This scholarly text provides an introduction to the numerical methods used to model partial differential equations, with focus on atmospheric and oceanic flows. The book covers both the essentials of building a numerical model and the more sophisticated techniques that are now available. Finite difference methods, spectral methods, finite element method, flux-corrected methods and TVC schemes are all discussed. Throughout, the author keeps to a middle ground between the theorem-proof formalism of a mathematical text and the highly empirical approach found in some engineering publications. The book establishes a concrete link between theory and practice using an extensive range of test problems to illustrate the theoretically derived properties of various methods. From the reviews: q...the books unquestionable advantage is the clarity and simplicity in presenting virtually all basic ideas and methods of numerical analysis currently actively used in geophysical fluid dynamics.q Physics of Atmosphere and OceanIntroduction. ThepossibilityofdeterministicweatherpredictionwassuggestedbyVilhelmBjerknes as early as 1904. Around the time of the First World War, Lewis Richardson actually attempted to produce such a forecast by manually integrating ... employed to study phenomena as diverse as global climate change, the interaction of ocean currents with bottom topography, ... and the focus of this book is the study of numerical methods for the solution of time-dependent differential equations.
|Title||:||Numerical Methods for Fluid Dynamics|
|Author||:||Dale R. Durran|
|Publisher||:||Springer Science & Business Media - 2010-09-14|