Page 12 - Computational Fluid Dynamics for Engineers

Inviscid Flow Equations for Incompressible Flows 179
6.1 Introduction 179
6.2 Laplace Equation and Its Fundamental Solutions 179
6.3 Finite-Difference Method 182
6.4 Hess-Smith Panel Method 189
6.5 A Panel Program for Airfoils 194
6.5.1 MAIN Program 195
6.5.2 Subroutine COEF 196
6.5.3 Subroutine GAUSS 196
6.5.4 Subroutine VPDIS 196
6.5.5 Subroutine CLCM 196
6.6 Applications of the Panel Method 197
6.6.1 Flowfield and Section Characteristics
of a NACA 0012 Airfoil 197
6.6.2 Flow Over a Circular Cylinder 198
6.6.3 Multielement Airfoils 201
Appendix 6A Finite Difference Program for a Circular Cylinder.... 202
Appendix 6B Panel Program for an Airfoil 203
6B.1 MAIN Program 203
6B.2 Subroutine COEF 203
6B.3 Subroutine VPDIS 203
Appendix 6C Panel Program for Multielement Airfoils 203
6C.1 MAIN Program 203
6C.2 Subroutine COEF 204
6C.3 Subroutine VPDIS 204
6C.4 Subroutine CLCM 204
References 204
Problems 204

Boundary-Layer Equations 211
7.1 Introduction 211
7.2 Standard, Inverse and Interaction Problems 212
7.3 Numerical Method for the Standard Problem 216
7.3.1 Numerical Formulation 218
7.3.2 Newton's Method 220
7.4 Computer Program BLP 222
7.4.1 MAIN 222
7.4.2 Subroutine INPUT 222
7.4.3 Subroutine IVPL 225
7.4.4 Subroutine GROWTH 225
7.4.5 Subroutine COEF3 226
7.4.6 Subroutine SOLV3 226