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physics.flu-dyn2022
Reappraisal of Whitham's 1967 theory for wave-mean flow interaction in shallow water
Thomas J. Bridges, Daniel J. Ratliff
The modulation equations for Stokes waves in shallow water coupled to wave generated mean flow, derived in Whitham (1967), based on an averaged Lagrangian are revisited. Firstly, i…
physics.flu-dyn2018★ 8 cited
A variational principle for fluid sloshing with vorticity, dynamically coupled to vessel motion
H. Alemi Ardakani, T. J. Bridges, F. Gay-Balmaz +2
A variational principle is derived for two-dimensional incompressible rotational fluid flow with a free surface in a moving vessel when both the vessel and fluid motion are to be d…