A hybrid integral‐equation method for steady two‐dimensional ship waves

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Abstract
This paper presents a novel integral‐equation technique for solving the steady‐state wave‐resistance problem. The free‐surface condition is linearized, but the body condition is satisfied exactly. An integral relation describing the flow inside an arbitrarily truncated internal region is first obtained by applying Green's Theorem, using only the simple source function for an infinite fluid. The internal flow is next matched with eigen expansions in the upstream and downstream outer regions. The radiation condition can be satisfied exactly simply by a proper choice of the solution form in these outer regions. The method is applied to investigate flows about both lifting and non‐lifting two‐dimensional bodies. Agreement with existing results is excellent. The present formulation provides a simple yet rational basis for tackling the practical three‐dimensional ship‐wave problem, in which past workers have encountered considerable difficulties using a complicated free‐surface Green function.

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