This book addresses ocean wave processes and turbulence as they affect oceanography, meteorology, marine and coastal engineering. It will enable applied mathematicians, seafarers, and all others affected by these phenomena to predict and control wave effects on shipping safety, weather forecasting, offshore structures, sediment pollution, and ice dynamics in polar regions. The focus is on analytical and computational methods for solving equations of motion and studying non-linear aspects of waves and turbulence. Results included show how sudden gusts and winds over waves can modify the mechanisms of wave-breaking and oceanic turbulence.The book records the proceedings of the Wind Over Waves conference of the Institute of Mathematics and its Applications at Churchill College, Cambridge. Co-sponsors with the IMA are the Institute of Civil Engineers and the Royal Meteorological Society. - Addresses ocean wave processes and turbulence as they affect oceanography, meteorology, marine and coastal engineering - Focuses on analytical and computational methods for solving equations of motion and studying non-linear aspects of waves and turbulence - Records the proceedings of the Wind Over Waves conference of the Institute of Mathematics and its Applications at Churchill College, Cambridge

A guide is a welcome addition on most any journey. So it is with the greatest of all journeys: the journey to God. One of the Church’s most long-standing and fruitful traditions, spiritual direction is an instrument of God’s glory in the world. The act of clearing the way for the Holy Spirit is a delicate yet challenging matter, and one that requires humility, patience, and charity, among other virtues. Through Wind and Waves is a guidebook for those undertaking this important work. It offers wisdom for both the supernatural and the practical elements of spiritual direction. It shows that being a spiritual guide is not simply a matter of prayer and meditation, but one of a firm interior life, genuine friendship, and the daily realities of living one’s life for the Lord. That life will be marked by adventure, since every soul is unique and is led by the Spirit to blaze new paths to holiness. Filled with wisdom from the saints, as well as Jesus’ words in the Gospels, Through Wind and Waves is a valuable resource for those called to lead others into the safe harbor of God’s love. Rev. Francis Fernández-Carvajal holds graduate degrees in both History and Canon Law. Ordained in 1964, he is a priest of the Opus Dei Prelature and the author of many popular spiritual works. His seven-volume series In Conversation with God provides over 500 meditations to be used throughout the liturgical year. It has sold over 2 million copies and has been translated into many languages.

One of the most familiar phenomena on the planet, water waves remain an elusive question for science. The way in which wind blows over water and causes waves is a very active area of research for applied mathematicians, as well as for oceanographers and engineers. The basic mechanisms are still a matter of controversy, although the use of modern techniques of asymptotic and non-linear analysis and large-scale computation, as well as experimental structures, are beginning to reveal the underlying mechanics. These studies are resulting in increasingly powerful methods of forecasting waves and of gauging and controlling their effects on such things as sediment, pollution, and offshore structures. This volume covers the wide range of current research on the relationship between wind and waves and includes contributions from many of the leading authorities in the field.

This book was published in 2004. The Interaction of Ocean Waves and Wind describes in detail the two-way interaction between wind and ocean waves and shows how ocean waves affect weather forecasting on timescales of 5 to 90 days. Winds generate ocean waves, but at the same time airflow is modified due to the loss of energy and momentum to the waves; thus, momentum loss from the atmosphere to the ocean depends on the state of the waves. This volume discusses ocean wave evolution according to the energy balance equation. An extensive overview of nonlinear transfer is given, and as a by-product the role of four-wave interactions in the generation of extreme events, such as freak waves, is discussed. Effects on ocean circulation are described. Coupled ocean-wave, atmosphere modelling gives improved weather and wave forecasts. This volume will interest ocean wave modellers, physicists and applied mathematicians, and engineers interested in shipping and coastal protection.

This volume presents peer-reviewed papers from the NATO Advanced Research Workshop on Atmospheric Boundary Layers held in April 2006. The papers are divided into thematic sessions: nature and theory of turbulent boundary layers; boundary-layer flows: modeling and applications to environmental security; nature, theory and modeling of boundary-layer flows; air flows within and above urban and other complex canopies: air-sea-ice interaction.

Non-linear behaviour of water waves has recently drawn much attention of scientists and engineers in the fields of oceanography, applied mathematics, coastal engineering, ocean engineering, naval architecture, and others. The IUTAM Symposium on Non-linear Water Waves was organized with the aim of bringing together researchers who are actively studying non-linear water waves from various viewpoints. The papers contained in this book are related to the generation and deformation of non-linear water waves and the non-linear interaction between waves and bodies. That is, various types of non-linear water waves were analyzed on the basis of various well-known equations, experimental studies on breaking waves were presented, and numerical studies of calculating second-order non-linear wave-body interaction were proposed.

Wave breaking represents one of the most interesting and challenging problems for fluid mechanics and physical oceanography. Over the last fifteen years our understanding has undergone a dramatic leap forward, and wave breaking has emerged as a process whose physics is clarified and quantified. Ocean wave breaking plays the primary role in the air-sea exchange of momentum, mass and heat, and it is of significant importance for ocean remote sensing, coastal and ocean engineering, navigation and other practical applications. This book outlines the state of the art in our understanding of wave breaking and presents the main outstanding problems. It is a valuable resource for anyone interested in this topic, including researchers, modellers, forecasters, engineers and graduate students in physical oceanography, meteorology and ocean engineering.

During the 1980's a wealth of information was reported from field and laboratory experiments in order to validate andlor modify various aspects of the surface layer Monin-Obukhov (M-O) similarity theory for use over the sea, and to introduce and test new concepts related to high resolution flux magnitudes and variabilities. For example, data from various field experiments conducted on the North Sea, Lake Ontario, and the Atlantic experiments, among others, yielded information on the dependence of the flux coefficients on wave state. In all field projects, the usual criteria for satisfying M-O similarity were applied. The assumptions of stationarity and homogeneity was assumed to be relevant over both small and large scales. In addition, the properties of the outer layer were assumed to be "correlated" with properties of the surface layer. These assumptions generally required that data were averaged for spatial footprints representing scales greater than 25 km (or typically 30 minutes or longer for typical windspeeds). While more and more data became available over the years, and the technology applied was more reliable, robust, and durable, the flux coefficients and other turbulent parameters still exhibited significant unexplained scatter. Since the scatter did not show sufficient reduction over the years to meet customer needs, in spite of improved technology and heavy financial investments, one could only conclude that perhaps the use of similarity theory contained too many simplifications when applied to environments which were more complicated than previously thought.