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Zienkiewicz O.C., Taylor L.R. — The finite element method (vol. 3, Fluid dynamics)
Zienkiewicz O.C., Taylor L.R. — The finite element method (vol. 3, Fluid dynamics)



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Название: The finite element method (vol. 3, Fluid dynamics)

Авторы: Zienkiewicz O.C., Taylor L.R.

Аннотация:

In the years since the fourth edition of this seminal work was published, active research has developed the Finite Element Method into the pre-eminent tool for the modelling of physical systems. Written by the pre-eminent professors in their fields, this new edition of the Finite Element Method maintains the comprehensive style of the earlier editions and authoritatively incorporates the latest developments of this dynamic field. Expanded to three volumes the book now covers the basis of the method and its application to advanced solid mechanics and also advanced fluid dynamics. Volume Three: Fluid Dynamics is intended for readers studying fluid mechanics at a higher level. Although it is an ideal companion volume to Volume One: The Basis, this advanced text also functions as a "stand-alone" volume, accessible to those who have been introduced to the Finite Element Method through a different route.


Язык: en

Рубрика: Математика/Численные методы/Конечные элементы/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Издание: Fifth edition

Год издания: 2000

Количество страниц: 348

Добавлена в каталог: 20.02.2005

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
Momentum, conservation of      66 92 291
Momentum, intermediate      279
Monochromatic plane wave      252
Mont St Michel      236
Morgan, K.      28 34 38 46 47 57 61 62 63; 75 81 89; 102 105 108 109 135 136 137; 162 164 167 168; 174 175 176 177 178 179 182 183 184 185 186 187 188 189 191 192 193 194 197 207 208 209 211 212 213 214 215 216; 223 224 239 241; 247 270 271; 290
Morse, P.M.      243 270
Morton, K.W.      36 38 61; 214
Motion: convective      157
Motion: equations of      153
Motion: ship      145
Motor car      192
Mould filling      143—148
Moving ground      192
Moving mesh      122
Multiblock Euler inviscid method      303
Multidimensional problems      15
Multigrid      188 189 212 300
Multiple wave directions      247
Multiple wave speeds      57
Multipliers, Lagrange      294
MUSCL scheme      188
Mushy regions      289
NACA0012 aerofoil      84 148 202 203 204 207
Nakayama, T.      67 88
Nakazawa, S.      19 26 27 28 38 60 62; 120 124 138 139; 241
Nakos, D.E.      146 165
Narayana, P.A.A.      67 88; 109 110 137; 166
Natural boundary condition      243 252
Natural condition      94
Natural convection      144 155 158 286
Natural convection in cavities      156
Navert, V.      29 34 61
Navier-Stokes equations      8 9 10 12 26 146 150 170—172 180 197 210 212 219 275 291
Navier-Stokes equations, Reynolds Averaged      162
Navigation      218
Navon, I.M.      223 239 240
Nearly implicit form      42 76
Nearly incompressible flows      10
Negative diffusion      22
Negative waves      235
Nevada desert      193
Newton — Raphson iterations      130
Newton, R.E.      243 253 270
Nguen, N.      34 61
Nichols, B.D.      148 165
Nickell, R.E.      120 139
Nicolaides, R.A.      189 216
Nield, D.A.      157 166
Nithiarasu, P.      28 34 41 61 62; 77 78 88 89 90; 99 102 110 134 135 137; 155 159 161 166 167; 185 186 187 198 199 200 202 203 215. 289 289 290
No-slip (boundary condition)      82
Noble, R.      191 216
Noblesse, F.      146 165
Nodal coordinates      275
Nodal pressure switches      286
Nodal quantities      283
Node: boundary      276 280 299
Node: inside      299
Noise      250
Non-conservative equations      9
Non-conservative form      291
Non-linear solution, iterative      96
Non-linear viscosity      118
Non-linear waves      48 268 Korteweg-de
Non-newtonian flows      2 6 91 118
Non-reflecting boundary conditions      253
Non-self-adjoint equations      1 15
Non-standard weighting      28
Nonino, C.      155 166
Normals: advancing boundary      206
Normals: surface      276 278
NUMBER      see also under names of Numbers
Number, Courant      42 97
Number, Darcy      160 161
Number, Forchheimer      159
Number, Froude      148 149 235 236
Number, Grashoff      154
Number, higher Mach      174
Number, inlet Mach      84
Number, low Mach      81 84 173
Number, low Rayleigh      159
Number, Mach      110 169 172 188 199 204 276 304
Number, Peclet      16 18 26
Number, penalty      116
Number, Prandtl      66 154 276
Number, Rayleigh      155 156 276
Number, Reynolds      66 97 98 115 149 156 163 164 207 276
Number, wave      262
Numerical approximations      173
Numerical rheology      132
O'Brien, J.J.      223 239
Oblate spheroidal coordinates      261
Oceanographic engineering      223
Oceans      3 218
Oden, J.T.      26 60; 103 116 120 124 135 136 137 138 139; 181 214 215
Offshore harbour, artificial      258
Offshore structures      250
Oh, S.I.      120. 140
Ohmiya, K.      67 88
Oliger, J.      102 135
Onate. E.      25 30 34 60 61; 124 129 130 139 140 141; 148 165; 290
One dimension, upwinding in      18
One-equation model      162
One-sided finite differences      17
ONERA M6 wing      208 209
Open harbours      250
Operators, boundary      250
Optimal damping      78
Optimal upwind parameter      19 20 25 42
Optimal upwind parameter, spurious      50
Ortiz, P.      67 89; 134; 199 200 216; 226 227 241
Oscillation-free solution      100
oscillations      28 113 161 171 280 293
Oscillatory function      262
Oswald de Wahle law      118
Outer boundary      251
Outflow boundaries, supersonic      173
Outflow limits      178
Output (computer program)      275
Overflow      144
Packed and fluidized beds      157
Pagano, A.      211 217
Paisley, M.F.      174 214
Palit, K.      120 139
Palmeiro, B.      102 136
Palmeiro, P.      102 135
Papanastasiou, T.C.      82 90
Parabolic shoal      257
Parallel processing      246
Parallization      189
Parameters: Coriolis      221
Parameters: optimal upwind      25 42
Parameters: Peclet      27
Parameters: penalty      116
Parameters: turbulence      75
Particle size, average      159
Pastor, M.      67 89; 132 137 138 142; 166
Patch      107
Patch interpolation, local      107
Path, circulation      112
Patil. B.S.      244 270
Patnaik, B.S.V.P.      67 88
Patrick. M.A.      164 168
Pcriaux. J.      102 135; 216
Pcrricr, P.      189 216
Peclet number      16 18 26 27
Peiro. J.      57. 63; 102 135 136; 174 175 182 189 194 213 215 216
Pelletier, D.H.      102 113 136
Penalty discretization      116
Penalty formulations      113
Penalty number      116
Pendine Sands      193
Perairc, J.      38 46 57 61 62 63; 82 90; 105 108 135 136 137; 174 175 182 183 184 187 188 189 190 194 207 208 212 213 214 215 216; 223 224 226 239 240 241; 270
Perfectly matched layer (PML)      254
Perfectly reflecting wall      243
Periodic response      226
Periodic tidal motions      225
Permeability      243
Permeable breakwaters      245
Perturbation forces      144
Perturbation, surface      3
Petrov — Galerkin approximation      17—19 20 23 25 26 30 33 42 43
Petrov — Galerkin: streamline      27 30
Petrov — Galerkin: streamline upwind      28
Phase change      289
Phase errors      229
Physical experiments      169
Piecewise polynomial basis      296
Pironncau, O.      38 62
Pitkaranta, J.      29 34 61; 90
Pittman, J.F.      26 60
Pittman, J.F.T.      120 124 139 140
Plane dampers      253
Plane monochromatic wave      248 252
Plasticity      118 119 132
Poisson equation      97
Polar coordinates, spherical      261
Pollutant dispersal      218 227
Pollutants      237
Pollution error      244
Polymers      118 120
Polynomial basis, piecewise      296
Porosity      159 276
Porous media flows      157 274 276 286
Positive definite matrix      295
Positive jump      235
Posse, M.      38 62
Postek, E.      120 140
Potential      10 93
Potential element      265 266
potential flow      3 93 146
Potential function      94
Potential, body force      96
Potential, vector      243
Potential, velocity      243 265 266
Prandtl      210
Prandtl mixing length      163
Prandtl number      66 154 276
Prasad, V.      159 167
Predictor-corrector methods, two-step      55
Prescribed boundary velocities      120
Prescribed forces      55
Prescribed traction boundary conditions      83
Preservation of mass      1
Pressure      1 4 7 65 170 175 265 266
Pressure contours      208 210
Pressure distribution      211
Pressure gradients      91
Pressure hydrostatic      3
Pressure switch      174 286
Pressure vessel      196
Pressure waves      245
Pressure, acoustical      264
Pressure, atmospheric      220
Pressure, average      175
Pressure, coefficient of      304
Pressure, constant      170
Pressure, hydrostatic      5 223
Pressure, surface      202
Price, J.W.H.      120 139
Principal curvatures, maximum      108
Principal values (of curvatures)      107
Principle: variational      22
Probert, E.J.      102 108 136 137; 195 196 206 207 208 214 216
Procedure      See also algorithm method process
Procedure: adaptive      206 275
Procedure: characteristic-Galerkin      36 67 146 237
Procedure: conjugate gradient      77
Procedure: decay function      259
Procedure: explicit characteristic-Galerkin      38
Procedure: gradient based      113
Procedure: iterative solution      147
Procedure: multigrid      189
Procedure: Petrov — Galerkin      20 30
Procedure: solution      70
Procedure: stabilization      280
Procedure: Taylor — Galerkin      57 173
Procedure: upwinding characteristic-based      59
Process      See also algorithm method procedure
Process: Characteristic-Galerkin      69
Process: Galerkin      1
Process: h-refinement      180
Process: incompressibility stabilizing      66
Process: Petrov — Galerkin      43
Process: Taylor — Galerkin      47
Process: transient      120
Progressive steepening      224
Progressive waves, large-amplitude      268
Prolate spheroidal coordinates      261
Prolongation operator      300
Propagation speeds      172
Propagation, shock      50
Propogation, long-wave      224
Prudhomme, S.      102 137
Pseudo-concentration methods      148
Publisher's web page      276
Punch indentation problem      126 129
Pure convection      29 45 146
Pure Euler solution      209
Pure Stokes flow      98
Purely convective form      10
Quadrilateral elements      132 206 207
Quasi-implicit solution      77 98 103 104 275
Quatrapelle, L.      52 63; 87
r refinement      113
Rachowicz, W.      102 103 136 137; 214
Radar      246
Radial integration      262
Radiated wave      251
Radiation condition      44 250 251 269
Radiation of acoustic waves      242
Radiation problem      250
Radiation stresses      235
Raithby, G.D.      67 87
Raj, K.H.      120 140
Ramaswamy, B.      67 77 88; 166
Ramp conditions      97
Random fluctuation of velocity      10
Rankine — Hugoniot condition      50
Rannacher, R.      67 88
Rate dependence, viscosity-strain      118
Rate tensor, strain      118
Raveendra, V.V.S.      109 138
Raven, H.      146 165
Ravindran, K.      148 159 165 167
Ravisanker, M.S.      67 88; 167
Rayleigh number      155 156 276
Rayleigh number, low      159
Rayleigh — Bernard convection      156
Re-entrant corners      245
Reaction, chemical      8
Rebelo, N.      120 139
Recovery, elastic      132
Rectangular channel      228 235
Reduced integration      116
Rees, M.      17 59
refinement      198
Refinement, adaptive      102 132 180 200 206
Refinement, curvature based      102
Refinement, gradient based      110
Refinement, mesh      110 113
1 2 3 4 5 6 7 8 9
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