2008 / xx + 213 pages / Softcover / ISBN: 978-0-898716-57-3 / List Price $74.00 / SIAM Member Price $51.80 / Order Code CS06
Keywords: Navier-Stokes equations, finite element, numerical analysis
This book treats the numerical analysis of finite element computational fluid dynamics. Assuming minimal background, the text covers finite element methods; the derivation, behavior, analysis, and numerical analysis of Navier-Stokes equations; and turbulence and turbulence models used in simulations. Each chapter on theory is followed by a numerical analysis chapter that expands on the theory. The chapters contain numerous exercises.
Introduction to the Numerical Analysis of Incompressible Viscous Flows provides the foundation for understanding the interconnection of the physics, mathematics, and numerics of the incompressible case, which is essential for progressing to the more complex ﬂows not addressed in this book (e.g., viscoelasticity, plasmas, compressible ﬂows, coating ﬂows, ﬂows of mixtures of ﬂuids, and bubbly ﬂows). With mathematical rigor and physical clarity, the book progresses from the mathematical preliminaries of energy and stress to ﬁnite element computational ﬂuid dynamics in a format manageable in one semester.
This unified treatment of fluid mechanics, analysis, and numerical analysis is intended for graduate students in mathematics, engineering, physics, and the sciences who are interested in understanding the foundations of methods commonly used for flow simulations.
About the Author
William Layton is a Professor of Mathematics at the University of Pittsburgh. He is the author of numerous papers on computational fluid dynamics, advisor to more than twenty Ph.D. students, and a former Georgia state chess champion. His current interests include turbulence modeling and simulation as well as whitewater kayaking.
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