Fundamentals of Computational Fluid Dynamics / Edition 1

Fundamentals of Computational Fluid Dynamics / Edition 1

3.0 1
by H. Lomax
     
 

ISBN-10: 3642074847

ISBN-13: 9783642074844

Pub. Date: 05/26/2011

Publisher: Springer Berlin Heidelberg

The chosen semi-discrete approach of a reduction procedure of partial differential equations to ordinary differential equations and finally to difference equations gives the book its distinctiveness and provides a sound basis for a deep understanding of the fundamental concepts in computational fluid dynamics.

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Overview

The chosen semi-discrete approach of a reduction procedure of partial differential equations to ordinary differential equations and finally to difference equations gives the book its distinctiveness and provides a sound basis for a deep understanding of the fundamental concepts in computational fluid dynamics.

Product Details

ISBN-13:
9783642074844
Publisher:
Springer Berlin Heidelberg
Publication date:
05/26/2011
Series:
Scientific Computation Series
Edition description:
Softcover reprint of hardcover 1st ed. 2001
Pages:
250
Product dimensions:
6.10(w) x 9.25(h) x 0.36(d)

Table of Contents

1. Introduction.- 2. Conservation Laws and the Model Equations.- 3. Finite-Difference Approximations.- 4. The Semi-Discrete Approach.- 5. Finite-Volume Methods.- 6. Time-Marching Methods for ODE’S.- 7. Stability of Linear Systems.- 8. Choosing a Time-Marching Method.- 9. Relaxation Methods.- 10. Multigrid.- 11. Numerical Dissipation.- 12. Split and Factored Forms.- 13. Analysis of Split and Factored Forms.- Appendices.- A. Useful Relations from Linear Algebra.- A.1 Notation.- A.2 Definitions.- A.3 Algebra.- A.4 Eigensystems.- A.5 Vector and Matrix Norms.- B. Some Properties of Tridiagonal Matrices.- B.1 Standard Eigensystem for Simple Tridiagonal Matrices.- B.2 Generalized Eigensystem for Simple Tridiagonal Matrices.- B.3 The Inverse of a Simple Tridiagonal Matrix.- B.4 Eigensystems of Circulant Matrices.- B.4.1 Standard Tridiagonal Matrices.- B.4.2 General Circulant Systems.- B.5 Special Cases Found from Symmetries.- B.6 Special Cases Involving Boundary Conditions.- C. The Homogeneous Property of the Euler Equations.

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