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Combustor, Twenty-Fourth Symposium (International) on Combustion, The
Combustion Institute, pp. 1307–1313.
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Convection in Cylindrical Storage Tanks – I. Development and Testing of a
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Contraction of Cross-sectional Area, Comput. Fluids, Vol. 13, No. 1, pp. 15–36.
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494 BIBLIOGRAPHY
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absolute pressure 210
absolute pressure field 270
absorbed radiation 418
accuracy 3, 169, 291–3, 445
additive correction multigrid method 241
adiabatic flame temperature 349–51
aerospace applications 88–92
AIAA guide 298–9
algebraic equations 3
algebraic multigrid method 241
algebraic stress equation model 93–4
algebraic stress models 69
analytical solutions
in central differencing method 139–41
in finite volume method 124–9
in hybrid differencing method 153–4
in QUICK method 161–2
anisotropic turbulence 60
anisotropy 93
stress 86
application of CFD 1
Arrhenius law 357
auxilliary conditions see boundary conditions
average residual 229
back-substitution 214, 222
backward differencing 446
best practice guidelines 298–9
beta pdf 382–4
Bilger’s mixture fraction formula 394, 397
black-body intensity 418
block-structured grids 305, 310–11
body-fitted grids 305
for complex geometries 305–6
body forces 14
boundary conditions 32, 267–8
for compressible viscous flow 35
in hexanogal ring geometry 330
inlet 268–71
and input uncertainty 290
in k–
ε
model 76–8
in laminar diffusion flame 374
for LES 106–8
outlet 271–3
periodic, for LES 107–8
in radiative heat transfer 423–4, 425
in SIMPLE algorithm 210–11
in TVD schemes 174
wall 273–9
boundary layer on flat plate 46–8, 57–60
boundary-value problems 27
initial 28
boundedness 143, 145, 149
buffer layer 275
Cartesian grids 304, 305
and structured curvilinear grids 306–7
and unstructured grids 325–9
cell-centred method 312–13
cells 2
central differencing scheme 117, 136–41, 447
assessment of 145
CFX/ANSYS 3
‘checker-board’ pressure field 180, 181, 182
in complex geometries 337, 339
chemical equilibrium 351
chemical equilibrium model 384–5
chemical kinetics, mechanisms of 355, 361
CHEMKIN algorithm 359, 360, 361, 366, 385
classification 26–9
of equilibrium problems 27
of fluid flow equations 33–5
of marching problems 27–9
methods 32–3
codes 2–4
combustion 343–4
flamelet-based NO modelling 402
mechanisms of 355
nitric oxide formation in 401–2
non-premixed 415
Index
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combustion (continued)
pollutant formation in 400–1
premixed 415
reactions, overall and intermediate 355–6
combustion equation 349, 353
combustion flows, equations for 363–7
continuity equation 363
energy equation 364–6
momentum equations 363
transport equations 363–4
combustion modelling 344
of laminar diffusion flame 372–4
reaction rate 356–61
combustion system 344–5
radiative heat transfer in 426–7, 443
commutative property 62
complex geometries 304–5
applications of LES 108–9
compressible fluids
3D mass conservation in 11–12
equations of state 21
transonic and supersonic problems 36–8
compressible viscous flow 35
conditional moment closure (CMC) 415
conservation laws 9–20
conservative form 13
of fluid flow 24
conservativeness 141–3, 145, 149
constant pressure boundary condition 279–80
continuity equations 63, 337
for combustion 363
in laminar diffusion flame 371
control volume 2, 3, 244
incompressible flow through planar nozzle
456–8
in pressure velocity coupling 181, 184, 185, 186
in radiative heat transfer 420–1, 429, 437
source terms 450–1
in unstructured grids 313–15, 328
derivation of 459–61
control volume method 115
convection-diffusion schemes
multi-dimensional 154–5
1-dimensional 158
convective flux, TVD expression 324
convective heat transfer in finite volume method for 1-D
diffusion 125–9
convective term, discretisation of 320–4
convective term of general transport equations 25
convergence 5
in SIMPLE algorithm 208–10
correcter steps 193–5
correlation functions 51–2
496 INDEX
Cramer’s rule matrix inversion 212
Crank–Nicholson scheme 246, 247–8
cross-correlation functions 52
cross-diffusion 316, 319
cross-stresses 102
cutoff width 99
cyclic boundary conditions 36, 38, 281
deformation, rates of 22, 67
diffusely reflecting surfaces 418
diffusion coefficients 41
diffusion flux 319, 326, 328
diffusion terms 81
discretisation of 316–20
of general transport equations 25–6
direct methods 212
direct numerical simulation (DNS) 66, 110–13
achievements 113
initial and boundary conditions 113
numerical issues 111–13
discrete ordinates method (DOM) in radiative heat
transfer 433–7
complex geometry in radiative heat transfer 441–2
furnace geometry in radiative heat transfer 440–1
heating of cold black plates 438–9
discrete transfer method (DTM) in radiative heat transfer
429–32
complex geometry in radiative heat transfer 441–2
furnace geometry in radiative heat transfer 440–1
heating of cold black plates 438
discretisation errors 289, 294
discretisation schemes
of convective term 320–4
of diffusion terms 316–20
in DNS 112
in finite volume method 116–18
properties 141–4
in radiative heat transfer 429
source terms 450–1
transient convection-diffusion 257–8
in unstructured grids 312–15
discretised equations
assembly in complex geometries 325–9
for boundary nodes 120–1, 123–4
for nodal points 119
for pressure 191
discretised momentum equations 186, 191
dissociation reactions 354
distribution function 380
documentation 300
domain geometry 289–90
domain of dependence 30–1
dynamic SGS models 105
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