Page 399 - Computational Fluid Dynamics for Engineers

Subject Index 393

Initial conditions (values) 90-93, 100-101, Laplace difference equation 114-119, 121,
104, 252, 314, 316, 338-339, 365 123
Integral equation 63-64, 93, 157, 161-164 Law of the wall 90
Integral form 48-50, 157-158, 214 Lax method (scheme) 168-169, 311, 320
Interaction problem 212-215 Lax-Wendroff method 146-148, 312
- blowing or suction velocity 214, 215 Leapfrog scheme 150
- displacement surface 214-215 Linearized form 62
- interactive boundary-layer scheme 215 Linear convection equation 96, 141, 153,
- Kutta condition 192-195, 215 168
Interactive boundary-layer theory 214, Linear equation (system) 113-115, 166,
215 220, 221, 249, 250
Interior points 272-274, 278 Linear form 272
Intermittency factor 84, 86 Linear function 270
Internal energy 46, 48 Linear interpolation 127, 281
Internal flows 36-37, 72 Linear Lagrange polynomials 276
Interpolation 127-129, 224, 271-277 Linear multistep method 149
- Lagrange 224, 271-272 Linear stability theory 66-67, 243,
- Hermite 272-273 253-255
n
- spline 273 - e -method 253-255
- transfinite 271-277 - disturbance stream function 66
Inviscid Burger's equation 97, 151-152 - linear stability equations 66
Inviscid compressible flow 295-325 - parallel flow approximation 65
Inviscid flow 60-62, 97, 175, 179-201 - radian (circular) frequency 66
Inviscid flow equations for incompressible - separation of variables 65
flows 179-204 - small-disturbance theory 64, 66, 299
Inviscid-pressure distribution 212-213 - two-dimensional disturbance 64, 65
Inviscid velocity distribution 7, 214, 239 - wave number 66
Irrotational flow 60-62, 179-181, 191 - wavelength 66
Isentropic compressible flow 60-62 Linear wave equation 299-300
Isentropic flow 61, 298-299 Linearization 150, 220, 222, 225
Isentropic jump relations 297 Linearized Burger's equation 176
Iterative method 121-132, 339 Linearized momentum equation 220
Local skin-friction coefficient 63, 236,
237, 343
Jacobian matrix 142-145, 154, 175, Local speed of sound 143, 152, 308
332-333, 367-370 Logarithmic law of the wall 90
Jacobian 278-279 - buffer zone 90
Jacobian determinant 53 - linear sublayer 90, 344
Jacobi iteration method 137-139
MacCormack 148-149, 312-318, 356
k-e model 88, 89 Mach number 305, 308, 310, 365
k-u model 88 Mass 46, 48-50, 79, 90, 91, 96, 214, 225,
229-231, 340
Matrix 53-54, 107, 111-121, 122-123,
Lagrange interpolation 224, 271-272 136-138, 142-146, 151, 154, 187, 194,
Lagrange polynomials 272, 276 221, 226-228, 248, 320, 330-336
Laminar flow 56-59, 70-71, 212-213, - unity matrix 320, 359
216-217, 230 Mesh 52, 99, 158-165, 218, 263-293,
Laminar flow control (LFC) 3-10 301-303, 360
- adjustment of pressure gradient by Michel's method 234
shaping 3 Mixing length 81
- natural laminar flow (NLF) 3 Mixing-length formulations 83
- hybrid laminar flow control 6-10 Model equation 96-97, 141-170
Laplacian operator 44 - turbulence models 81-92
Laplace equation 60-61, 78, 79, 97, 114, Modified equation 172
179-183, 185, 191 Momentum 88, 299