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| Авторизация |
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| Schmid P.J., Henningson D.S. — Stability and Transition in Shear Flows |
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| Предметный указатель |
 -cascade 188 461
Absolute instability 270
Absolute instability, branch points 275
Absolute instability, Briggs’ method 273
Absolute instability, cusp map 278
Absolute instability, global instability 337
Absolute instability, pinch points 275
Absolute instability, rotating disk flow 284
Absolute instability, steepest descent method 278
Absolute instability, two-dimensional wake 281
Adjoint equation 86 304 332 363
Adjoint operator 85 111 231
Algebraic growth 100 105
Algebraic instability 47
Amplitude expansion 162 185
Asymptotic results 78
Asymptotic results, Blasius flow 82
Asymptotic results, localized disturbances 149
Asymptotic results, nonparallel effects 301
Asymptotic results, plane Poiseuille flow 81
Asymptotic results, triple-deck theory 82
Bi-orthogonality 87 509
Bifurcation from infinity 185
Bifurcation, Hopf 214
Bifurcation, subcritical 165
Bifurcation, supercritical 165
Blasius boundary layer flow, asymptotic results 82
Blasius boundary layer flow, linear stability 66
Blasius boundary layer flow, neutral curve 71
Blasius boundary layer flow, optimal growth 118
Bounds on eigenvalues 94
Bounds on matrix exponential 139
Bounds on maximum response 128
Bounds, Kreiss matrix theorem 140
Branch, A,P,S-branch 64
Branch, lower branch 73 414
Branch, upper branch 73 414
Briggs’ method 273
Briggs’ method, cusp map 278
Busse balloon 397
Bypass transition 402
Case solution 49
Center manifold expansion 160 179
Compressibility 237
Compressible boundary layer, linear stability 246
Compressible boundary layer, neutral curve 246
Compressible boundary layer, transient growth 249
Continuous spectrum, inviscid 43 48
Continuous spectrum, Laplace transform 77
Continuous spectrum, viscous 74 107
Convective instability 270
Couette flow, Case solution 49
Couette flow, linear stability 66
Craik’s resonance 168
Critical layer 19 78
Critical Reynolds number definition 5
Critical Reynolds number table 6
Crossflow vortices 205 450
Crossflow vortices, breakdown 155
Crossflow vortices, secondary instability 394 452
Curved channel flow 446
Curved channel flow, linear stability 207
Curved channel flow, optimal growth 210
Curved channel flow, small curvature approximation 208
Curved rotating channel flow, linear stability 213
Curved rotating channel flow, neutral curve 214
Cusp map 278
Dean vortices 446
Dean vortices, Eckhaus instability 398
Dispersion relation, spatial branch 271
Dispersion relation, temporal branch 271
Disturbance environment 351
Disturbance equations, linear inviscid 15
Disturbance equations, linear viscous 55 102
Disturbance equations, nonlinear 2
Disturbance group velocity 34 97
Disturbance kinetic energy, definition 3
Disturbance measure 102 218 250 346
Eckhaus instability 394 446 448
Eckhaus instability, Busse balloon 397
Eckhaus instability, Dean vortices 398
Eckhaus instability, rotating channel flow 396
Eckhaus instability, sideband instability 396
Elliptical instability 381 423
Energy inner product 110
Energy norm 89 110
Energy Reynolds number 189
Energy theory 188
Energy theory, constraints 191
Equilibrium states 180
Falkner — Skan boundary layer, linear stability 198
Falkner — Skan boundary layer, optimal growth 200
Falkner — Skan — Cooke boundary layer, linear stability 203
Falkner — Skan — Cooke boundary layer, optimal growth 205
Fjortoft’s criterion 21
Floquet theory 227 373
Fredholm alternative 163 170 304
Freestream turbulence 429
Gaster’s transformation 264
Ginzburg — Landau equation 167
Ginzburg — Landau equation, global instability 341
Global instability 337
Global instability, frequency selection criterion 340
Global instability, Ginzburg — Landau equation 341
Global instability, nonnormality 342
Goertler flow 313
Goertler flow, transition 448
Goertler vortices 448
Goertler vortices, linear stability 313
Goertler vortices, receptivity 370
Goertler vortices, saturation 349
Goertler vortices, secondary instability 389
Green’s theorem, generalized 363
Green’s theorem, group velocity 97
Group velocity 34
Gulf Stream 234
Hagen — Poiseuille flow, linear stability 66
Hagen — Poiseuille flow, optimal growth 114
Harmonic point source 266
Hartree parameter 199 204
Howard’s semicircle theorem 22
Inflection point criterion 21
Inflection point criterion, compressible 241
Initial value problem, compressible 237
Initial value problem, inviscid 38
Initial value problem, inviscid, Laplace transform 42
Initial value problem, nonlinear 155
Initial value problem, spatial 290
Initial value problem, viscous 99
Initial value problem, viscous, continuous formulation 106
Initial value problem, viscous, discrete formulation 108
Kelvin — Helmholtz instability, inviscid 29
Klebanoff mode 429 436
Lagrange identity 363
Landau coefficients 163
Landau equation, derivation 162
Landau equation, stability 165
Landau equation, steady states 164
Lift-up effect 46 144
Localized disturbance, asymptotic results 149
Localized disturbance, breakdown 456
Localized disturbance, inviscid 50
Localized disturbance, linear evolution 144
Localized disturbance, nonlinear evolution 185
Localized disturbance, transition 456
Localized disturbance, viscous 144
Lyapunov equation 137
Lyapunov exponent 235
Mathieu’s equation, Lyapunov exponent 236
Mathieu’s equation, stability 223
| Mathieu’s equation, transient growth 228
Matrix exponential 111
Maximum energy growth, bounds 139
Maximum energy growth, temporal 112
Maximum growth rate 132
Maximum response 126
Maximum response, bounds 128
Maximum response, stochastic forcing 133
Mixing layer, damped inviscid solutions 45
Mixing layer, inviscid stability 32
Mixing layer, piecewise linear approximation 26
Mixing layer, rib vortices 423
Mixing layer, roll-up and pairing 421
Mixing layer, transition 420
Neutral curve, Blasius boundary layer flow 71
Neutral curve, compressible boundary layer 246
Neutral curve, curved channel flow 210
Neutral curve, curved rotating channel flow 214
Neutral curve, Falkner — Skan boundary layer 200
Neutral curve, Falkner — Skan — Cooke boundary layer 205
Neutral curve, nonparallel effects 326
Neutral curve, oscillating channel flow 226
Neutral curve, parallel flow 71
Neutral curve, plane Poiseuille flow 71
Neutral curve, rotating channel flow 212
Neutral curve, water table flow 221
Nonlinear effects 344
Nonlinear equilibrium states 180
Nonlinear stability 153
Nonnormality 93
Nonparallel effects 300
Nonparallel effects, multiple-scale analysis 302
Nonparallel effects, neutral curve 326
Nonparallel effects, triple-deck theory 306
Numerical range 132
Oblique transition 436 444 445
Optimal disturbance, general 230
Optimal disturbance, spatial 329
Optimal disturbance, temporal 119
Optimal growth 111
Optimal growth rate 126
Optimal growth, Reynolds number dependence 120
Optimal growth, spatial 472
Optimal response 126 128
Optimal response, Reynolds number dependence 129
Optimal response, stochastic forcing 133
Orr mechanism 120
Orr — Sommerfeld equation 56
Orr — Sommerfeld equation, adjoint 85
Oscillating channel flow, linear stability 224
Oscillating channel flow, neutral curve 226
Oscillatory flow, linear stability 223
Oscillatory flow, transient growth 226
Parabolized stability equations, linear 318
Parabolized stability equations, nonlinear 346 474
Parabolized stability equations, step-size restriction 327
Peak position 379
Permanent scar 50
Piecewise linear velocity 24
Piecewise linear velocity, boundary layer 29
Piecewise linear velocity, jump conditions 25
Piecewise linear velocity, mixing layer 26
Pipe flow 61
Pipe flow, linear stability 66
Pipe flow, optimal growth 114
Plane Poiseuille flow, asymptotic results 81
Plane Poiseuille flow, linear stability 64
Plane Poiseuille flow, neutral curve 71
Plane Poiseuille flow, optimal growth 113
Pressure equation 17 55
PSE, linear 318
PSE, nonlinear 346 474
PSE, step-size restriction 327
Pseudo-eigenvalues 93
Rayleigh equation 17
Rayleigh equation, compressible 241
Rayleigh equation, logarithmic singularity 20 45
Rayleigh’s criterion 21
Rayleigh’s criterion, compressible 241
Receptivity 351
Receptivity, adjoint approach 363 368
Receptivity, asymptotic theory 351
Receptivity, localized 361
Receptivity, nonlocalized 356
Relative Mach number 240
Resolvent 126
Resonant triad interaction 167
Reynolds number dependence, optimal growth 120
Reynolds number dependence, optimal response 129
Reynolds — Orr equation 7 189
Reynolds — Orr equation, consequences 9
Reynolds — Orr equation, derivation 7
Reynolds — Orr equation, energy theory 189
Rotating channel flow, Eckhaus instability 396
Rotating channel flow, linear stability 211
Rotating channel flow, neutral curve 212
Rotating channel flow, optimal growth 212
Rotating curved channel flow, linear stability 213
Rotating disk flow, absolute instability 284
Secondary instability 373
Secondary instability, channel flow streaks 392
Secondary instability, crossflow vortices 394 452
Secondary instability, Dean vortices 398
Secondary instability, detuned mode 375
Secondary instability, Eckhaus instability 394 446 448
Secondary instability, elliptical instability 381 423
Secondary instability, fundamental mode 375
Secondary instability, Goertler vortices 389
Secondary instability, mixing layer 420
Secondary instability, peak position 379
Secondary instability, rotating channel flow 396
Secondary instability, shape assumption 377
Secondary instability, streaks 383 392 407 427
Secondary instability, streaks, inviscid 385
Secondary instability, subharmonic mode 375
Secondary instability, Tollmien — Schlichting waves 374 404
Secondary instability, Tollmien — Schlichting waves, fundamental 379
Secondary instability, Tollmien — Schlichting waves, subharmonic 378
Secondary instability, two-dimensional waves 374
Secondary instability, valley position 379
Secondary instability, vortices 383
Separation bubble 202 441
Shape assumption 377
Sideband instability 396
Spatial analysis 253
Spatial evolution concept 6
Spectrum, Blasius boundary layer flow 66
Spectrum, bounds on eigenvalues 94
Spectrum, continuous operator 69
Spectrum, continuous, spatial 262
Spectrum, continuous, temporal 74
Spectrum, Couette flow 66
Spectrum, pipe flow 66
Spectrum, plane Poiseuille flow 64
Spectrum, pseudo-eigenvalues 93
Spectrum, sensitivity 89
Spectrum, spatial 255
Spectrum, unresolved 92
Squire equation 56
Squire equation, adjoint 88
Squire equation, forced 103
Squire’s theorem 59
Squire’s transformation 58
Stability problem, compressible 238
Stability problem, compressible, higher modes 244
Stability problem, spatial 253
Stability problem, temporal 17 57
Stability problem, weakly nonlinear 160
Stability, complex flows 197
Stability, compressible 237
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