FN Archimer Export Format PT J TI On the coupling of wave and three-dimensional circulation models: Choice of theoretical framework, practical implementation and adiabatic tests BT AF BENNIS, Anne-claire ARDHUIN, Fabrice DUMAS, Franck AS 1:1;2:2;3:3; FF 1:;2:PDG-ODE-LOS;3:PDG-ODE-DYNECO-PHYSED; C1 Univ Bordeaux 1, CNRS, UMR EPOC 5805, F-33405 Talence, France. IFREMER, LOS, F-29280 Plouzane, France. IFREMER, DYNECO PHYSED, F-29280 Plouzane, France. C2 UNIV BORDEAUX, FRANCE IFREMER, FRANCE IFREMER, FRANCE SI BREST SE PDG-ODE-LPO PDG-ODE-LOS PDG-ODE-DYNECO-PHYSED IN WOS Ifremer jusqu'en 2018 copubli-france copubli-univ-france IF 2.462 TC 70 UR https://archimer.ifremer.fr/doc/00056/16705/14198.pdf LA English DT Article DE ;Wave-current coupling;Radiation stresses;MARS3D;WAVEWATCH III AB Many theoretical approaches and implementations have been proposed for the coupling of the three-dimensional ocean circulation with waves. The theoretical models are reviewed and it is shown that the formulation in terms of the quasi-Eulerian velocity circumvents the essential difficulty of alternative formulations for the Lagrangian mean velocity. Namely, models based on this Lagrangian velocity require an estimation of wave-induced motions to first order in the horizontal gradients of the wave field in order to estimate the vertical flux of wave pseudo-momentum. So far, only three-dimensional wave models have been able to provide these estimates, and all published theories based on the simpler Airy theory are not consistent at the leading order, because they ignore or incorrectly estimate the vertical momentum flux. With an adiabatic example on a sloping bottom it is shown that this inconsistency produces very large spurious velocities. These errors are independent of the slope for the inviscid case, and are still significant when a realistic vertical mixing is applied. A quick diagnostic of the potential accuracy of a theoretical model is the vertical profile of the wave-induced forcing terms: if it is not uniform over depth in adiabatic conditions then it will produce spurious artificial flow patterns in conditions with shoaling waves. Although conceptually more challenging, the quasi-Eulerian velocity theories only introduce minor modifications of the solution procedure for the standard primitive equations: a modification of the surface boundary condition for the mass conservation, the addition of the Stokes drift in the tracer advection equations, and sources of momentum and turbulent kinetic energy with associated surface and bottom fluxes. All the necessary modifications of primitive equation models are given in detail. This implementation is illustrated with the MARS3D model, which passes the test of the adiabatic shoaling waves. (C) 2011 Elsevier Ltd. All rights reserved. PY 2011 SO Ocean Modelling SN 1463-5003 PU Elsevier Sci Ltd VL 40 IS 3-4 UT 000297879700005 BP 260 EP 272 DI 10.1016/j.ocemod.2011.09.003 ID 16705 ER EF