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Stochastic Wave Impact (KOROBKINAU19SCIC2)


Project Description

Splashing of raindrops, waves crashing onto rocks and ships in storms fighting heavy seas have inspired poets, artists, photographers and scientists. They are images, which are even more intriguing when captured by a high-speed camera. Water impact is important in many industrial and environmental fields, ranging from microfluidics to agriculture and meteor impact on planetary surfaces. Impacts of water drops and waves may produce splash jets and high impulsive forces whilst walls of water driven by wind may slam into a ship or offshore platform damaging them. Yet whilst the subject of water impact remains fascinating, it also poses many challenges.

This PhD project focuses on wave impacts with applications to coastal and offshore engineering. We suggest a result-oriented approach, instead of a traditional deterministic one. This practical approach is a two-way road: for a given range of environmental conditions, we should determine the bounds of stresses in the structure without providing full details of the wave impact. Then for known limits of structural integrity, we need to determine the least severe environmental conditions, which may damage the structure. A difficulty with this approach is that the bounds of interest should be justified - they should be derived from first principles of physics and a minimum number of empirical relations and fitting parameters.

Approximate bounds can be obtained also by running a commercial code for different realizations of environmental conditions. A typical question that this project is intended to answer can be formulated as follows: Is it correct that the stresses in the structure caused by incident waves of given amplitude approaching the structure at a given speed are maximal for an idealized wave with a vertical front and of the same amplitude and speed? The problem with vertical wave front can be solved analytically providing useful and practical formulas.

For more information on the supervisor for this project, please go here: https://people.uea.ac.uk/en/persons/a-korobkin
The type of programme: PhD
The start date of the project: Oct 2019
Acceptable first degree in Mathematics or Engineering and minimum entry requirement is 2:1.

Funding Notes

This PhD project is in a Faculty of Science competition for funded studentships. These studentships are funded for 3 years and comprise UK/EU fees, an annual stipend of £15,009 and £1,000 per annum to support research training. Overseas applicants may apply but they are required to fund the difference between home/EU and overseas tuition fees (which are detailed on the University’s fees pages at View Website . Please note tuition fees are subject to an annual increase).

References

i) Korobkin, A., & Malenica, S. (2016) Rational Assessment of Fluid Impact Loads. In: UK Success Stories in Industrial Mathematics. Springer International Publishing, pp. 99-105.
ii) Chatjigeorgiou, I. K., Cooker, M. J., & Korobkin, A. A. (2016) Three-dimensional water impact at normal incidence to a blunt structure. Proceedings of the Royal Society of London A. 472, No. 2192. 20150849.
iii) Martínez-Legazpi, P., Rodríguez-Rodríguez, J., Korobkin, A., & Lasheras, J.C. (2015) Formation of corner waves in the wake of a partially submerged bluff body. Journal of Fluid Mechanics. 771. pp. 547-563.
iv) Scolan, Y.-M., Korobkin, A.A. (2015) Water entry of a body which moves in more than six degrees of freedom. Proceedings of the Royal Society of London A. 471. 20150058.
v) Korobkin, A.A., Khabakhpasheva, T. I, Malenica, S, & Kim, Y. (2014). A comparison study of water impact and water exit models. International Journal of Naval Architecture and Ocean Engineering. 6(4), 1182-1196.

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