Page 398 - Computational Fluid Dynamics for Engineers

392 Subject Index

Discontinuity 102, 143, 148, 296-301, Five point finite differences 360
313-314 Flux 48-50, 56-57, 63, 71, 141, 150, 155,
Discretization 157, 159, 297-300, 339
- of derivatives 98-99, 331-336 - convective 156, 312, 332-336, 342, 356,
- of the boundary conditions 337 363, 367
Discretized equation 303, 335-336 - diffusive 328, 367
Dispersion 170-173 - variable 314, 318, 321
Dissipation 153, 155-157, 170-173, 320 - vector 141-142, 160, 318
Dissipation equation 88 - viscous 54, 334, 342, 356
Dissipation function 46 Flux-vector-splitting 153-157
Dissipation rate 93 Flux-difference-splitting 153, 157
Dissipative terms 360-365 Forward-difference 98
Divergence form 46, 297 Fourier series method 166-167
Domain of dependence 68-69, 169-170 Friction velocity 90
Drag reduction 2-10 Full weighting 128

Eddy viscosity 59, 81-89, 211, 229 Gas law 46, 51
Eigenvalue procedure 249-253 Gauss' elimination method 119-120, 195,
Elliptic equations 67-70, 97, 113-132, 196
184, 278, 301-303 Gauss-Seidel 123-127
Energy equation 44-50, 52, 55-56, 62-63,
73-74, 88, 96, 318 Heat balance 27-28, 37
Energy integral 63-64 Heat 45, 46, 50-51, 56, 96, 310
n
e -method 253-261 Heat-conduction equation 68, 96-97, 121,
Enthalpy 56, 61 151
Entropy 296-297, 317 Heat conduction vector 50
Equation of state 46, 78, 328 Heat flux terms 56-57, 63, 71
Equivalent first-order system 247 Heat transfer 45, 57, 58, 63, 68, 96
Error 138-139, 166, 171, 238 Hermite interpolation 272-273
Error of conservation 340 Hess-Smith panel method (HSPM)
Error of order 98-99 189-201
Euler 329, 331 - applications 197
Euler equation 60, 141-164, 297-299, - NACA 0012 airfoil 197
309-316, 320 - circular cylinder 198
Euler explicit scheme 150, 168 - multielement airfoils 201
Euler implicit scheme 150 Hilbert integral 214
Euler method 287 Hyperbolic equation (problem) 67-69,
Euler fluxes 314, 321 96-97, 141-173, 309, 329-330, 356
Expansion waves 297, 313, 322 Hyperbolic differencing 303
Expansion shocks 297 Hyperbolic operator 304
Explicit methods 100-105, 146-148, Hyperbolic flow region 308
312 Hyperbolic tangent function 273-274
Explicit numerical dissipation 296
Explicit approximation 165 Implicit methods 105-112, 149-151,
Explicit artificial dissipation 309, 320, 321-325
321, 360 Incompressible flow 60-63, 96, 179-204
- three-dimensional 43-45, 55-57
Factorization 364 - two-dimensional 70-72
Falkner-Skan equation 217 - one-dimensional Navier-Stokes equation
- dimensionless pressure-gradient 172
parameter 217 Incompressible irrotational flow 179-182
- similarity variable 222 Incompressible laminar and turbulent flow
Falkner-Skan transformation 216 62, 83
Finite difference 98-132, 182-189, Incompressible Navier-Stokes equations
202-204, 218-221, 246-249, 360 327-347
Finite-volume 157-164, 361-365 Incompressible stability theory 66