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portada Mathematics and Finite Element Discretizations of Incompressible Navier–Stokes Flows
Type
Physical Book
Publisher
Author
Collection
Classics in Applied Mathematics
Year
2025
Language
English
Pages
840
Format
Paperback
ISBN13
9781611978117

Mathematics and Finite Element Discretizations of Incompressible Navier–Stokes Flows

Christine Bernardi;Vivette Girault;Frédéric Hecht;Pierre-Arnaud Raviart;Beatrice Riviere (Author) · SIAM - Society for Industrial and Applied Mathematics · Paperback

Mathematics and Finite Element Discretizations of Incompressible Navier–Stokes Flows - Christine Bernardi;Vivette Girault;Frédéric Hecht;Pierre-Arnaud Raviart;Beatrice Riviere

New Book Imported to South Africa
Delivery: 17 Sep - 25 Sep Shipping: 2 to 3 business days.
R 2,217
R 2,217

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Synopsis "Mathematics and Finite Element Discretizations of Incompressible Navier–Stokes Flows"

Investigating the interplay of velocity and pressure in complex fluid dynamics, this work examines finite element techniques to tackle nonlinearity and coupling in incompressible Navier-Stokes equations. It provides rigorous stability proofs, efficient algorithms, and modern discretizations for large-scale simulations.

Navier–Stokes equations are one of the most impactful techniques for modeling physical flow phenomena. The coupling of velocity and pressure, along with the nonlinearity, is a challenge for the mathematical and numerical analysis of these equations. This self-contained book provides a thorough theoretical study of finite element methods for solving incompressible Navier–Stokes equations, which model ?ow of incompressible Newtonian ?uids and are used in many practical applications. It focuses on efficient and widely used finite element methods that are well adapted to large-scale simulations.

In this revised and expanded edition of Girault and Raviart's 1986 textbook Finite Element Methods for Navier–Stokes Equations (Springer-Verlag), readers will find rigorous proof of stability and convergence, analysis of practical algorithms, and a stand-alone chapter on finite element methods that is applicable to a large range of PDEs.

In addition to the basic theoretical analysis, this book covers up-to-date finite element discretizations of incompressible Navier–Stokes equations; a variety of numerical algorithms used in the computer implementation of Navier–Stokes equations and numerical experiments; standard and nonstandard boundary conditions and their numerical discretizations via the finite element methods; and conforming and nonconforming finite elements, as well as their stability and instability.

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