MASS TRANSPORT AND ORBITAL VELOCITIES WITH LAGRANGEIAN FROM OF REFERENCE

Stefan Woltering, Karl-Friedrich Daemrich

Abstract


Measurements of surface elevations and horizontal orbital velocities in regular waves and two component wave groups were performed to prove the experimental validity of periodic wave theories for regular waves, and empirical engineering methods for calculations in irregular waves. Besides the traditional wave theories a LAGRANGEian approach was introduced. With this LAGRANGEian method for waves of finite height, based on the geometry of orbital paths given by STOKES wave theories, it is possible to extend the region of validity of STOKES theories over a wider range of wave parameter. The use of a superposition method with LAGRANGEian approach and the application to two component wave groups, results in the appearance of non linear interaction components in surface elevations and horizontal orbital velocities, which are in fair agreement as well with a 2nd order approach for irregular wave surface elevation as with the measurements of surface elevation and horizontal orbital velocities.

Keywords


Lagrangian reference; mass transport; orbital velocity

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