On the Accuracy of Boussinesq Evolution Equations
Henrik Bredmose, Per A. Madsen, Hemming Andreas Schäffer · 2001
Nwogu's equations are transformed to the frequency domain, retaining all terms with the purpose of obtaining reference solutions in the frequency domain. These equations constitute a boundary value problem which is solved numerically. It is shown that simple forward spatial integration cannot be applied without reducing the equations in some way. Three approximate models allowing spatial integration are derived, and the influence of the approximations is investigated using the results of the boundary value problem formulation. One of the approximate models are applied to varying depth, showing some problems with discontinuities in the bed slope.