Proceedings of the NATO Advanced Study Institute, Lisbon, Portugal, July 4-15, 1988

Modelling forms a vital part of all engineering design, yet many hydraulic engineers are not fully aware of the assumptions they make. These assumptions can have important consequences when choosing the best model to inform design decisions. Considering the advantages and limitations of both physical and mathematical methods, this book will help you identify the most appropriate form of analysis for the hydraulic engineering application in question. All models require the knowledge of their background, good data and careful interpretation and so this book also provides guidance on the range of accuracy to be expected of the model simulations and how they should be related to the prototype. Applications to models include: open channel systems closed conduit flows storm drainage systems estuaries coastal and nearshore structures hydraulic structures. This an invaluable guide for students and professionals.

Water. Except for air, it is the most important ingredient to all life on Earth. It surrounds us every day. We are literally bathed in it, we cook our food with it, and we need a steady stream of it in our bodies every single day just to survive. But water, and the study of it, is one of the most important and unheralded branches of engineering, affecting every other aspect of engineering in almost every industry. We harness its power for energy, we inject massive blasts of it into the earth to extract oil, gas, and minerals, and we use it in nearly every single industrial application, including food processing, refining, manufacturing, and waste disposal, just to name a few. Hyraulic modeling is, essentially, the understanding and prediction of fluid flow and its applications in industrial, municipal, and environmental settings, whether in a creekbed, locked in the pores of rocks deep in the earth, or in the ocean. Mathematical models, which started out with mechanical pencils and drafting tables originally, have been increasingly relied upon over the last few decades, due to the invention, growth, and refinement of computers. Physical modeling, however, is still practiced in laboratories, and it is the intersection of physical and mathematical modeling of fluid flow that is most successful in creating models that are safer, less costly, and are better for the environment. Hydraulic Modeling introduces and explores this incredibly important science, from the most basic tenets to valuable real-world applications that are used in industry today. It is the only volume on the market to offer a thorough coverage of the subject without adding lots of useless fluff or inapplicable appendices. It is a must-have for any engineer, scientist, or student working with hydraulic modeling, as a daily reference or a textbook.

A powerful, unified approach to mathematical and computational modeling in science and engineering Mathematical and computational modeling makes it possible to predict the behavior of a broad range of systems across a broad range of disciplines. This text guides students and professionals through the axiomatic approach, a powerful method that will enable them to easily master the principle types of mathematical and computational models used in engineering and science. Readers will discover that this axiomatic approach not only enables them to systematically construct effective models, it also enables them to apply these models to any macroscopic physical system. Mathematical Modeling in Science and Engineering focuses on models in which the processes to be modeled are expressed as systems of partial differential equations. It begins with an introductory discussion of the axiomatic formulation of basic models, setting the foundation for further topics such as: Mechanics of classical and non-classical continuous systems Solute transport by a free fluid Flow of a fluid in a porous medium Multiphase systems Enhanced oil recovery Fluid mechanics Throughout the text, diagrams are provided to help readers visualize and better understand complex mathematical concepts. A set of exercises at the end of each chapter enables readers to put their new modeling skills into practice. There is also a bibliography in each chapter to facilitate further investigation of individual topics. Mathematical Modeling in Science and Engineering is ideal for both students and professionals across the many disciplines of science and engineering that depend on mathematical and computational modeling to predict and understand complex systems.

This is a teaching guide and reference to treating nonlinear mathematical problems in hydraulic, hydrologic and coastal engineering--