FN Archimer Export Format PT J TI 2D parametric model for surface wave development under varying wind field in space and time BT AF Kudryavtsev, Vladimir Yurovskaya, Maria Chapron, Bertrand AS 1:1,2;2:1,2;3:1,3; FF 1:;2:;3:PDG-ODE-LOPS-SIAM; C1 Russian State Hydrometeorological University St. Petersburg, Russia Marine Hydrophysical Institute Sebastopo, Russia Laboratoire d’Oceanographie Spatiale Ifremer Plouzane, France C2 UNIV RUSSIAN STATE HYDROMETEOROL, RUSSIA INST MARINE HYDROPHYS, RUSSIA IFREMER, FRANCE SI BREST SE PDG-ODE-LOPS-SIAM UM LOPS IN WOS Ifremer UMR copubli-int-hors-europe IF 3.938 TC 11 UR https://archimer.ifremer.fr/doc/00686/79830/82636.pdf LA English DT Article DE ;parametric wave development model;self‐similar fetch‐laws;wind waves AB A fully consistent 2D parametric model of wave development under spatially and/or time varying winds is developed. Derived coupled equations are written in their characteristic form to provide practical means to rapidly assess how the energy, frequency and direction of dominant surface waves are developing and distributed under varying wind forcing conditions. For young waves, non‐linear interactions drive the peak frequency downshift, and the wind energy input and wave breaking dissipation are governing the wave energy evolution. With a prescribed wind wave growth rate, proportional to (u*/c) squared, wave breaking dissipation must follow a power‐function of the dominant wave slope. For uniform wind conditions, this choice for the growth rate imposes solutions to follow fetch laws, with exponents q=‐1/4, p=3/4 correspondingly. This set of exponents recovers the Toba’s laws, and imposes the wave breaking exponent equal to 3. A varying wind direction can then drive spectral peak direction changes, leading to the occurrence of focusing/defocusing wave groups over localized areas where wave‐rays merge and cross. Significant (but finite) local variations of the energy are then expected under varying wind forcing. Propagating away from a stormy area, wave rays generally diverge, leading to dispersive swell systems. This article is protected by copyright. All rights reserved. Plain Language Summary A practical and rapid evaluation of wave conditions under stormy conditions is often required for navigation safety and coastal hazards. Surface waves and breakers are also essential components of the air‐ocean coupled system to possibly control the dynamical evolution of extreme events. Here, a fully consistent 2D parametric model for wave development is solved in the storm frame of reference. Along wave‐rays, peak energy and frequency evolve. Wave‐rays can also bend under changes of the wind direction. The proposed method thus helps rapidly identify localized areas where wave‐rays can merge or cross, leading to dangerous sea state hot spots. The suggested model will efficiently complement operational wave models, to simulate and map surface wave developments generated by moving Tropical and extra‐Tropical Cyclones. PY 2021 PD APR SO Journal Of Geophysical Research-oceans SN 2169-9275 PU American Geophysical Union (AGU) VL 126 IS 4 UT 000645019200048 DI 10.1029/2020JC016915 ID 79830 ER EF