Computational Aerodynamics 9781108837880, 9781108943345

Table of contents :
1 - Introduction and Background pp 1-9
2 - Mathematical Models of Fluid Flow pp 10-41
3 - Numerical Methods for the Solution of Partial Differential Equations pp 42-96
4 - Fundamental Stability Theory pp 97-130
5 - Shock Capturing Schemes I: Scalar Conservation Laws pp 131-178

6 - Shock Capturing Schemes II: Systems of Equations and Gas Dynamics pp 179-222
7 - Discretization Schemes for Flows in Complex Multi-dimensional Domains pp 223-275
8 - The Calculation of Viscous flow pp 276-307
9 - Overview of Time Integration Methods pp 308-329
10 - Steady State Problems pp 330-366
11 - Time-Accurate Methods for Unsteady Flow pp 367-386
12 - Energy Stability for Nonlinear Problems pp 387-409
13 - High order Methods for Structured Meshes pp 410-432
14 - High Order Methods for Unstructured Meshes pp 433-464
15 - Aerodynamic Shape Optimization pp 465-495
Appendix A - Vector and Function Spaces pp 496-507
Appendix B - Approximation Theory pp 508-526
Appendix C - Polynomial Interpolation, Differentiation, and Integration pp 527-543
Appendix D - Potential Flow Methods pp 544-563
Appendix E - Fundamental Stability Theory II pp 564-582
Appendix F - Turbulence Models pp 583-588
References pp 589-606
Index pp 607-608
Plates pp 609-612