GreenNaghdi
GreenNaghdi, often written Green–Naghdi, refers to a class of depth-averaged models for shallow water waves named after Green and Naghdi. Developed in the 1970s, these equations extend the classical shallow water (Saint-Venant) framework by incorporating nonlinear and dispersive effects that arise from the vertical structure of the flow. The model describes the evolution of the free surface and the depth-averaged horizontal velocity in one or two horizontal dimensions and is widely used in coastal and ocean engineering.
In one common formulation, the dependent variables are the total water depth h(x,t) and the depth-averaged velocity
Applications include modeling coastal wave propagation, shoaling, runup, and tsunami dynamics, as well as interactions of