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Two-way coupling between potential and viscous flows for a marine application

Abstract : The present study proposes a two-way coupling methodology between potential and viscous flow models for a marine application. A hypothesis that the functional quantities of total flow can be decomposed into the incident and complementary parts is assumed. The nonlinear potential flow model for incident flow is available. Therefore the complementary flow is only concerned in the potential and viscous flow models. The computational domain for complementary flow is decomposed. In the vicinity of structure, the viscous flow model based on Spectral Wave Explicit Navier-Stoke Equations (SWENSE) is used. A linear potential flow model based on Poincaré velocity representation is applied to simulate the complementary wave in the far-field. The fluid velocity and wave elevation are used to couple the potential and viscous flow models. A preliminary study on the coupling is conducted and the necessity to a fast evaluation of potential flow is raised. The nonlinear potential flow models for incident waves are summarized and the reconstruction procedure in the viscous flow solver is proposed and validated with the simulation and experiments. A new Poincaré’s velocity representation for time domain free surface flow is introduced with a circular cylindrical matching surface. The proposed representation is validated with the linear radiation-diffraction problem and the results show good agreements. The viscous flow solver based on SWENSE method with Level-Set interface modeling is proposed. The potential and viscous flow models are coupled and the results show that the coupling can enhance the first- and second-order forces acting on the structure.
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Submitted on : Thursday, February 27, 2020 - 4:38:09 PM
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Young-Myung Choi. Two-way coupling between potential and viscous flows for a marine application. Fluids mechanics [physics.class-ph]. École centrale de Nantes, 2019. English. ⟨NNT : 2019ECDN0046⟩. ⟨tel-02493305⟩

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