Riemann Solvers and Numerical Methods for Fluid Dynamics: A Practical Introduction

✍ Scribed by Prof. Dr. Eleuterio F. Toro (auth.)

Publisher: Springer Berlin Heidelberg
Year: 1999
Tongue: English
Leaves: 634
Category: Library

No coin nor oath required. For personal study only.

✦ Table of Contents

Front Matter....Pages I-XIX
The Equations of Fluid Dynamics....Pages 1-40
Notions on Hyperbolic Partial Differential Equations....Pages 41-85
Some Properties of the Euler Equations....Pages 87-113
The Riemann Problem for the Euler Equations....Pages 115-162
Notions on Numerical Methods....Pages 163-212
The Method of Godunov for Non-linear Systems....Pages 213-235
Random Choice and Related Methods....Pages 237-264
Flux Vector Splitting Methods....Pages 265-291
Approximate-State Riemann Solvers....Pages 293-313
The HLL and HLLC Riemann Solvers....Pages 315-339
The Riemann Solver of Roe....Pages 341-372
The Riemann Solver of Osher....Pages 373-407
High-Order and TVD Methods for Scalar Equations....Pages 409-488
High-Order and TVD Schemes for Non-Linear Systems....Pages 489-525
Splitting Schemes for PDEs with Source Terms....Pages 527-538
Methods for Multi-Dimensional PDEs....Pages 539-579
Multidimensional Test Problems....Pages 581-592
Concluding Remarks....Pages 593-598
Back Matter....Pages 599-624

✦ Subjects

Engineering Fluid Dynamics;Computational Intelligence;Fluid- and Aerodynamics;Computational Mathematics and Numerical Analysis;Numerical and Computational Physics

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Provides a comprehensive, coherent and practical presentation of Riemann Solvers and Numerical methods. Designed to provide an understanding of the basic concepts, the underlying theory, and the required information of the practical implementation of these techniques.

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📁 Riemann Solvers and Numerical Methods for Fluid Dynamics: A Practical Introduction

✍ Eleuterio F. Toro 📂 Library 📅 1999 🏛 Springer 🌐 English