Numerical Solutions of the Euler Equations for Steady Flow Problems

by Albrecht Eberle, Arthur Rizzi, Ernst Heinrich Hirschel

Overview

The last decade has seen a dramatic increase of our abilities to solve numerically the governing equations of fluid mechanics. In design aerodynamics the classical potential-flow methods have been complemented by higher modelling-level methods. Euler solvers, and for special purposes, already Navier-Stokes solvers are in use. The authors of this book have been working on the solution of the Euler equations for quite some time. While the first two of us have worked mainly on algorithmic problems, the third has been concerned off and on with modelling and application problems of Euler methods. When we started to write this book we decided to put our own work at the center of it. This was done because we thought, and we leave this to the reader to decide, that our work has attained over the years enough substance in order to justify a book. The problem which we soon faced, was that the field still is moving at a fast pace, for instance because hyper­ sonic computation problems became more and more important.

Product Details

ISBN-13:	9783528076344
Publisher:	Vieweg+Teubner Verlag
Publication date:	01/01/1992
Series:	Notes on Numerical Fluid Mechanics , #48
Edition description:	Softcover reprint of the original 1st ed. 1992
Pages:	448
Product dimensions:	6.10(w) x 9.25(h) x 0.04(d)

Table of Contents

I Historical Origins of the Inviscid Model.- II The Euler Equations.- III Fundamentals of Discrete Solution Methods.- IV The Finite Volume Concept.- V Centered Differencing.- VI Principles of Upwinding.- VII Convergence to Steady State.- VIII A Note on the Use of Supercomputers.- IX Coupling of Euler Solutions to Viscous Models.- X Modelling of Vortex Flows: Vorticity in Euler Solutions.- XI Methods in Practical Applications.- XII Future Prospects.- XIII List of Symbols.- XIV Index of Authors.- XV Subject Index.

Editorial Reviews

A survey of numerical solution methods for the Euler equations of fluid flow, focusing on finite-volume methods, both with central and with upwind differencing. Discussed in depth are the properties of the Euler equations, fundamentals of discrete solution methods, the finite-volume concept, centered differencing, principles of upwinding, and convergence to steady state. Emphasis is on the modeling of vortex flows. A large number of practical application examples demonstrate the versatility and the potential of present-day Euler methods in science and industry. Acidic paper. Annotation c. Book News, Inc., Portland, OR (booknews.com)

Booknews