Analytic solution of the linearized shallow-water wave
equations for certain continuous depth variations.
i) A construction of the hybrid model that allows the simulation of arbitrary domain scales by coupling of deep water and shallow-water waves.
Shen, "Simulation of shallow-water waves in coastal region for marine simulator," in Proceedings of the 7th ACM SIGGRAPH International Conference on Virtual-Reality Continuum and Its Applications in Industry (VRCAI '08), p.
Ira Didenkulova, Efim Pelinovsky and Artem Rodin study numerically the interaction of long and steep shallow-water waves
, a problem that sheds some further light to the formation of shock waves and bores during propagation of tsunamis.
They cover shallow-water waves
, water-level fluctuations, coastal structures, challenges to developing and designing offshore structures, ports and harbors, coastal sediment processes, the flow of water and nutrients in enclosed bays, sustainable coastal development, coastal hazards, physical modeling, and coastal engineering practice and education.
Interaction of unidirectional weakly nonlinear and dispersive shallow-water waves
is usually studied in the framework of the Korteweg-de Vries (KdV) equation [1-4].