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

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

Publisher: Springer Berlin Heidelberg
Year: 1997
Tongue: English
Leaves: 595
Category: Library

No coin nor oath required. For personal study only.

✦ Table of Contents

Front Matter....Pages I-XVIII
The Equations of Fluid Dynamics....Pages 1-39
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 115-157
Notions on Numerical Methods....Pages 159-199
The Method of Godunov for Non-linear Systems....Pages 201-220
Random Choice and Related Methods....Pages 221-247
Flux Vector Splitting Methods....Pages 249-271
Approximate-State Riemann Solvers....Pages 273-291
The HLL and HLLC Riemann Solvers....Pages 293-311
The Riemann Solver of Roe....Pages 313-343
The Riemann Solver of Osher....Pages 345-377
High-Order and TVD Methods for Scalar Problems....Pages 379-458
High-Order and TVD Schemes for Non-Linear Systems....Pages 459-495
Splitting Schemes for PDEs with Source Terms....Pages 497-507
Methods for Multi-Dimensional PDEs....Pages 509-549
Multidimensional Test Problems....Pages 551-562
Concluding Remarks....Pages 563-567
Back Matter....Pages 569-593

✦ Subjects

Fluid- and Aerodynamics;Theoretical, Mathematical and Computational Physics;Appl.Mathematics/Computational Methods of Engineering

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📁 Riemann solvers and numerical methods for fluid dynamics: a practical introduction

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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.

Riemann Solvers and Numerical Methods fo

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

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