A new equation describing travelling water waves

longwaveThe paper “A new equation describing travelling water waves“, co-authored by Katie Oliveras and Vishal Vasan, has been published in the Journal of Fluid Mechanics.  In the paper, a new single equation for the surface elevation of a travelling water wave in an incompressible, inviscid, irrotational fluid is derived. The equation is derived without approximation from Euler’s equations, valid for both a one- and two-dimensional travelling-wave surface. The new formulation can be used to efficiently derive higher-order Stokes-wave approximations.  The paper can be found here.

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