Our work presents an analytical study of the determination of the reflection coefficient during the interaction between the regular wave current and a horizontal plate. This study was done using the linearized potential flow theory with the evanescent modes model, while searching for complex solutions to the dispersion equation that are neither real pure nor imaginary pure. To validate the established model, it has been confronted with the experimental results of V. Rey and J. Touboul, in a first phase, and then compared to those of the numerical study by H.-X. Lin et al. Then, this model was used to study the effect of current on the reflection coefficient.
On présente dans ce travail une étude analytique de la détermination du coefficient de réflexion lors de l'interaction houle–courant–plaque. Cette étude a été faite dans le cadre de la théorie potentielle linéarisée moyennant le modèle des modes évanescents, en cherchant des solutions complexes de l'équation de dispersion qui ne soient, ni réelles pures, ni imaginaires pures. Pour valider le modèle établi, on l'a d'abord confronté aux résultats expérimentaux de V. Rey et J. Touboul, puis à ceux, issus de la modélisation, de H.-X. Lin et al. Ensuite, on a utilisé ce modèle pour étudier l'effet du courant sur le coefficient de réflexion.
Accepted:
Published online:
Mots-clés : Courant, Houle, Modes évanescents, Réflexion, Équation de dispersion, Solutions complexes
Meriem Errifaiy 1; Smail Naasse 1; Chakib Chahine 1
@article{CRMECA_2016__344_7_479_0, author = {Meriem Errifaiy and Smail Naasse and Chakib Chahine}, title = {Analytical determination of the reflection coefficient by the evanescent modes model during the wave{\textendash}current{\textendash}horizontal plate interaction}, journal = {Comptes Rendus. M\'ecanique}, pages = {479--486}, publisher = {Elsevier}, volume = {344}, number = {7}, year = {2016}, doi = {10.1016/j.crme.2016.03.004}, language = {en}, }
TY - JOUR AU - Meriem Errifaiy AU - Smail Naasse AU - Chakib Chahine TI - Analytical determination of the reflection coefficient by the evanescent modes model during the wave–current–horizontal plate interaction JO - Comptes Rendus. Mécanique PY - 2016 SP - 479 EP - 486 VL - 344 IS - 7 PB - Elsevier DO - 10.1016/j.crme.2016.03.004 LA - en ID - CRMECA_2016__344_7_479_0 ER -
%0 Journal Article %A Meriem Errifaiy %A Smail Naasse %A Chakib Chahine %T Analytical determination of the reflection coefficient by the evanescent modes model during the wave–current–horizontal plate interaction %J Comptes Rendus. Mécanique %D 2016 %P 479-486 %V 344 %N 7 %I Elsevier %R 10.1016/j.crme.2016.03.004 %G en %F CRMECA_2016__344_7_479_0
Meriem Errifaiy; Smail Naasse; Chakib Chahine. Analytical determination of the reflection coefficient by the evanescent modes model during the wave–current–horizontal plate interaction. Comptes Rendus. Mécanique, Volume 344 (2016) no. 7, pp. 479-486. doi : 10.1016/j.crme.2016.03.004. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2016.03.004/
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