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CCT-TR-2009-14
Title:
Shallow Water Models: Fundamental Equations and Numerical Test Cases
Authors:
Claes Eskilsson, Department of Civil and Environmental Engineering, Louisiana State University
Summary:
This brief note is intended as a primer for people starting to work in the field of shallow water wave, also refered to as longwave, mod- elling. In doing so we (very) briefly outline the development of dis- persive wave equations taken place in coastal engineering (we do not talk at all about the extensive mathematical literature that can be found regarding this topic). Further, we outline the derivation of the two fundamental equations: the non-dispersive shallow water equa- tions and the weakly dispersive classical Boussinesq equations due to Peregrine. These two equations are the natural starting point for the development of numerical wave models. Finally, we also present seven test cases that are frequently used for verifying and validating shallow water wave models.
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CCT-TR-2009-14.pdf
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