Ebook: Numerical Solutions of the Euler Equations for Steady Flow Problems
- Tags: Mathematics general
- Series: Notes on Numerical Fluid Mechanics (NNFM) 48
- Year: 1992
- Publisher: Vieweg+Teubner Verlag
- Edition: 1
- Language: English
- pdf
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.
Content:
Front Matter....Pages I-XV
Historical Origins of the Inviscid Model....Pages 1-25
The Euler Equations....Pages 27-45
Fundamentals of Discrete Solution Methods....Pages 47-87
The Finite Volume Concept....Pages 89-121
Centered Differencing....Pages 123-143
Principles of Upwinding....Pages 145-254
Convergence to Steady State....Pages 255-276
A Note on the Use of Supercomputers....Pages 277-279
Coupling of Euler Solutions to Viscous Models....Pages 281-292
Modelling of Vortex Flows: Vorticity in Euler Solutions....Pages 293-322
Methods in Practical Applications....Pages 323-415
Future Prospects....Pages 417-427
Back Matter....Pages 429-449
Content:
Front Matter....Pages I-XV
Historical Origins of the Inviscid Model....Pages 1-25
The Euler Equations....Pages 27-45
Fundamentals of Discrete Solution Methods....Pages 47-87
The Finite Volume Concept....Pages 89-121
Centered Differencing....Pages 123-143
Principles of Upwinding....Pages 145-254
Convergence to Steady State....Pages 255-276
A Note on the Use of Supercomputers....Pages 277-279
Coupling of Euler Solutions to Viscous Models....Pages 281-292
Modelling of Vortex Flows: Vorticity in Euler Solutions....Pages 293-322
Methods in Practical Applications....Pages 323-415
Future Prospects....Pages 417-427
Back Matter....Pages 429-449
....