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Variational principles for hydrodynamic impact problems

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Abstract

We first establish the rigorous field equations of the two continuous stages before and after entering water. Then correspondently, we obtain the specific variational principles, bounded theorems, and boundary integral equations of the second stage problems. The existence of solutions are proved and the scheme of solving the solutions are provided. Finally, as a numerical example, the ship's wave resistence problem is used to demonstrate the specific application of the second stage problems and its accuracy. Then we provide a rigorous and sound theoretical basis of variational finite element method and boundary element method for calculating the accurately fundamental equations.

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Authors and Affiliations

  1. Wuhan Institute of Technology, Wuhan

    Jin Fu-sheng

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  1. Jin Fu-sheng
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Communicated by He You-sheng

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Fu-sheng, J. Variational principles for hydrodynamic impact problems. Appl Math Mech 13, 565–575 (1992). https://doi.org/10.1007/BF02451520

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  • DOI: https://doi.org/10.1007/BF02451520

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