Applied Mathematics and Mechanics (English Edition) ›› 2012, Vol. 33 ›› Issue (11): 1467-1480.doi: https://doi.org/10.1007/s10483-012-1636-9

• 论文 • 上一篇    

Dissipative free-surface solver for potential flow around hydrofoil distributed with doublets

陈志敏, W. G. PRICE   

  1. Ship Science, University of Southampton, Southampton SO17 1BJ, UK
  • 收稿日期:2012-01-10 修回日期:2012-06-22 出版日期:2012-11-10 发布日期:2012-11-10
  • 通讯作者: Zhi-min CHEN, Ph. D., E-mail: z.chen@soton.ac.uk E-mail:z.chen@soton.ac.uk

Dissipative free-surface solver for potential flow around hydrofoil distributed with doublets

Zhi-min CHEN, W. G. PRICE   

  1. Ship Science, University of Southampton, Southampton SO17 1BJ, UK
  • Received:2012-01-10 Revised:2012-06-22 Online:2012-11-10 Published:2012-11-10

摘要: A doublet integral equation is formulated for the two-dimensional dissipative potential flow around a hydrofoil submerged below a free-water surface. The free-water surface is assumed to involve energy dissipation, and thus it is the source of damping. A doublet panel method is developed from incorporation of the dissipative Green function approach and the doublet distributions on the hydrofoil surface. Numerical computations are implemented, and the derived numerical results are in good agreement with analytic solutions and experimental measurements.

关键词: panel method, potential flow, free-surface wave, energy dissipation, hydrofoil, compressible boundary layer, secondary instability, perturbation

Abstract: A doublet integral equation is formulated for the two-dimensional dissipative potential flow around a hydrofoil submerged below a free-water surface. The free-water surface is assumed to involve energy dissipation, and thus it is the source of damping. A doublet panel method is developed from incorporation of the dissipative Green function approach and the doublet distributions on the hydrofoil surface. Numerical computations are implemented, and the derived numerical results are in good agreement with analytic solutions and experimental measurements.

Key words: panel method, potential flow, free-surface wave, energy dissipation, hydrofoil, compressible boundary layer, secondary instability, perturbation

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