Theoretical and Computational Fluid Mechanics

Theoretical and Computational Fluid Mechanics: Existence Blow-up and Discrete Exterior Calculus Algorithms centralizes the main and current topics in theoretical and applied fluid dynamics at the intersection of a mathematical and non-mathematical environment. The book is accessible to anyone with a basic level of understanding of fluid dynamics and yet still engaging for those of a deeper understanding.The book is aimed at theorists and applied mathematicians from a wide range of scientific fields including the social health and physical sciences. It provides a step-by-step guide to the construction of solutions of both elementary and open problems of viscous and non-viscous models and for the applications of such models for the functional analysis and real analysis of data.FeaturesOffers a self-contained treatment that does not require a previous background in fluid dynamics.Suitable as a reference text for graduate students researchers and professionals and could easily be used as a teaching resource.Provides various examples using Maple Mathematica and to a lesser extent Matlab programming languages.