Page 401 - Computational Fluid Dynamics for Engineers

Subject Index 395

Rankine-Hugoniot relations 296-299 Stagnation flow 230
Reduced forms of the Navier-Stokes Stagnation points 197
equations 57-64 Steady flows 57-58, 60-61, 63-64, 70,
- order-of-magnitude analysis 57, 65 162, 204, 267, 297, 301, 331
- parabolized Navier-Stokes equations Steady convection and diffusion equation
57-58 162
- thin-layer Navier-Stokes approximation Stiffness 311, 354
58, 62 Stokes flow 62
Relaxation parameter 124-125, 214, Streamlines 42, 60, 66, 180-182, 216, 283,
304-308 302, 308
Residual 126-127, 129, 318, 335, 364 Subsonic flow 69, 215, 301-302, 309-311,
Residual smoother 364 316-317, 364
Restriction operators 128-129 Substantial derivative 43
Reynolds-averaged Navier-Stokes Successive over-relaxation (SOR) 124
equations 41, 55-56 Supercritical airfoil 3, 208
Reynolds number 50-51, 57, 84, 90, 198, Supersonic flow 69, 295, 301, 302, 307,
206, 225, 232, 244, 245, 246, 256-257, 309-310, 316-318
339
Reynolds shear stress 56, 63, 64, 74, 84, Taylor series expansion 98, 155, 171, 252,
350 255, 331
Richardson extrapolation 238-239 Thermal conductivity 45, 59, 96
Richardson number 57 Thin layer approximation 58, 62
Runge-Kutta scheme 363 Thomas algorithm 107-108
Three-level Beam and Warming scheme
Separation 214, 233 151
Separation point 213 Time integration 149
Shape factor 63 Tollmien-Schlichting waves 66
Shear stress 43-44, 56, 84, 93, 331 Total energy 45-46, 48, 50,
Shock 296-301, 313-314, 321-322, 323 Transition prediction 84, 243-261
Shock wave 296-299 Transonic small disturbance (TSD) 75,
Similar laminar flows 230-231 296, 299, 301-307
Singularity at the separation point 213 Transonic flow 208, 295, 301, 305
Singularity of boundary layer equations Transport of turbulence 82, 83
212, 213, 233 Transport equation 87, 89, 90
Skin-friction drag reduction 2-10 Trapezoid 270
Solution of the Orr-Sommerfeld equation Trapezoidal scheme 106, 150, 151
246-252 Tridiagonal matrix (form, structure,
- boundary conditions 247-249 system) 107, 112, 115, 119, 125, 136,
Space discretization 161, 171 151, 164, 221, 364
Specific heat, ratio 45-46, 51, 96, 298, Truncation error 171, 315, 320-321
310, 365 Turbulence models 81-90
Speed of sound 50-51, 61, 142, 170, 308, - algebraic mixing length 81-86
310 - eddy viscosity models 81-83, 86
Sudden expansion laminar duct flow - one-equation models 87
336-349, 365-367 - transport equations 87, 89
Stability 165-170, 311-312, 320, 357 - two-equation models 88-89
Stability and transition 243-261 - zero-equation models 83-86
Stability diagrams 245 Turbulent flow 3-4, 55-56, 59, 62-64, 70,
- critical Reynolds number 244, 249 85, 211-212, 229, 243
- neutral stability curve 244, 253-254, Turbulent heat-flux gradients 56, 350
259 Turbulent stresses 74
- critical Reynolds number 253, 256 Two-step Lax-Wendroff method 146-147
Stability equations 64-67 Two-step predictor-corrector scheme
Stability-transition program (STP) 148-149
256-258
- onset of transition 84, 234 Unconditional stable 105-107, 175