%0 Journal Article %9 ACL : Articles dans des revues avec comité de lecture répertoriées par l'AERES %A Illig, Serena %A Cadier, E. %A Bachelery, M. L. %A Kersale, M. %T Subseasonal coastal-trapped wave propagations in the Southeastern Pacific and Atlantic Oceans : 1. A New approach to estimate wave amplitude %D 2018 %L fdi:010073733 %G ENG %J Journal of Geophysical Research : Oceans %@ 2169-9275 %K coastal-trapped waves ; modal decomposition ; ocean model simulations ; linear coastal model ; subseasonal variability ; eastern boundary ; upwelling systems %K PACIFIQUE SUD EST ; ATLANTIQUE SUD EST %M ISI:000440834100002 %N 6 %P 3915-3941 %R 10.1029/2017jc013539 %U https://www.documentation.ird.fr/hor/fdi:010073733 %> https://www.documentation.ird.fr/intranet/publi/2018/08/010073733.pdf %V 123 %W Horizon (IRD) %X The Humboldt and the Benguela upwelling systems are connected to the equatorial variability through the coastal waveguide, so that a large variance of the coastal sea level and current variability can be described as an infinite sum of orthonormal free Coastal-Trapped Wave (CTW) modes. The objective of this study is to infer the CTW mode contributions to the coastal variability in both systems at subseasonal timescales (<120 days) from regional ocean circulation model simulations. We develop and validate twin regional model configurations of the southeastern Pacific and Atlantic Oceans. Cross-shore spatial structures of the first four free CTW modes are then derived from model mean stratification and topography along the southwestern African and South American continents. We introduce and validate a new methodology to estimate the gravest CTW mode contributions to model pressure and alongshore current. Our formulation draws on the orthonormality of the CTW modal structures, and uses a simple projection of the coastal and bottom model pressure onto each CTW structure. Results give confidence in the ability of this modal decomposition methodology to disentangle CTW mode contributions from complex nonlinear coastal processes that control the coastal subseasonal variability. In both systems, it allows to successfully extract the gravest poleward propagating CTW modes with velocities close to the theoretical values and amplitudes consistent with the solutions of a simple multimode linear CTW model. Furthermore, results show that both systems exhibit relatively different CTW dynamics and forcings which are discussed in the companion paper (Illig et al., 2018). Plain Language Summary Coastal-trapped waves propagate in the ocean along the continental shelves, with the coast on their left in the southern hemisphere. They exert an important influence on the coastal circulation and mixing, with notable implications for productive ecosystems. We introduce a new methodology to estimate the amplitude of these waves and their contribution to the coastal sea level and alongshore current variability. It benefits from a relatively simple implementation and is adapted to ocean model solutions. We validate this method using twin regional ocean model configurations of the southeastern Pacific and Atlantic Oceans. This novel approach allows to successfully extract the contribution of the southward propagating coastal waves in these two different systems, with velocities close to the theoretical values and amplitudes consistent with the dynamics of a simple linear coastal model. This gives confidence in the ability of this new technique to disentangle coastal wave contributions from complex nonlinear processes that control the ocean variability in coastal fringes. Furthermore, results show that both systems exhibit drastic differences in the coastal wave dynamics at subseasonal timescales (<120 days) which are discussed in the companion paper (Illig et al., 2018). %$ 032 ; 020