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Mild-slope solver including non-linear dispersion and bottom friction
The processes of non-linear celerity distortion due to amplitude dispersion and energy dissipation due to bottom friction, whose effects are intensified in shallow waters, are incorporated into a finite volume solver of the mild-slope equation. Amplitude dispersion is taken into account in an iterative manner. The local energy dissipation due to bottom friction is computed using an existing model with appropriate expressions for the friction coefficient. Solutions to wave propagation problems are obtained on unstructured triangular meshes. Roe's flux function is used to evaluate the numerical fluxes at the triangular cell edges, and the conserved variables are updated implicitly in time. The incorporation of non-linear amplitude dispersion is found to improve significantly the agreement of computed results with laboratory data in non-linear wave propagation problems, while the effects of bottom friction are of secondary importance.
Mild-slope solver including non-linear dispersion and bottom friction
The processes of non-linear celerity distortion due to amplitude dispersion and energy dissipation due to bottom friction, whose effects are intensified in shallow waters, are incorporated into a finite volume solver of the mild-slope equation. Amplitude dispersion is taken into account in an iterative manner. The local energy dissipation due to bottom friction is computed using an existing model with appropriate expressions for the friction coefficient. Solutions to wave propagation problems are obtained on unstructured triangular meshes. Roe's flux function is used to evaluate the numerical fluxes at the triangular cell edges, and the conserved variables are updated implicitly in time. The incorporation of non-linear amplitude dispersion is found to improve significantly the agreement of computed results with laboratory data in non-linear wave propagation problems, while the effects of bottom friction are of secondary importance.
Mild-slope solver including non-linear dispersion and bottom friction
Bokaris, Jack (author) / Anastasiou, Kostas (author)
Journal of Hydraulic Research ; 49 ; 547-553
2011-08-01
7 pages
Article (Journal)
Electronic Resource
Unknown
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