Computation by finite element method of hydrodynamic coefficients of ships in shallow water 1

Abstract

Using two-dimensional linearized potential theory, strip theory and a finite element method, mathematical and numerical models are developed for the computation of the hydrodynamic coefficients of a slender ship form, travelling with forward speed in shallow water.

The theory is applied to the computation of hydrodynamic mass and damping of a Todd Series $60{\mathit{C}}_{\mathit{b}}=0.70$ ship model. Both experimental and numerical results are presented as functions of oscillatory frequency, water depth and forward speed.