Finite element methods for computational fluid dynamics : a practical guide / Dmitri Kuzmin, Jari Hämäläinen.

Format:

Book

Author/Creator:

Kuzmin, Dmitri, author.

Hämäläinen, Jari, 1965- author.

Contributor:

Society for Industrial and Applied Mathematics, publisher.

Series:

Computational science and engineering.

Computational science & engineering series

Language:

English

Subjects (All):

Fluid dynamics--Mathematics.

Fluid dynamics.

Finite element method--Data processing.

Finite element method.

Physical Description:

1 PDF (viii, 313 pages) : illustrations (some color).

Place of Publication:

Philadelphia, Pennsylvania : Society for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104), [2015]

System Details:

Mode of access: World Wide Web.

System requirements: Adobe Acrobat Reader.

Summary:

This informal introduction to computational fluid dynamics and practical guide to numerical simulation of transport phenomena covers the derivation of the governing equations, construction of finite element approximations, and qualitative properties of numerical solutions, among other topics. To make the book accessible to readers with diverse interests and backgrounds, the authors begin at a basic level and advance to numerical tools for increasingly difficult flow problems, emphasizing practical implementation rather than mathematical theory. Finite Element Methods for Computational Fluid Dynamics: A Practical Guide; explains the basics of the finite element method (FEM) in the context of simple model problems, illustrated by numerical examples; comprehensively reviews stabilization techniques for convection-dominated transport problems, introducing the reader to streamline diffusion methods, Petrov-Galerkin approximations, Taylor-Galerkin schemes, flux-corrected transport algorithms, and other nonlinear high-resolution schemes; covers Petrov-Galerkin stabilization, classical projection schemes, Schur complement solvers, and the implementation of the k-epsilon turbulence model in its presentation of the FEM for incompressible flow problems; and describes the open-source finite element library ELMER, which is recommended as a software development kit for advanced applications in an online component.

Contents:

Notation and preliminaries

Introduction to numerical methods for PDEs

Equations of fluid dynamics and heat transfer

The basics of the finite element method for the one-dimensional heat equation

The Galerkin finite element method for two-dimensional problems

Stabilization techniques in one dimension

Stabilization techniques in multidimensions

Advanced methods for incompressible flow problems

Further reading.

Notes:

"This SIAM edition is partly based on the Finnish-language book, Elementtimenetelmä virtauslaskennassa (in English: The finite element method in computational fluid dynamics) by J. Hämäläinen and J. Järvinen, CSC Press, 1994."

Description based on title page of print version.

Includes bibliographical references (pages 295-309) and index.

ISBN:

1-61197-361-9

OCLC:

1146547082

Publisher Number:

CS14 SIAM