Abstract: Transmitting lateral boundary conditions are derived for application to unidirectional wave trains in the parabolic equation method. A form of the condition is derived which is numerically exact for situations where Snell's ...

Abstract: A recent development of a parabolic equation method for wave propagation in a non‐orthogonal coordinate system is reviewed. A transformation of the full governing equation prior to development of any approximation leads ...

Abstract: The relationship between truncated Fourier series solutions of several different long‐wave evolution equations is explored. The models are all designed to represent the same physics in the asymptote of small nonlinearity ...

Abstract: The extended Boussinesq equations derived by Nwogu (1993) significantly improve the linear dispersive properties of long-wave models in intermediate water depths, making it suitable to simulate wave propagation from ...

Abstract: A frequency domain wave transformation model is derived from a set of time-dependent extended Boussinesq equations. In contrast to an earlier study, this model is derived directly from the (η,

Abstract: The interaction of small amplitude water waves with a patch of bottom ripples is studied using the Boundary Integral Equation Method (BIEM). Normal and oblique wave incidence is examined for reflection coefficients and the ...