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Toro E.F. — Riemann Solvers and Numerical Methods for Fluid Dynamics: A Practical Introduction
Toro E.F. — Riemann Solvers and Numerical Methods for Fluid Dynamics: A Practical Introduction

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Название: Riemann Solvers and Numerical Methods for Fluid Dynamics: A Practical Introduction

Автор: Toro E.F.

Аннотация:

This edition includes a number of minor changes. First, I have corrected all the errors found so far and, hopefully, I have not made new ones in the process. Thanks are due to many people who, mostly using the wonders of the email age, have sent their encouraging words as well as their suggested corrections. I have attempted some improvements to the presentation of certain concepts; questions posed by readers have been helpful in this respect. Having used the book for lectures, since the publication of the first edition in 1997, has been useful in re assessing some of the material and its mode of presentation.


Язык: en

Рубрика: Физика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Издание: 2-nd edition

Год издания: 1999

Количество страниц: 620

Добавлена в каталог: 25.11.2012

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
123 problem      129 281
Adaptive scheme      518
Adiabatic exponent      12
Advection      18 66
Amplification factor      536 555
Amplitude      167
Approximate Riemann solver      111
Arithmetic mean      252
Artificial compressibility      39
Artificial compressibility equations      40
Artificial compressibility factor      40
Artificial viscosity      171 483
Asymptotically stable system      534
Avogadro number      11
Backward difference      164
Backward Euler method      535
Boltzmann approach      265
Boltzmann constant      11 12
boundary conditions      42 182 222 223
Boundary Riemann problem      222
Buckley - Leverett equation      63
Bulk viscosity      16
Burgers’s equation      30 71
Caloric equation of state      7
Calorically ideal gas      7
Canonical equations of state      8
Canonical form      51
Cauchy - Riemann equations      45
Cell average      176
Cell centred methods      176 551
Cell Reynolds number      483
cells      176
Centred rarefaction      75
Centred schemes      412
CFL coefficient      183 221 491
CFL condition      217 218
CFL number      167 168
Chain rule      43
Characteristic curves      47
Characteristic equation      92 299
Characteristic field      76 94 110
Characteristic form      51
Characteristic limiting      293 504
Characteristic polynomial      43 90 53-5
Characteristic speed      48 52 66 76
Characteristic variables      51 53 188
Characteristics      529
Chi-square statistics      252
CIR scheme      168 171 172 177
Clipping of extrema      171 456
Compact support      63
Compressive region      69
Computational space      571
Concave flux      66
Conservation laws      3 43 60 66
Conservation of energy      4 24 25
Conservation of mass      2 4 20 21
Conservation of momentum      4 21 22
Conservative methods      2
Conservative scheme      175
Conserved variables      2 43 61
Consistency condition      175 318-320 322 346 413
Contact discontinuity      84 95 107 118 140
Contact wave      84
Convective flux component      279
Convex flux      66
Courant number      167
Courant number coefficient      183
Covolume equation of state      13 223
Covolume gases      117 143
Data compatibility      446 447
Decoupled system      52
density      2
dependent variables      42
Detonation analogue      77
Detonation waves      77
Diagonal matrix      106
Diagonalisable matrix      105
Diagonalisable system      51
Diffusion      18
Diffusion number      483
Dimensional splitting      539
Dispersive equation      174
Dissociation      16
Distribution theory      448
Divergence operator      2
Domain of dependence      59
Domain of determinacy      60
Dot product      2
Eigenvalues      43 64 92 103 109 298 534
Elementary waves      94
Elliptic system      45 46
ENO schemes      436
Enthalpy      8 89
entropy      5 7 93
Entropy condition      72 96
Entropy formulation      93
Entropy glitch      227
Entropy-violating shock      72
Equation of state      66 140
Escape velocity      140
Euler method      535
Expansive region      69
Explicit method      535
Explicit scheme      167
Far-field boundary conditions      224
Fictitious cell      182 222 491
Finite volume      19 176
Finite volume method      539
Flow parameter      497 548
Flux Difference Splitting Methods      265
Flux function      65 175
Flux vector      43 61
Flux vector splitting      89
Flux Vector Splitting Methods      265
Forcing term      482
Forward difference      164 166
Fractional step method      531
Fractional steps, method of      539
Free energy      9
Free surface      34 35
Free-stream Mach number      46
Fromm scheme      174
Front tracking schemes      294
Gas constant      11
Generalised Riemann Invariant      80 96 97 110 122 124 135 141 373 381-383 385 386 389 390 394 395 399
Generalised solution      63
Genuinely nonlinear field      76 83 85 94 106 110 378 391
Geopotential      37
Goduiiov flux      180 181 190 191 219
Godunov’s method      216 218
Gradient operator      2
Grid generation      570
Grid speed      167 170
Head of rarefaction      71
Heat conduction      18 65
Heat rapacity      9
Heats of reaction      77
High resolution      142
High resolution methods      446
Homogeneity property      89 269 270
Homogeneous equation      529
Homogeneous system      18 26 42 527
Honientropie flow      93
Hyperbolic conservation laws      2
Hyperbolic PDE      55
Hyperbolic system      45 61 90
Hyperbolicity in time      104 105
Ideal gases      117
Implicit method      535
Incipient cavitation case      398
Incremental form of a scheme      447
Independent variables      42
Infinite resolution      331
inhomogeneous equation      531 532
Inhomogeneous problem      482
Inhomogeneous system      26 77
Initial condition      42
Initial-value problem      47
Instabilities      221
Instability      73
Integral curves      373 377
Integral form      61 62
Integration path      377 380 385
Intercell boundary      177
Intercell flux      180 184
Internal energy      3 8 88
Intersection point      373 380 381 385 391 398
Inverse of Jacobian matrix      271
Inviscid Burgers’s equation      42 63 180
Ionisation      16
Isentropic equations      30
Isentropic flow      93
Isentropic gas dynamics      65
Isentropic law      93
Isothermal compressibility      9 11
Isothermal equations      30 64
Isotropic medium      15
Jacobian matrix      43 61 64 88 103 105 107 270 271 275 350 388 534
Jacobian of the transformation      573
Jump discontinuity      55
Kinematic viscosity      38
kinetic energy      3
Large-time step scheme      420
Lax - Friedrichs flux      185 325
Lax - Friedrichs scheme      172 184 226 244 249
Lax - Wendroff flux      185
Lax - Wendroff method      173
Lax equivalence theorem      414
Left eigenvector      44
Left eigenvectors      92
Linear advection equation      31 33 42 47 244
Linear schemes      411
Linear system      31 42
Linearly degenerate field      76 83 94 106 110 377 378 391
Low density      227
Macli number      32 100 266 277
Mass flux      120 124 145 146
Material derivative      19
Mean-free path      70
Mesh function      449
Mesh generation      570
Method of lines      435
Metrics      572
Modified equation      171 172 259
Mole      11
Momentum      2
Monatomic gases      13
Monotone      226
Monotone scheme      172 173 250 517 564
Moving boundary      223
Navier - Stokes equations      17
Newton - Raphson      127
Newtonian fluid      15
Non-conservative method      174
Non-convex flux      66
Non-linear scheme      442
Non-linear system      42
Non-reflecting boundary conditions      224
Normal velocity      107 546
Numerical dissipation      329
Numerical domain of dependence      169 171
Numerical flux      175 177 180
Numerical viscosity      171 172 456
One-sided derivative      164
One-sided differencing      168 187 189
Open-end boundary conditions      224
Ordinary differential equation      47
Oscillation-free scheme      559
Parameter vector      348 351
Particle velocity      100 102
Passive scalar      296 323
Phase angle      167 555
Phase plane      77
Phase space      77 377
Physical flux      175
Physical space      571
Physical variables      2
Poisson equation      39
Polyatomic gases      13
Polytropic gas      12
Prandtl number      17
Pressure      2
Pressure positivity condition      127 143 398
Primitive variables      2 91 108
Primitive-variable formulation      1 3
Quasi-linear system      42
Radiation boundary conditions      224
Random sampling      240 241
Range of influence      60
Rankine - Hugoniot Condition      70 78 79 98 111 123 139 589
Rarefaction shock      72 75 362
Rarefaction wave      74-76 85 95 98 10 110 118
Ratio of specific heats      12 13 88
Reaction progress variable      77
Real gases      14
Relative velocity      98 101 120
Richtmyer scheme      186 226 249
Riemann approach      265
Riemann problem      49 55 79 83 94 116 140 177
Right eigenvector      64
Right eigenvectors      44 92 94 104 109 298
Robustness      226 227 282 307 330 368 400
Roe matrix      347 349
Rotation matrix      105 108
Rotational invariance      104 108
Runge - Kutta method      535
Rusanov flux      324
Scaling factor      45 92
Shallow water equations      35
Shear viscosity      16 38
Shear wave      107 110
Shock fitting      174
Shock Mach number      100-102
Shock thickness      70
Shock wave      65 70 75 76 83 95 98 101 107 110 111 118 171
Shock-tube problem      94 117
Signal velocities      317
Similarity solution      83 94 110 215
Slowly moving shock      228 401
Small perturbation equations      32 40
Smearing      171
Sod’s test problem      129
Sonic boom      70
Sonic flow      32 296 328 362 373
Sonic rarefaction      118 181 295 330 362 364 365 496
Sonic, point      181 281 373 378 380 381 385 390 391
Sound speed      10 32 44 64 65 82 88 93 101 266 270
Source term      23 25 47 77 482 527
Species equations      331
Specific internal energy      5 12 13
Split - Coefficient Matrix Scheme      267
Split Riemann problem      110 111
Spurious oscillations      173 226 437 442 497 568
Stability      167 170
Stability condition      168
Stability of ODEs      534
Standard deviation      252
Star region      57 58 79 118 129 139 144 386
Start up errors      589
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