Page 15 - Computational Fluid Dynamics for Engineers

XIV Contents

11.5.2 Initial Conditions 338
11.5.3 Solution Procedure and Sample Calculations 339
11.6 Model Problem: Laminar and Turbulent Flat Plate Flow 342
11.7 Applications of INS2D 344
References 350
Problems 351

12. Compressible Navier—Stokes Equations 353
12.1 Introduction 353
12.2 Compressible Navier-Stokes Equations 354
12.2.1 Practical Difficulties 354
12.2.2 Boundary Conditions 355
12.3 MacCormack Method 356
12.4 Beam-Warming Method 357
12.5 Finite Volume Method 361
12.6 Model Problem: Sudden Expansion Laminar Duct Flow 365
12.6.1 Initial Conditions 365
12.6.2 Boundary Conditions 365
12.6.3 Solution Procedure and Sample Calculations 367
Appendix 12A Jacobian Matrices of Convection
and Diffusion Terms E, F, E v and F v 367
Appendix 12B Treatment of the Region Close to the Boundaries
for Eq. (12.5.4) 370
References 374
Problems 375

Appendix A Computer Programs
t
on he Accompanying CD-ROM 377

Appendix B Computer Programs
t
Available from he First Author 381
Subject Index 391