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Steady Periodic Water Waves Solutions Using Asymptotic Approach
Linköping University, Department of Mathematics, Applied Mathematics.
2011 (English)Independent thesis Advanced level (degree of Master (Two Years)), 30 credits / 45 HE creditsStudent thesis
Abstract [en]

The aim of this work is to study the relation between two invariants of water flow in a channel of finite depth. The first invariant is the height of the water wave and the second one is the flow force. We restrict ourselves to water waves of small amplitude. Using asymptotic technique together with the method of separation of variables, we construct all water waves of small amplitude which are parameterized by a small parameter. Then we demonstrate numerically that the flow force depends monotonically on the height.

Place, publisher, year, edition, pages
2011. , 49 p.
Keyword [en]
Steady two dimensional water wave, perturbation approach, separation of variable, pressure head and flow force.
National Category
Engineering and Technology
URN: urn:nbn:se:liu:diva-69421ISRN: LiTH-MAI-EX--2011/14-SEOAI: diva2:427186
Subject / course
Applied Mathematics
Kompakta rummet, 2010-06-14, Kompakta, Hus B, Campus Valla, Linköping, 10:15 (English), Linkoping (English)
Available from: 2011-06-29 Created: 2011-06-27 Last updated: 2011-06-29Bibliographically approved

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