Open AccessCOMPUTATION OF PARTICLE PATHS USING THE LAGRANGIAN LONG WAVE EQUATIONS
Author(s) -
M.A. Savoie,
J. van de Kreeke
Publication year - 1982
Publication title -
proceedings of conference on coastal engineering/proceedings of ... conference on coastal engineering
Language(s) - English
Resource type - Journals
eISSN - 2156-1028
pISSN - 0589-087X
DOI - 10.9753/icce.v18.42
Subject(s) - computation , lagrangian , nonlinear system , classical mechanics , equations of motion , particle (ecology) , mechanics , physics , mathematical analysis , mathematics , geology , oceanography , algorithm , quantum mechanics
The Lagrangian long wave equations and the Lagrangian expressions for stress and strain are derived. Retaining the dominant terms the long wave equations are solved using an explicit finite difference method. Using the numerical solution, particle paths are computed for the tidal motion in a basin connected to the ocean by a single inlet. At the open boundary particle displacements are described. Computations are carried out with and without the Coriolis force and for linear and nonlinear bottom friction.