Finite Volume Methods for the Incompressible Navier–Stokes Equations〈1st ed. 2022〉

著者名：Li, Jian/Lin, Xiaolin/Chen, Zhangxing

Springer（2022/01/20発売）

• 言語：ENG
• ISBN：9783030946357
• eISBN：9783030946364

Description

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.

 

Table of Contents

Mathematical Foundation.- FVMs for the stationary Stokes equations.- FVMs for the stationary Navier-Stokes equations.- FVMs for the stationary for nonstationary Navier Stokes equations.- Glossary.