Finite Volume Methods for the Incompressible Navier–Stokes Equations

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. 

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. 

Provides a comprehensive understanding of the most recent developments in finite volume methods Develops and analyzes these methods systematically for the two- and three-dimensional Navier–Stokes equations Serves the research needs of students, as well as academic and industrial researchers

Autor*in

Jian Li

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

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