Exponential asymptotics and free-surface flows

Thesis

When traditional linearised theory is used to study free-surface flows past a surface-piercing object or over an obstruction in a stream, the geometry of the object is usually lost, having been assumed small in one or several of its dimensions. In order to preserve the nonlinear nature of the geometry, asymptotic expansions in the low-Froude or low-Bond limits can be derived, but here, the solution invariably predicts a waveless free-surface at every order. This is because the waves are in...

Expand abstract

Authors: Trinh, P

• Publication date: 2010
• Type of award: DPhil
• Level of award: Doctoral
• Awarding institution: Oxford University, UK
• Language: English
• Keywords: free-surface flows; asymptotic approximations; gravity-capillary waves; water waves; ship hydrodynamics; exponential asymptotics
• Subjects: Fluid mechanics (mathematics); Ordinary differential equations; Ocean and coastal engineering; Approximations and expansions