Journal of Hydrodynamics

, Volume 18, Issue 1, pp 45–48 | Cite as

Exact variational formulation of free-surface gravity flow around hydrofoils accounting for surface tension

  • Gao-Lian Liu
Session A1


A variational principle family using stream function is formulated for the free surface hydrofoil flow under gravity, taking full advantage of the functional variation with variable domain for handling the free surface and accounting exactly for the surface tension. This theory offers a new theoretical basis for the finite element analysis of free surface flow accounting for the surface tension effect.

Key words

free surface flow variational principle finite element method hydrodynamics surface tension 


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Copyright information

© China Ship Scientific Research Center 2006

Authors and Affiliations

  • Gao-Lian Liu
    • 1
  1. 1.Institute of MechanicsShanghai UniversityShanghaiChina

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