Generalised Wagner model of water impact by numerical conformal mapping

Khabakhpasheva, T. I., Kim, Yonghwan and Korobkin, A. A. (2014) Generalised Wagner model of water impact by numerical conformal mapping. Applied Ocean Research, 44. pp. 29-38. ISSN 0141-1187

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Abstract

A numerical method to solve the problem of symmetric rigid contour entering water vertically at a given time-dependent speed is presented. The method is based upon the so-called generalised Wagner model. Within this model the body boundary condition is imposed on the actual position of the entering surface, the free-surface boundary conditions are linearised and imposed on the pile-up height, which is determined as part of the solution. The hydrodynamic pressure is given by the non-linear Bernoulli equation. The hydrodynamic pressures which are below the atmospheric value are disregarded. The conformal mapping of the flow region onto the lower half-plane is used. The velocity potential of the flow is given in analytical form once this mapping is known. The conformal mapping is calculated numerically. The obtained results are validated with respect to the known solutions for wedge and circular cylinder. The novelty and practical importance of the present approach are due to a special accurate treatment of the flows and the pressures close to the contact points between the entering body and water free surface. This special treatment is required for reliable prediction of the hydrodynamic pressure along the wetted part of the contour during its impact onto the water surface and the subsequent entry.

Item Type: Article
Uncontrolled Keywords: conformal mapping,wagner theory,water impact,ocean engineering ,/dk/atira/pure/subjectarea/asjc/2200/2212
Faculty \ School: Faculty of Science > School of Mathematics
Related URLs:
Depositing User: Pure Connector
Date Deposited: 23 Jun 2016 23:11
Last Modified: 22 Apr 2020 00:55
URI: https://ueaeprints.uea.ac.uk/id/eprint/59547
DOI: 10.1016/j.apor.2013.10.007

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