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Pozrikidis C. — Fluid Dynamics: Theory, Computation, and Numerical Simulation
Pozrikidis C. — Fluid Dynamics: Theory, Computation, and Numerical Simulation



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Название: Fluid Dynamics: Theory, Computation, and Numerical Simulation

Автор: Pozrikidis C.

Аннотация:

"Fluid Dynamics: Theory, Computation, and Numerical Simulation extends the classical field of fluid dynamics into the realm of scientific computing in a way that is both comprehensive and accessible to the beginner. The theory of fluid dynamics, and the implementation of solution procedures into numerical algorithms, are discussed hand-in-hand and with reference to computer programming." "This book serves as an introductory course in fluid mechanics, covering traditional topics in a way that unifies theory, computation, computer programming, and numerical simulation. Few prerequisites are required. The audience includes not only advanced undergraduate and entry-level graduate students, but also a broad class of scientists and engineers with a general interest in scientific computing." "This text is for practitioners and students in all fields of engineering, computational physics, scientific computing, and applied mathematics. It can be used as a text in both undergraduate and graduate courses in fluid mechanics, aerodynamics, and computational fluid dynamics."


Язык: en

Рубрика: Физика/Классическая физика/Механика жидкости и газа/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 2001

Количество страниц: 685

Добавлена в каталог: 30.06.2005

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
Acceleration      14
Acceleration of a point particle      95
Aerodynamics      606
Airfoil      609
Airfoil thin-airfoil theory      630
Alternating tensor      65
Archimedis principle      224 451
Atmospheric pressure distribution      214
Avogadro number      184
Axisymmetric flow      17
Axisymmetric flow extensional      193
Axisymmetric flow flow rate in      86
Axisymmetric flow stream function      104
Axisymmetric flow vorticity of      67 292
Axisymmetric interfaces      246
Baroclinic production of vorticity      289
Bearing      414
Beltrami flow      270
Bernoulli's equations      272
Bessel functions      356 358 361
Bickley jet      525
Biharmonic operator      460
Bingham plastic      195
Biot — Savart integral      585
Blasius equation      486
Body force      165
Body neutrally-buoyant      226
Body rigid      3
Bond number      305
Boundary conditions Dirichlet      119
Boundary conditions for euler's equation      271
Boundary conditions for the navier — stokes equation      285
Boundary conditions for the pressure      398
Boundary conditions Neumann      118
Boundary conditions no-penetration      107
Boundary conditions no-slip      204
Boundary conditions slip      204
Boundary elements      458
Boundary layer falkner — skan      496
Boundary layer prandtl      480 485
Boundary layer sakiadis      500
Boundary layer stokes      351
Boundary traction      172
Boussinesq eddy viscosity      543
Bubble, expanding      283
Buoyancy force      219
Burgers equation      100
Capillary length      230
Capillary rise      233
Cauchy equation of motion      266
Cavity flow      386 405
Centrifugal force      268
Cfdlab      652
Channel flow finite-difference methods for      367 377 382
Channel flow finite-difference methods for two-layer flow      373 436
Channel flow steady      306 411
Channel flow steady multi-layer      311
Channel flow steady semi-infinite      333
Channel flow steady two-layer      309
Channel flow steady wavy      418
Channel flow unsteady      339 346
Circulation      159 549 581
Circulatory flow      155
Conjugate gradients      134
Contact angle      228
Contact line      228
Continuum mechanics      20
Contour dynamics for axisymmetric flow      598
Contour dynamics for two-dimensional flow      572
Coordinates cartesian      4
Coordinates cylindrical polar      6
Coordinates plane polar      12
Coordinates spherical polar      9
Coriolis force      269
Corners, flow inside      465
Correlations      545
Couette flow circular      336
Couette flow plane or rectilinear      310 339
Crank — Nicolson method      401
Creeping flow      443
Curl of a vector field      65
Curvature of a line      176
Curvature of a surface      177
Curvature of an ellipse      179
Curvature of an interface      232 247
Cylinder, circular boundary layer around      509
Cylinder, circular flow past      476
Cylinder, circular potential flow past      143 156
Cylinder, circular stokes flow due to the motion of      460
Deformation      3
Deformation of a fluid parcel      29 57 68
Deissler correlation      546
Delta function      551 561
density      93
Difference backward      72
Difference centered      73
Difference forward      72
Differentiation, Numerical      72
Differentiation, numerical of a function of two variables      72 125
Dilatant fluid      194
Dipole of a point source      139
Dipole of a point vortex      163
Dirac delta function      551 561
Displacement thickness      491
Divergence of a vector field      62
Divergence theorem      83 84
Drop, resting on a plane      241 250
Eigenvalues and eigenvectors      35 69
Einstein summation convention      52
Ellipse, curvature of      179
Elliptic integrals      335 589
Equation of motion for a parcel      254
Equation of motion for a point particle      266
Error function      344
Euler equation      270
Euler method      21
Euler method for a system of equations      238
Euler method modified      24
Evolution equation for the density      90
Evolution equation for the velocity      267
Evolution equation for the velocity potential      273
Evolution equation for the vorticity      288
Expansion of a parcel      29 56 61
Extensional flow      193
Extensive property      93
Falkner — Skan boundary layers      498
Fast Fourier Transform      536
Fdlib      651 653
FFT      536
Film flow down an inclined plane      315 424
Film flow multi-layered      316 430
Finite difference methods for laplace's equation      122
Finite difference methods for the continuity equation      91
Finite difference methods for the navier — stokes equation      364
Finite differences      see “differences”
Finite-volume method      428
Flow rate areal and volumetric      77
Flow rate mass      87
Flux areal and volumetric      77
Flux mass      87
Force, body force      165
Force, hydrodynamic volume force      264
Force, hydrodynamic volume force in polar coordinates      267
Force, on an immersed surface      217
Force, surface force      165
Fourier decomposition      535
Frequency parameter of a flow      304
Friction velocity      544
Froude number      278 304
Fundamental modes of parcel motion      49
Fundamental solutions of laplace's equation      135
Gauss divergence theorem      83 84 225
Gauss elimination      132
Gauss quadrature      575
Gauss — siedel method      134
Gradient of a function      52 59 60
Green's third identity      648
Growth rate of a perturbation      516
Hagen flow oscillatory      352
Hagen flow steady      308
Hagen flow transient      346
Harmonic functions      116 117
Helmholtz velocity of a vortex ring      596
High-reynolds-number flow      303 475
Hill's vortex      599
Holstein — bohlen parameter      507
Homogeneous boundary conditions      118
Hump, flow over      277 281
Hydrostatics      208
Hydrostatics ideal fluid      192
Hydrostatics ideal gas law      184
Hydrostatics stress tensor in      182
Incompressible fluid      101
Inner vector product      52
Instability of shear flows      512
Integration, numerical      81
Intensive property      93
Interface shape in hydrostatics      227
Interface traction exerted on      171
Interface traction jump across      173
Interpolation of a function of one variable      38
Interpolation of a function of three variables      47
Interpolation of a function of two variables      43
Interpolation of the velocity      46
Irreducible loop      159
Irrotational flow      65 99 112 295
Jacobi method      134
Joukowski transformation      611
Karman — pohlhausen solution      503
Karman, von constant      544
Karman, von integral method      494 501
Karman, von vortex street      478
Kelvin circulation theorem      584
Kelvin functions      360
Kelvin — Helmholtz instability      560 575
Kinematics      1 49 111
Kronecker delta      66
Kutta — joukowski condition      611
Kutta — Joukowski theorem      610
Laminar flow      303
Laplace equation and operator      116 117
Laplace equation and operator in polar coordinates      119 324
Laplace — Young equation      229
Lia      464
Line vortex      161 601
Linear equations      132
Linear momentum      100
Linear stability analysis      512
Linearization of a function      50
Local induction approximation      601
Logarithmic law of the wall in turbulent flow      543
Logistic mapping      526
Lubrication flow      303
Manometer      215
Marangoni traction      175
Mass conservation of      88
Mass flow rate and flux      87
Material derivative      88
Material parcel      27
Material surface      27
Mean free path      3 190
Meniscus      235 246
Mid-point rule      325 335
Momentum integral balance      258
Momentum of a parcel      100
Momentum of a parcel rate of change of      253
Momentum tensor      259
Momentum thickness      493
Navier — Stokes equation      281
Neutrally-buoyant body      226
Newton's method for a nonlinear equation      220
Newton's method for eigenvalues      520
Newton's method for two nonlinear equations      471
Newton's second law of motion for a parcel      252
Newtonian fluid      188
Non-Newtonian fluid      194
Nusslet film      316 425
Operator splitting      399
Orr — Sommerfeld equation      516
Oscillatory flow in a channel      347
Oscillatory flow in a tube      354 360
Oseen flow      462
Oseen tensor      451 463
Ostwald - de waele model      194
Outer vector product      63
Panel method      620
Parcel deformation      29 68
Parcel expansion      29 61
Parcel newton's law for the motion of      252
Parcel of a fluid      2 28
Parcel rotation      28 55 62
Path line      20
phase velocity      516
Pipe flow      see “tube and channel flow”
Pipe flow through an enlargement      261
Pivoting of a linear system      133
Plane polar coordinates      12
Plastic fluid      194
Plastic fluid flow due to the motion of      343
Pohlhausen polynomials      504
Point force      450 463
Point particle      18
Point properties of      93
Point source      136 149
Point source dipole      139
Point source dipole panel      640
Point source in bounded flow      144 152
Point source in stokes flow      450
Point source in uniform flow      138
Point source panel      639
Point vortex      154 551
Point vortex dipole      163
Point vortex periodic array of      558
Poiseuille flow      321
Poiseuille flow oscillatory      360
Poiseuille flow transient      354
Poiseuille law      321
Potential of the velocity      114
Power spectrum      536
Power-law fluid      194 314 318
Prandtl boundary layers      480
Prandtl mixing length      541
Pressure boundary conditions      398
Pressure force due to      283
Pressure in hydrostatics      183
Pressure integral formula      324
Pressure Poisson equation      327
Pressure poisson equation for the pressure      395
Pump, ejector      263
Pycnometer      223
Rayleigh equation for an expanding bubble      285
Rayleigh equation of hydrodynamic stability      517
Rayleigh — Taylor instability      430
Reducible loop      160
Rescaling      298
Reynolds decomposition      531
Reynolds number      297 301
Reynolds stresses      539
Rigid body motion      3 108
Rigid body translation      2 108
1 2
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