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Numerical Simulation of Water Exit and Entry Using a Modified Ghost-Cell Immersed Boundary Method

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Abstract

Water exit of a circular cylinder and water entry of a bow-flare ship section are simulated by a modified ghost-cell immersed boundary method. This method is able to simulate complex moving bodies interacting with a highly nonlinear free surface on a fixed Cartesian mesh and it can be easily added to our existing code as a module in a CIP-based model. This model uses the CIP (Constraint Interpolation Profile) method to solve the convection term of the incompressible Navier-Stokes equations and THINC/SW (Tangent of Hyperbola for Interface Capturing with Slope Weighting) method to capture large deformation of the free surface. To verify the modified ghost-cell immersed boundary method, several problems including water exit and entry are tested. Water exit of a circular cylinder on account of the buoyancy is simulated. Water entry of a bow-flare ship section with an inclination angle is also computed. It can be found that the present method can accurately predict the variations of the velocity, slamming load and the free surface against time. The predicted results are in good agreement with published literatures. It validates the reliability of the present solver for complex moving boundary problems.

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Acknowledgements

This study was partially supported by the National Natural Science Foundation of China (Grant No. 51679212), Zhejiang Provincial Natural Science Foundation of China (Grant No. LR16E090002), the Fundamental Research Funds for the Central Universities (Grant No. 2018QNA4041).

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Correspondence to Xizeng Zhao .

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Zheng, K., Zhao, X. (2020). Numerical Simulation of Water Exit and Entry Using a Modified Ghost-Cell Immersed Boundary Method. In: Trung Viet, N., Xiping, D., Thanh Tung, T. (eds) APAC 2019. APAC 2019. Springer, Singapore. https://doi.org/10.1007/978-981-15-0291-0_151

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