Page 400 - Computational Fluid Dynamics for Engineers

394 Subject Index

Momentum equation 43-49, 55-56, - eigenvalue procedure 245, 249-253
62-64, 66, 70, 88-89, 97, 161-162, 180, - eigenvalues 244, 248
211-212, 240, 328-329 - Newton's method 248-249, 251-253
Momentum integral integration 63, 79, 93 - numerical scheme 247
Momentum thickness 63 - variational equations 250, 251
Multigrid 127-132
Multistep time integration 149 Order-of-magnitude analysis 57-58, 65
Multistep methods 149, 230 Order of errors 98-99, 101, 107, 238
Ordinary differential equations 63-64, 66,
Navier-Stokes equations 42-63 110, 218, 240, 362
- continuity equation 43, 45, 48-49 Orr-Sommerfeld equation 66, 243
- incompressible 43-45, 55-56, 179-204, - amplification rates 7-10, 244, 253-260
327-346 - boundary conditions 243
- compressible 45-47, 60, 295-325, - critical Reynolds number 244-245
353-374 - neutral stability curve 244
- differential and integral forms 41 - stability equations 64-67, 243
- momentum equation 43-47 Outer layer 83-90
Newton's method 220-221, 249-253, 258, Over-relaxation 124, 304
318
Newtonian fluid 44, 56 Panel method 189-204
Nonconservative form (equation) 47, 75, Parabolic equation 67-70, 96, 97, 100-113
301 Parabolic mapping function 283-285
Nondimensional form 50-51, 68 Parabolized Navier-Stokes equations
Nonlinear equation 61, 97, 141-142, 144, 57-58
220-221, 274, 299-300 Peaceman and Rachford method 125
Nonlinear Euler equation 141, 148, 152, Perfect gas law 46, 79, 142, 175
154 Phase angle 66, 168-169
Nonlinear wave equation. 300, 312 Physical boundary conditions 68, 310,
Non-uniform 110, 223, 247, 264, 267 329, 351, 355
Normal viscous stress 44, 56, 331 Poisson equation 97, 113-132, 205,
Normal velocity 191, 192, 193, 212, 222, 278-282
339 Potential equation 60-62, 75, 179-204,
No-slip surface 310, 338 297-299, 301-309
Nozzle 268-269, 296, 315-319, 322-325 Prandtl number 57, 59
Numerical boundary condition 147-148, Prediction of aerodynamic performance
151, 310-311, 329, 355 characteristics 28
Numerical dissipation 153, 155, 156, - interactive boundary-layer method 29
170-173 - panel method 29
Numerical domain of dependence 170 Prediction of transition 243, 261
n
Numerical flux 155, 157, 333 - e -method 253
Numerical solution of the boundary-layer - empirical correlations 234
equations 216-229 Predictor-corrector scheme 148, 312, 316,
- block-elimination method 112, 119, 356
120, 226, 258 Pressure coefficient 188-189, 196
- Falkner-Skan transformation 216-217 Pressure difference rule 12-17
- finite-difference approximation 218-219 Pressure distribution 212, 213, 305-306
- linear system 220-221 Pressure force 43, 57
- Newton's method 220 Pressure gradient 71, 217, 224, 245
- numerical formulation 218 Propagation of information 142-143, 153
- similarity variables 216 Propagation of error 166
Numerical solution of the Orr-Sommerfeld Propagation velocity 243
equation 246-252 Pseudocompressibility method 78, 330
- boundary conditions 243, 247-249 Pseudo-sonic speed 330
- box scheme 246-249 Pseudo-time 78, 330, 331
- eigenfunctions 244, 248
- eigenvalue problem 244, 249, 251 Quasi-ID nozzle 315-318, 322-325