Book contents
- Frontmatter
- Dedication
- Contents
- Preface
- Acknowledgments
- 1 Introduction and Background
- 2 Mathematical Models of Fluid Flow
- 3 Numerical Methods for the Solution of Partial Differential Equations
- 4 Fundamental Stability Theory
- 5 Shock Capturing Schemes I: Scalar Conservation Laws
- 6 Shock Capturing Schemes II: Systems of Equations and Gas Dynamics
- 7 Discretization Schemes for Flows in Complex Multi-dimensional Domains
- 8 The Calculation of Viscous flow
- 9 Overview of Time Integration Methods
- 10 Steady State Problems
- 11 Time-Accurate Methods for Unsteady Flow
- 12 Energy Stability for Nonlinear Problems
- 13 High order Methods for Structured Meshes
- 14 High Order Methods for Unstructured Meshes
- 15 Aerodynamic Shape Optimization
- Appendix A Vector and Function Spaces
- Appendix B Approximation Theory
- Appendix C Polynomial Interpolation, Differentiation, and Integration
- Appendix D Potential Flow Methods
- Appendix E Fundamental Stability Theory II
- Appendix F Turbulence Models
- References
- Index
- Plates
Appendix D - Potential Flow Methods
Published online by Cambridge University Press: 12 August 2022
Book contents
- Frontmatter
- Dedication
- Contents
- Preface
- Acknowledgments
- 1 Introduction and Background
- 2 Mathematical Models of Fluid Flow
- 3 Numerical Methods for the Solution of Partial Differential Equations
- 4 Fundamental Stability Theory
- 5 Shock Capturing Schemes I: Scalar Conservation Laws
- 6 Shock Capturing Schemes II: Systems of Equations and Gas Dynamics
- 7 Discretization Schemes for Flows in Complex Multi-dimensional Domains
- 8 The Calculation of Viscous flow
- 9 Overview of Time Integration Methods
- 10 Steady State Problems
- 11 Time-Accurate Methods for Unsteady Flow
- 12 Energy Stability for Nonlinear Problems
- 13 High order Methods for Structured Meshes
- 14 High Order Methods for Unstructured Meshes
- 15 Aerodynamic Shape Optimization
- Appendix A Vector and Function Spaces
- Appendix B Approximation Theory
- Appendix C Polynomial Interpolation, Differentiation, and Integration
- Appendix D Potential Flow Methods
- Appendix E Fundamental Stability Theory II
- Appendix F Turbulence Models
- References
- Index
- Plates
Summary
Successful numerical methods for the solution of the transonic potential equation arepresented in this appendix for both historical and practical reasons as they are still widely used for aerodynamic analysis in the early stages of a new design.
- Type
- Chapter
- Information
- Computational Aerodynamics , pp. 544 - 563Publisher: Cambridge University PressPrint publication year: 2022