Published: January 2024
ISBN (printed): 978-90-833476-7-7
This Water Monograph shows the benefit of using relaxed variational methods for the water waves problem. It illustrates the advantage of using a variational principle involving as many dependent variables as possible. Its primary purpose here is to provide a generalized framework for deriving model equations for water waves. This methodology is elucidated through a range of examples, a number of which are entirely novel.
Opinions from experts
"This Water Monograph takes the subject of variational principles for water waves to a new level. Lagrangians such as Luke’s are improved via relaxation where a sequence of constraints are added, enforced by Lagrange multipliers, that may be exact or approximate and, in the latter case, a range of new and surprising model equations for water waves emerge, without the need to introduce a small parameter. It is a highly effective strategy and produces Lagrangian, Hamiltonian and multisymplectic structures with equal ease."
Prof. Tom Bridges, University of Surrey, UK
“There are various interesting and new results offered worthy of a great monograph: constrained modelling with rotational aspect leading to advanced Serre-type equations, the seemingly improved shallow-water modelling over uneven bottoms and very good numerical results.”
Prof. Onno Bokhove, University of Leeds, UK
“This monograph provides an excellent introduction into the topic of model equations arising from the relaxed variational principle. This includes many well-known approximate models, such as Serre and Green–Naghdi equations, but also several new model equations. The main idea is that one can choose different approximations for all parameters in the relaxed Lagrangian.”
Dr. Evgeniy Lokharu, Lund University, Sweden
The manuscript is very well-written, accessible, and of appropriate length. The main results are clearly stated. For each new model which is proposed, the physical limits are discussed with scientific honesty and rigour. The authors wish to convince the reader that the variational formulations are more efficient and much simpler to derive approximate models than classical asymptotic expansions. Indeed, the manuscript is rather convincing and nevertheless very interesting to read. Overall, the present monograph is a very valuable contribution to the understanding of the water waves problem, both from the theoretical point of view and the numerical point of view.
Dr. Boris Kolev, ENS Paris-Saclay, France
How to cite
Clamond, Didier, Dutykh, Denys, Mitsotakis, Dimitrios. Variational approach to water waves modelling. IAHR WATER MONOGRAPHS, International Association for Hydro-Environment Engineering and Research (IAHR), Spain. (2024) https://doi.org/10.3850/978-90-833476-6-0_IAHR_Watermonograph_003
With the support of Northwest Hydraulic Consultants (NHC) and VorTech-Water Solutions.
By Robert Ettema, David Z. Zhu, Susan J. Gaskin, Sean Mulligan, Troy C. Lyons, Robert Boes, Shu Ning Chan, Joseph H. W. Lee
Published: August 2023
ISBN (electronic): 978-90-833476-0-8
ISBN (printed): IS978-90-833476-1-5
This Water Monograph shows how designers use swirl and vortex generation to design vortex-flow intakes used to create vortex flows in dropshafts. Special focus is given to tangential vortex intakes, as this form is becoming especially common in urban areas. In addition, this monograph considers when swirl and vortex formation are undesired for intakes, especially submerged intakes such as used for hydropower and pumps. In so doing, this monograph serves as an update of the valuable 1987 IAHR monograph. The use of vortex-flow intakes has grown substantially since IAHR’s original monograph and will continue to grow in the foreseeable future.
About the authors
Robert Ettema, Professor, Civil and Environmental Engineering. Colorado State University, Colorado, USA
David Z. Zhu, Professor, Ningbo University, Zhejiang, China and Professor Emeritus of Civil and Environmental
Engineering. University of Alberta, Alberta, Canada
Susan J. Gaskin, Professor, Civil Engineering. McGill University, Quebec, Canada
Sean Mulligan, Founder and CEO at VorTech Water Solutions Ltd. Galway, Ireland
Troy C. Lyons, Associate Director and Director of Engineering Services, IIHR—Hydroscience & Engineering. University of Iowa, Iowa, USA
Robert Boes, Professor, Laboratory of Hydraulics. Hydrology and Glaciology (VAW), ETH Zurich, Switzerland
Shu Ning Chan, Research Assistant Professor (former), Department of Civil and Environmental Engineering. The Hong Kong University of Science and Technology, Hong Kong SAR China
Joseph H. W. Lee, President and Chair Professor, Macau University of Science and Technology. Macao SAR China
Opinions from experts
"This IAHR Water Monograph offers a comprehensive overview of the hydraulics of swirling flows commonly encountered in vortex dropshafts, reservoir intakes, and pump intakes. It encompasses significant advancements in our understanding of swirling flows over the past few decades, attributed to the progress in numerical modelling and laboratory measurement technology. The monograph provides valuable guidance for researchers, hydraulic modellers, and engineers engaged in studying and working with swirling flows and vortex intake design."
Can Hua (Ken) Zhao
How to cite
Ettema, Robert, Zhu David Z, et al. Vortex- flow intakes. IAHR WATER MONOGRAPHS, International Association for Hydro-Environment Engineering and Research (IAHR), Spain. pp1-140, (2024). https://www.iahr.org/library/infor?pid=28033
Published: June 2022
ISBN (electronic): 978-90-824846-9-4
ISBN (printed): 978-90-832612-0-1
The mission of Contribution to the Theory of Undular Bores. A journey around the Korteweg—de Vries equation is to describe some of the most important and classic theoretical features of undular bores, with the aim of enabling an engineer (or a non-specialist researcher) to journey through this beautiful topic of mathematical physics.Undular bores are water-surface oscillations that propagate between two levels of stationary water. They occur under various circumstances (such as tides, tsunamis, river dams and lock operations) and are a visible part of a larger group of physical phenomena termed dispersive shock waves. Readers will learn in a rigorous way but without difficult mathematical concepts, the theoretical developments that begun at the end of 19th century.
About the author
Damien Violeau was educated at Ecole des Ponts (literally, the ‘School of Bridges’), one of the most prestigious French scientific educational institutes, where he is now full professor. Also, he is a senior Research engineer at EDF, one of the biggest energy companies in the world. His main fields of interest are free-surface flows, turbulent flows, numerical simulation, coastal protection and river-water works. In 2015, he was awarded Arthur T. Ippen award by IAHR.
Opinions from experts
"This is a very interesting book on the computations of undular bores using the Korteweg—de Vries equation. The author is right in stating that the mathematical apparatus for the solution of this approach is not well known in hydraulic engineering, given that it mainly was developed by mathematicians and physicists working on ocean dynamics. From this perspective, I think it is a welcome idea to present this material under the umbrella of IAHR, thereby making it accessible to hydraulic engineers."
"The raison d’être of this text is obvious: it is written simply in an accessible and clear language. There are very few texts within the mathematical literature which could compete with the present manuscript in terms of clarity. The exposition is wonderfullly pedagogical, but this is unsurprising if you ever had the opportunity to listen to Prof. Violeau’s lectures."
How to order?
If you wish to order printed copies, contact email@example.com Price: EUR 53 plus postage rates and taxes (if any at the ordering country).
How to cite?
Violeau, Damien. Contribution to the Theory of Undular Bores. A Journey around the Korteweg-de Vries Equation. IAHR WATER MONOGRAPHS, International Association for Hydro-Environment Engineering and Research (IAHR), Spain. pp1-131, (2022). https://www.iahr.org/library/infor?pid=20693
This series presents information on physical processes, measurement techniques, theoretical material, numerical modeling techniques, engineering applications, and historical and cultural matters in an appealing readable and well-illustrated manner.
IAHR publishing tradition | Since 1984 supporting influential books
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Directly or in partnership with professional houses, IAHR has published the most renown books in the field of hydraulics, ie Turbulence Models and their Application in Hydraulics” by W Rodi, first published in 1984 by Balkema and I Nezu's book "Turbulence in Open Channel Flows and long-lasting books as Hydraulicians in Europe and Hydraulicians in USA by W. Hager
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Practical Flooding Risk Assessment for Development Projects | Alastair Barnett
Hydraulic design guidance in a changing climate | Roberto Ranzi, Abdalla A. Ahmed, Deg-Hyo Bae, Kenichiro Kobayashi, Iñigo Losada Rodriguez, Guinevere Nalder, Bregie van Wesenbeeck
Artificial intelligence in hydroinformatics | Ibrahim Demir, Gabriele Freni, Duan Chen, Orazio Giustolisi, Dimitri Solomatine
Measurement of gravel bedload in wadeable mountain streams | Kristin Bunte, Kurt W. Swingle
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