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Finite Volume Methods for the Incompressible Navier–Stokes Equations

Jian Li, Zhangxing Chen, Xiaolin Lin

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Springer International Publishing img Link Publisher

Naturwissenschaften, Medizin, Informatik, Technik / Theoretische Physik

Beschreibung

The book aims to provide a comprehensive understanding of the most recent developments in finite volume methods. Its focus is on the development and analysis of these methods for the two- and three-dimensional Navier-Stokes equations, supported by extensive numerical results. It covers the most used lower-order finite element pairs, with well-posedness and optimal analysis for these finite volume methods.
The authors have attempted to make this book self-contained by offering complete proofs and theoretical results. While most of the material presented has been taught by the authors in a number of institutions over the past several years, they also include several updated theoretical results for the finite volume methods for the incompressible Navier-Stokes equations.
 
This book is primarily developed to address research needs for students and academic and industrial researchers. It is particularly valuable as a research reference in the fieldsof engineering, mathematics, physics, and computer sciences.
 

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Schlagwörter

stationary Navier-Stokes equations, numerical methods for partial differential equations, nonstationary Navier-Stokes equations, finite volume methods for the incompressible flow, numerical methods for the Navier-Stokes equations, numerical methods for the incompressible Navier-Stokes equations