Truncation Approximations for Gravity-capillary Free-surface Flows

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Abstract

Gravity-capillary free-surface flows past disturbances in a channel of finite depth are considered. These flows are usually assumed to extend from x = −∞ to x = ∞ where the x-axis is parallel to the bottom. Many numerical schemes truncate this infinite domain to the interval −B < x < A where A and B are large positive numbers. These truncations introduce inaccuracies, especially when the effect of surface tension is included. In this paper numerical methods are presented which remove these inaccuracies. This is achieved by taking into account the contributions from −∞ to −B and from A to ∞. Explicit computations are presented for a semi-circular obstacle at the bottom of the channel.

Keywords

boundary-integral-equation methods free-surface flows gravity-capillary waves 
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Copyright information

© Springer 2006

Authors and Affiliations

  1. 1.School of MathematicsUniversity of East AngliaNorwichEngland

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