Time Marching: A Step-by-Step Guide to a Flow Solver

Time Marching: A Step-by-Step Guide to a Flow Solver

by Michael Lobo, Larry Elder
     
 

ISBN-10: 029139826X

ISBN-13: 9780291398260

Pub. Date: 09/28/1997

Publisher: Ashgate Publishing, Limited

Product Details

ISBN-13:
9780291398260
Publisher:
Ashgate Publishing, Limited
Publication date:
09/28/1997
Series:
Cranfield Series on Turbomachinery
Pages:
164
Product dimensions:
6.38(w) x 9.49(h) x 0.75(d)

Table of Contents

Preface vii(5)
Figures and Abbreviations: A brief note
xii
1. Time-Marching: General mathematical concepts
1(15)
2. The Euler solver: General layout of the program
16(13)
3. The Euler solver: An in-depth look at particular issues
29(83)
Topic 1. Gridding
31(8)
Topic 2. Geometric computations: projections, areas, etc
39(10)
Topic 3. The unsteady Euler equations: proof of hyperbolicity
49(6)
Topic 4. The initial guess
55(3)
Topic 5. Stability and its effect on the time-step
58(10)
Topic 6. Space-discretization: updating the fundamental variables
68(5)
Topic 7. Artificial dissipation
73(5)
Topic 8. Time-discretization: the Runge-Kutta integration process
78(13)
Topic 9. Boundary conditions
91(13)
Topic 10. General programming details
104(8)
4. The Fortran listing
112(27)
References 139

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