# Surface Elevation

### Some articles on surface, surface elevation:

Airy Wave Theory - Mathematical Formulation of The Wave Motion - Flow Problem Formulation
... the horizontal direction, with coordinate x, and a fluid domain bound above by a free surface at z = η(x,t), with z the vertical coordinate (positive in the upward direction) and t being ... The level z = 0 corresponds with the mean surface elevation ... flow in the fluid interior for waves on a liquid surface – and potential theory can be used to describe the flow ...
Boussinesq Approximation (water Waves) - Original Boussinesq Equations - Derivation
... irrotational flow in the (x,z) plane, the boundary conditions at the free surface elevation z = η(x,t) are where u is the horizontal flow velocity component u ... can be reduced to a single partial differential equation for the free surface elevation η set B – Boussinesq (1872), equation (26) From the terms between brackets ... reads, after normalization with the dimensionless surface elevation, the dimensionless time, and the dimensionless horizontal position ...
Dispersion (water Waves) - Frequency Dispersion For Surface Gravity Waves - Group Velocity
... certain moment, from when counted in time from the measured surface elevation at a fixed position ... The water surface elevation η(x,t), as a function of horizontal position x and time t, for a bichromatic wave group of full modulation can be mathematically ... and k2, have to satisfy the dispersion relation and Using trigonometric identities, the surface elevation is written as The part between square brackets is the slowly-varying amplitude of the group, with group ...

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