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Impact hydrodynamique bidimensionnel d'un corps parabolique sur une houle d'Airy reguliere

Abstract : The problem of rigid parabola impact onto a regular Airy wave is considered in this article. The fluid is considered ideal, incompressible and in infinite depth. The liquid flow is assumed to be two-dimensional and potential. The velocity potential induced by the impact of the rigid parabolic body is calculated analytically by means of the Wagner theory. Pressure fields are computed semi-analytically by the Modified Logvinovich Model (MLM) without the fluid kinematics. Different impact models are introduced. Three asymptotic models valid near a previously define point : the crest, the middle and the through. For these three asymptotic models the Airy wave is approximated by a polynomial. Another model is presented, it is not asymptotic and it can take into account all the impact configurations of asymptotic models. For this last model the real shape of the Airy wave is retained. Three asymptotic models are compared for the following physical quantities : the wetted corrections, the pressure fields and the hydrodynamic loads. The case of a parabola impacting on a plane free surface is taken as a reference. It is shown that the configuration generating the more important hydrodynamic loading is obtained when the impact is in the through and when the parabola radius is close to the wave radius. For impact configurations near the crest and the through, asymptotic models are compared to the non-asymptotic model. We show that for an impact near the crest there is no difference between the two models. But when the impact is near the through, slight differences are obtained in terms of slamming coefficient. These differences come from the wetted correction which is overestimated by the asymptotic model. This is due to the polynomial approximation made on the wave profile.
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Submitted on : Tuesday, June 1, 2021 - 11:37:50 AM
Last modification on : Tuesday, March 15, 2022 - 3:03:57 AM
Long-term archiving on: : Thursday, September 2, 2021 - 6:39:49 PM

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Antoine Morvan, Yves-Marie Scolan. Impact hydrodynamique bidimensionnel d'un corps parabolique sur une houle d'Airy reguliere. La Houille Blanche - Revue internationale de l'eau, EDP Sciences, 2017, 103 (6), pp.49 - 56. ⟨10.1051/lhb/2017058⟩. ⟨hal-01784387⟩

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