Computational aerodynamics is a relatively new field in engineering that investigates aircraft flow fields via the simulation of fluid motion and sophisticated numerical algorithms. This book provides an excellent reference to the subject for a wide audience, from graduate students to experienced researchers and professionals in the aerospace engineering field. Opening with the essential elements of computational aerodynamics, the relevant mathematical methods of fluid flow and numerical methods for partial differential equations are presented. Stability theory and shock capturing schemes, and vicious flow and time integration methods are then comprehensively outlined. The final chapters treat more advanced material, including energy stability for nonlinear problems, and higher order methods for unstructured and structured meshes. Presenting over 150 illustrations, including representative calculations on unstructured meshes in color. This book is a rich source of information that will be of interest and importance in this pioneering field.
Author(s): Antony Jameson
Series: Cambridge Aerospace Series
Publisher: Cambridge University Press
Year: 2022
Language: English
Pages: 612
City: Cambridge
Tags: Aerodynamics, Fluid Flow, Finite Elements, Gas Dynamics, Shocks
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
