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Thesis info: |
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Documenttype: Doctoraat/Thesis/Eindwerk |
Trefwoorden |
Modelling Numerical models Water waves > Surface water waves > Wind waves Marien/Kust |
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Abstract |
The aim of the present study is to determine whether the general accuracy of SWAN can be improved by implementing alternative expressions for source terms in deep and shallow water, and by improving the numerical solution of the action balance equation. Two numerical aspects concerning stationary simulation are considered, namely the influence of the action limiter on model outcomes, and the criteria that determine when the iterative solution procedure should be ended. To this end, the outcomes of simulations using a number of numerical techniques for the integration of the source terms were compared, and the iteration behaviour of the model was studied. Concerning model physics, it was first investigated to what extent the accuracy of SWAN in deep water and water of finite depth can be improved by replacing the DIA quadruplet source term by an exact method that computes the full set of quadruplet interactions. Subsequently, it was investigated whether the accuracy of SWAN could be improved by using a whitecapping expression that, for breaking waves, is dependent on variables that are local in the frequency spectrum, as opposed to spectrally averaged. To improve model performance in the surf zone, a twoequation triad interaction model that includes all resonant and near-resonant interactions was implemented, for the reduced case of parallel depth contours. The performance of SWAN using this alterative triad source term was compared with the performance when using the LTA. A major finding concerning the numerics in SWAN is that the action limiter does not significantly influence converged model results. A second important finding concerning stationary simulation is that the default convergence criteria are insufficient and can yield unconverged results that differ significantly from fully converged ones. Alternative, stricter convergence criteria are proposed. Concerning deep water source terms, it was found that replacing the DIA with an exact method for quadruplet interaction improves model performance somewhat, but is prohibitively expensive for operational applications. Model accuracy in deep and intermediate water depths is improved by using a whitecapping dissipation expression that, for breaking waves, is dependent on variables that are local in frequency space. The improvement in model performance is particularly evident under combined swell and wind sea conditions, where the default expression fails because of dependencies on mean spectral variables. Concerning shallow water source terms, it was found that the details of frequency spectra can be significantly improved through the use of a triad interaction source term that takes all sum and difference interactions into account. However, this model variant is significantly more computationally intensive than the default version (LTA). |
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