Copyright information

© Springer-Verlag 1997

Authors and Affiliations

  • Christoph Schneggenburger
    • 1
  • Heinz Günther
    • 2
  • Wolfgang Rosenthal
    • 3
  1. 1.Christoph Schneggenburger GKSS-Forschungszentrum Geesthacht GmbHMax-Planck-Stra\eGeesthacht
  2. 2.GKSS ForschungszentrumMax-Planck-Stra\eGeesthacht
  3. 3.GKSS ForschungszentrumGeesthacht

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