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Petrila T., Trif D. — Basics of Fluid Mechanics and Introduction to Computational Fluid Dynamics
Petrila T., Trif D. — Basics of Fluid Mechanics and Introduction to Computational Fluid Dynamics



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Название: Basics of Fluid Mechanics and Introduction to Computational Fluid Dynamics

Авторы: Petrila T., Trif D.

Аннотация:

This handbook brings together the theoretical basics of fluid dynamics with a systemaic overview of the appropriate numerical and computational methods for solving the problems presented in the book. Also, effective codes for a majority of the examples are included.


Язык: en

Рубрика: Физика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 2004

Количество страниц: 500

Добавлена в каталог: 23.10.2007

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
Acceptable grid      388
Avogadro      1
Busemann, A.      128
Butcher      212
Characteristics      47 123
Characteristics, hodograph      131
Characteristics, lines      227
Circulation      10
Coefficient, drag      216
Coefficient, pressure      63 90
Coefficient, viscosity, first      39
Coefficient, viscosity, second      39
Complex, potential      60
Complex, velocity      61
Condition, adherence      42
Condition, boundary, essential      381
Condition, boundary, natural      381
Condition, CFL      259
Condition, entropy      48
Condition, integral type for vorticity      144
Condition, Joukovski — Kutta      77
Condition, Lipschitz      208
Condition, slip      42 120
Condition, smoothness      6
Condition, Zorawski      16
Configuration      3
Conformal mapping      65
Consistence      199
Continuity axiom      6
Continuum      1
Continuum, deformable      4
Continuum, particle      3
Coordinates, eulerian      7
Coordinates, Lagrangian      5
Coordinates, material      5
Coordinates, spatial      7
Critical sound speed      112
Crocco — Vazsonyi theorem      54
Curl      9
Dario Graffi      58
density      3
Derivative, Chebyshev — Galerkin      454
Derivative, Chebyshev-collocation      454
Derivative, Fourier — Galerkin      446
Derivative, Fourier-collocation      446
Derivative, Legendre — Galerkin      451
Derivative, Legendre-collocation      451
Derivative, local      7
Derivative, material      7
Derivative, substantive      7
Derivative, total      7
Description, material      5
Description, spatial      5 7
Discontinuity, contact      47
Discontinuity, strong      43
Dissipation      142
Drag      72
Dual grid      414
Energy, deformation      25
Energy, internal      27
ENO      398
Enthalpy      32
Equation, biharmonic      313
Equation, Burgers      288
Equation, Cauchy — Riemann      60
Equation, continuity      18
Equation, Crocco — Vazsonyi      54
Equation, elliptic      227
Equation, energy      24
Equation, Gibbs      30 32 35
Equation, hyperbolic      227
Equation, integral on the boundary      380
Equation, Molenbroek — Chaplygin      131
Equation, parabolic      227
Equation, Prandtl      131
Equation, Steichen      114
Equation, Stokes      312
Equations, balance      20
Equations, Cauchy's motion      23
Equations, constitutive      27
Equations, Euler      34
Equations, Gibbs      31
Equations, Navier — Stokes      134
Equations, state      35
Eucken      37
Euler — Lagrange criterion      13
Eulerian coordinates      5
Fehlberg      213
Finite differences, backward      248 254
Finite differences, centered      248 254
Finite differences, forward      248 254
Finite differences, one-sided      256 324
Flow, almost (slightly) potential      92
Flow, homentropic      37
Flow, isentropic      37
Flow, simple waves      123
Fluid, barotropic      38
Fluid, inviscid      34
Fluid, Newtonian      39
Fluid, non-Newtonian      40
Fluid, Real      38
Fluid, Reiner — Rivlin      39
Fluid, Stokes      38
Fluid, viscous      39
Form, differential      44
Form, integral      44
Form, variational      357
Form, weak      44
Formulation, inverse      383 384
Formulation, original      384
Formulation, weak      383 384
Gibbs phenomenon      444
Heat, conduction      28
Heat, radiation      28
Heat, specific      31
Heat, total      32
Hypotheses, Weyl      48
Hypothesis, Joukovski      74
Hypothesis, Stokes      39
Identity, Somigliana      381
Inequality, Clausius — Duhem      30
Integral representation      380
Lagrangian coordinates      5
Law, Cauchy, first      23
Law, Cauchy, second      22
Law, conservation      44
Laws, behaviour      33
Laws, constitutive      26 33
Lemma, Cauchy      21
Lift      72
Lowerside      121
Mach angle      116
Mass      1
Mass, specific      3
Material volume      4
Materialize      63
Medium, homogeneous      20 33
Medium, incompressible      19
Medium, izotropic      34
Method, Adams — Bashforth      216
Method, Adams — Moulton      216
Method, ADI      302
Method, characteristics      293
Method, collocation on points      383
Method, collocation on subdomains      383
Method, Crank — Nicolson      216 277
Method, finite volume      397
Method, fractional step      239
Method, generalized difference      398
Method, Liapunov — Schmidt      462
Method, Liebmann      297
Method, MAC      316
Method, MacCormack      269
Method, multi-step      216
Method, Runge — Kutta      212
Method, S.O.R.      298
Method, single-step      215
Method, Uzawa      474
Method, von Neumann      258
Morawetz, C.      128
Motion, permanent      8
Motion, plane      12
Motion, spectrum      9
Motion, steady      8
Noll      33
Number, Courant      259 280
Number, Euler      160
Number, Froude      160
Number, Grashof      162
Number, Knudsen      42
Number, Mach      111
Number, Peclet      161 200
Number, Prandtl      162 223
Number, Reynolds      139 160 312
Number, Schmidt      162
Number, similarity      160
Number, Strouhal      160
Numerical diffusion      266
Numerical dispersion      265
Orthogonal projection operator      138
Paradox, d'Alembert      72
Paradox, Stokes      165
Parameters, state      26
Parameters, thermodynamic      26
Perfect gas      36 43
Point, cuspidal      74
Point, stagnation      60
Prandtl — Meyer flow      117
Principle, Cauchy      17
Principle, dependence on the history      33
Principle, Fourier — Stokes      29
Principle, heat flux      29
Principle, indestructibility of matter      6
Principle, mass conservation      18
Principle, material frame indifference      33
Principle, objectivity      33
Principle, spatial localization      33
Principle, thermodynamics, second      29
Principle, variation, energy      24
Principle, variation, momentum torsor      20
Problem, boundary values      247
Problem, Cauchy      208
Problem, well-posed      231 365
Process, adiabatic      28 37 43
Process, irreversible      27
Process, reversible      27
Process, thermodynamic      27
Profile, dolphin      76
Profile, Joukovski      75
Profile, Karman — Trefftz      76
Profile, von Mises      76
Relations, Rankine — Hugoniot      46 50
Relations, stresses-deformation      33
Reynolds (transport) theorem      13
Rezidue      199
Rotation      9
Scheme, Lax      277
Scheme, Lax — Wendroff      279
Sharp trailing edge      73
Shock, back      47
Shock, compressive      48
Shock, condition      234
Shock, front      47
Shock, rarefaction      48
Shock, wave      43 47
Similarity      159
Simple wave      117
Solidify      63
Solution, weak      43
Sonic lines      114
Spatial instability      200
Spectral accuracy      443
Stability      199
Stream, filament      9
Stream, function      11 60
Stream, lines      8
Stream, surfaces      8
Stress vector      21
Stresses      17
Successive iterations      209
Sutherland      40
System, Chaplygin      131
System, elliptic      228
System, hyperbolic      228
System, Oseen      166
System, parabolic      228
System, reduced      163
System, thermodynamic      27
Tensor, rate-of-strain      38 141
Tensor, rotation      141
Tensor, stress      21
Theorem, Betti      381
Theorem, Cauchy      22
Theorem, Cauchy — Eriksen — Rivlin      39
Theorem, Euler      13 15
Theorem, Green      381
Theorem, Helmholtz      10
Theorem, Kutta — Jukovski      72
Theorem, Lagrange      53
Theorem, Radon — Nycodim      2
Theorem, Reynolds      13 15
Theorem, Riemann — Caratheodory      65
Theorem, the first Bernoulli      53
Theorem, the second Bernoulli      53
Theorem, Thompson (Lord Kelvin)      52
Theorem, transport      13 15
Thermodynamic equilibrium      27
Thermodynamic state      27
Trace      382
Trajectories      8
Transform, discrete      442
Transform, discrete polynomial      449
Transform, finite      441
Transformation, Joukovski      75 77
Triangulation      366
Truncation      199
Tube, rotation      10
Tube, Stream      9
Upperside      121
Variables, state      26
Variables, thermodynamic      26
Velocity potential      59
Volume support      3
Vortex, lines      9
Vortex, surfaces      9
Vorticity      9
Wing profile      70
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