EXACT VARIATIONAL FORMULATION OF FREE-SURFACE GRAVITY FLOW AROUND HYDROFOILS ACCOUNTING FOR SURFACE TENSION

摘要

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.