| Popis: |
The subject of this thesis is on the development and application of a discontinuous Galerkin-based wave prediction model, created in an effort to balance numerical accuracyand computational cost when simulating wind-driven waves in hydrodynamicdomains. This model is based on a spectral approach and solves a relatively simplemomentum balance equation in space and time where wave generation and degradationis solely the result of wind stress on the water surface. This is in contrast to mostother spectral models which solve the wave action balance equation with multiplesource terms over a (usually large) set of discrete frequency and direction components,making them prohibitively expensive from a computational standpoint. TheDG wave model is validated in a series of hindcasts for Lake Erie and Lake Michiganwhere numerical output is found to be consistent with buoy recordings of significantwave height. The DG wave model is also compared with the well-established SWANwave model in terms of accuracy and CPU time required for a monthly simulation;results from the model intercomparsion study reveal that the DG wave model is 33times faster than SWAN with very similar results. As a final point, the discontinuousGalerkin method provides a robust framework for the model, rendering it an attractiveoption for future coupling in a multi-physics framework that incorporates couplingwith circulation models and phase-resolving wave models for full-scale simulations incoastal regions. |
