This book offers a comprehensive overview of the models and methods employed in the rapidly advancing field of numerical ocean circulation modeling. For those new to the field, concise reviews of the equations of oceanic motion, sub-grid-scale parameterization, and numerical approximation techniques are presented and four specific numerical models, chosen to span the range of current practice, are described in detail. For more advanced users, a suite of model test problems is developed to illustrate the differences among models, and to serve as a first stage in the quantitative evaluation of future algorithms. The extensive list of references makes this book a valuable text for both graduate students and postdoctoral researchers in the marine sciences and in related fields such as meteorology, and climate and coupled biogeochemical modeling.

This encyclopedia is a reference for aquatic physical, biological and biogeochemical sciences, collecting and connecting a number of topics, concepts and facts about aquatic systems and their scientific investigation. The scope of the book comprises the aquatic physiosphere-biosphere transition zone, an entity that encompasses both inanimate matter and collectives (the physiosphere) as well as living organisms and collectives (the biosphere). This combined approach is meaningful because both realms are intimately linked and because available methods of investigation are often similar. Much can be gained from considering both spheres at and across their interface jointly, and while there is a strong focus on marine systems, most concepts presented are also applicable to freshwater systems. This presented snapshot of knowledge of the transition zone between the aquatic physiosphere and biosphere is taken from a very specific angle: the point of view of a modeler. Modeling is not only a state-of-the-art mode of scientific investigation, but also requires the explicit specification of all assumptions (helping to avoid fallacies), and offers the advantage of being quantitative and allows for theoretical "what if" scenarios. As in any reference work, equal emphasis is given to fundamental facts, the definition of terms and the explanation of concepts, in an attempt to establish a joint language for physicists, biologists and biogeochemists. Although originating from a modeler's approach to nature, the resulting suite of compatible concepts may also be useful beyond modeling purposes. Furthermore, the material is presented in a condensed, straightforward way. Hence, the length of each entry is limited to one (occasionally two) pages, thus offering a quick introductory overview. This excludes lengthy derivations and very specialized details. The book is geared towards researchers, teachers and advanced students in the field of aquatic (marine and limnic) sciences, in particular those interested or involved in interdisciplinary work.