2023/08/21 by Joris Labarbe, Labarbe, Joris, Didier Clamond +1
Earth and Planetary Sciences · Engineering · #Coastal and Marine Dynamics #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #Fluid Dynamics Simulations and Interactions #Ocean Waves and Remote Sensing
paper · pdf · doi:10.48550/arxiv.2308.10567
openalex publication_date 2023/08/21 · openalex created_date 2023/08/23 · openalex updated_date 2026/07/28
A novel boundary integral approach for the recovery of overhanging (or not) rotational (or not) water waves from pressure measurements at the bottom is presented. The method is based on the Cauchy integral formula and on an Eulerian--Lagrangian formalism to accommodate overturning free surfaces. This approach eliminates the need to introduce \em a priori a special basis of functions, providing thus a general means of fitting the pressure data and, consequently, recovering the free surface. The effectiveness and accuracy of the method are demonstrated through numerical examples.