Finite volume methods for the incompressible Navier-Stokes equations [electronic resource]

• 作者： Li, Jian.
• 其他作者：
  • Lin, Xiaolin.
  • Chen, Zhangxing.
  • SpringerLink (Online service)
• 其他題名：
  • SpringerBriefs in mathematical methods.
• 出版： Cham : Springer International Publishing :Imprint: Springer
• 叢書名： SpringerBriefs in mathematical methods,
• 主題： Finite volume method. , Navier-Stokes equations. , Computational Physics and Simulations. , Engineering Fluid Dynamics. , Differential Equations.
• ISBN： 9783030946364 (electronic bk.) 、 9783030946357 (paper)
• FIND@SFXID: CGU
• 資料類型: 電子書
• 內容註: 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.
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• 摘要註: 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 fields of engineering, mathematics, physics, and computer sciences.
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