Applicable Atmospheric Dynamics: Techniques For The Exploration Of Atmospheric Dynamics (ePub)

This book offers an overview of advanced techniques to study atmospheric dynamics by numerical experimentation. It is primarily intended for scientists and graduate students working on interdisciplinary research problems at the intersection of the atmospheric sciences, applied mathematics, statistics and physics. Scientists interested in adopting techniques from the atmospheric sciences to study other complex systems may also find most of the topics covered in the book interesting. The specific techniques covered in the book have either proven or potential value in solving practical problems of atmospheric dynamics.Contents:Governing Equations:IntroductionPrimitive EquationsRepresentation of the Location with CoordinatesAlternate Vertical CoordinatesVorticity and Divergence EquationsPotential Vorticity (PV)Integral InvariantsPerturbation Dynamics:IntroductionZonal-Mean Structure of the AtmosphereQuasi-Geostrophic Baroclinic EquationsAtmospheric WavesNumerical Models:IntroductionDynamical CoresSpatial DiscretizationTemporal DiscretizationParameterization SchemesState-of-the-Art Numerical ModelsSimplified and Idealized Numerical ModelsMeasures of Forecast ErrorModels as Dynamical SystemsData Assimilation:IntroductionGeneral Formulation for Normally Distributed Observation Errors3-Dimensional Schemes4-Dimensional AlgorithmsAccounting for Model Errors and Observation BiasAssimilating Satellite-based ObservationsFrequently Assimilated Observation TypesReanalysis Data SetsReadership: Researchers and graduate students in the fields of atmospheric sciences, physics, applied mathematics, statistics and scientific computing; academics and industrial researchers working with complex systems.Key Features:Serves as a “one-stop-shop” for interdisciplinary research groups, such as those in physics, applied mathematics and statisticsBrings together materials, which have traditionally been presented separately in books on atmospheric or geophysical fluid dynamics, numerical weather prediction, data assimilation, dynamical systems and chaos, signal processing and information theory