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Pomraning G.C. Ч The equations of radiation hydrodynamics
Pomraning G.C. Ч The equations of radiation hydrodynamics



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Ќазвание: The equations of radiation hydrodynamics

јвтор: Pomraning G.C.

язык: en

–убрика: ‘изика/ лассическа€ физика/ћеханика жидкости и газа/

—татус предметного указател€: √отов указатель с номерами страниц

ed2k: ed2k stats

√од издани€: 1973

 оличество страниц: 287

ƒобавлена в каталог: 30.06.2005

ќперации: ѕоложить на полку | —копировать ссылку дл€ форума | —копировать ID
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ѕредметный указатель
(P Ч N) method Polarization, importance of accounting for, in equation of transfer      136Ч43
Absorption coefficient      5Ч6 158 160Ч77
Absorption coefficient for hydrogen-like atoms      167
Absorption coefficient, average      89 94
Absorption coefficient, bound-bound      174Ч7
Absorption coefficient, bound-free      164Ч73
Absorption coefficient, Elsasser band      102Ч3
Absorption coefficient, free-free      174
Absorption coefficient, generalized Planck and Rosseland means      97Ч102
Absorption coefficient, in terms of Einstein coefficients      161Ч3
Absorption coefficient, Lorentz transformation of      155Ч6 272-4
Absorption coefficient, Planck mean      92
Absorption coefficient, Rosseland mean      88 91Ч92
Addition theorem      18 37
Addition theorem for Legendre polynomials      18
Addition theorem, Gegenbauer, for Bessel functions      37
Additivity of Stokes parameters      114Ч16
Adjoint operator      41
Anisotropic scattering      7
Anisotropic scattering, Compton scattering      181Ч2 183Ч91
Anisotropic scattering, in asymptotic analysis      56 61 139Ч43
Anisotropic scattering, in Eddington approximation      54 139
Anisotropic scattering, in spherical harmonic method      71Ч74 78
Anisotropic scattering, Thomson scattering      131Ч4 180
Approximate descriptions of radiative transfer      51Ч 105
Approximate descriptions of radiative transfer Eddington approximation      51Ч55
Approximate descriptions of radiative transfer, diffusion approximations      51Ч71
Approximate descriptions of radiative transfer, discrete ordinate method      84Ч86
Approximate descriptions of radiative transfer, equilibrium diffusion theory      86Ч88
Approximate descriptions of radiative transfer, multigroup methods      88Ч105
Approximate descriptions of radiative transfer, P Ч N method      71Ч83
Approximate descriptions of radiative transfer, S Ч N method      84Ч86
Approximate descriptions of radiative transfer, spherical harmonic method      71Ч83
Asymptotic analysis of Fokker Ч Planck eigenvalue problem      201Ч5
Asymptotic diffusion theory      64Ч71
Asymptotic diffusion theory, angular distribution      56
Asymptotic diffusion theory, anisotropic scattering      56 61 139Ч43
Asymptotic diffusion theory, boundary conditions      61Ч62
Asymptotic diffusion theory, diffusion coefficient      57
Asymptotic diffusion theory, FickТs law of diffusion      61
Asymptotic diffusion theory, initial condition      61
Asymptotic solution of multifrequency equation of transfer      97Ч100
Average ion model      168Ч71
Average radiation pressure      5
B Ч N method      93
Bessel function addition theorem      37
Blue shift in inverse Compton scattering      183Ч4
Boltzmann constant      2
Boltzmann law      46 162
Bound-bound absorption coefficient      174Ч7
Bound-bound absorption coefficient, broadening of lines      176Ч7
Bound-bound absorption coefficient, classical cross section      174Ч5
Bound-bound absorption coefficient, oscillator strength      175Ч7
Bound-free absorption coefficient      164Ч73
Bound-free absorption coefficient for hydrogen-like atoms      168
Bound-free absorption coefficient, average ion model      168Ч71
Bound-free absorption coefficient, Gaunt factor for      168Ч71
Bound-free absorption coefficient, ionic model      171
Boundary conditions on equation of transfer      15Ч 16
Boundary conditions on equation of transfer in the discrete ordinate (S Ч N) method      84Ч85
Boundary conditions on equation of transfer in the Eddington approximation      52Ч54
Boundary conditions on equation of transfer Marshak      53 73Ч74
Boundary conditions on equation of transfer, free surface      16
Boundary conditions on equation of transfer, in asymptotic diffusion theory      61Ч62
Boundary conditions on equation of transfer, in the spherical harmonic (P Ч N) method      73Ч74 78Ч79
Boundary conditions on equation of transfer, Mark      53 73
Boundary conditions on equation of transfer, vacuum      16
Boundary conditions on equation of transfer, variational      54 74
Cartesian coordinate equation of transfer      23Ч24
Circularly polarized light      112
Coefficient of scattering      6 158Ч60 179Ч80
Coefficient of scattering, classical      179Ч80
Coherent scattering      7
Coherent scattering, Thomson scattering      131Ч4 180
Commutation rule for Lagrangian time derivative and integral over space      233Ч4
Compton      181Ч2 183Ч91
Compton scattering      181Ч2 183Ч210
Compton scattering, Fokker Ч Planck treatment      191Ч6
Compton scattering, scattering from moving electrons      183
Compton scattering, scattering kernel for scattering from a Maxwellian distribution      184Ч91
Compton scattering, the eigenvalue problem for no absorption      197 201
Compton scattering, the eigenvalue problem with absorption      201Ч 10
Compton, fluorescent      159 180
Compton, Lorentz transformation of      155Ч6 272-4
Compton, Raman      159
Compton, resonance      159 180
Compton, Thomson      131Ч4 180
Confluent hypergeometric equation      199
Conservative scattering      7
Continuous absorption coefficient      174
Cross sections      157Ч82
Cross sections, absorption      5Ч6 158
Cross sections, average      89 94
Cross sections, bound-bound absorption      174Ч7
Cross sections, bound-free absorption      164Ч73
Cross sections, classical scattering      179Ч80
Cross sections, Compton      183Ч91
Cross sections, Elsasser band      102Ч3
Cross sections, fluorescent scattering      159 180
Cross sections, free-free absorption      174
Cross sections, Lorentz transformation of      155Ч6 272-4
Cross sections, Planck mean      92
Cross sections, Raman scattering      159
Cross sections, resonance scattering      159 180
Cross sections, Rosseland mean      88 91Ч92
Cross sections, scattering      6Ч8 158Ч60 177-82
Cross sections, Thomson      131Ч4
Cross sections, transport      54
Cylindrical geometry equation of transfer, integro-differential      21Ч23 25Ч26
Cylindrical geometry equation of transfer, PeierlsТ equation      36Ч38
Degeneracy of states      162Ч3 167
Density of fluid      212Ч19
Derivation of equation of transfer, Eulerian      10Ч13
Derivation of equation of transfer, integral      27Ч30
Derivation of equation of transfer, Lagrangian      13Ч15
Derivation of equation of transfer, Peierls      31Ч39
Derivation of equation of transfer, with dispersion and refraction      149Ч53
Derivation of equation of transfer, with induced (stimulated) processes      44Ч47
Derivation of equation of transfer, with polarization      121Ч31
Derivation of equation of transfer, with relativistic effects      154Ч6
Detailed balance condition      184
Differential scattering coefficient      7 177Ч82
Differential scattering coefficient, Compton      181Ч2 183Ч91
Differential scattering coefficient, expansion in Legendre polynomials      17
Differential scattering coefficient, Lorentz transformation of      155Ч6 272-4
Differential scattering coefficient, Thomson      131Ч4 180
Diffraction of light      48
Diffusion approximations      51Ч71
Diffusion approximations with Thomson scattering      136Ч42
Diffusion approximations, asymptotic      55Ч63
Diffusion approximations, Eddington      51Ч55
Diffusion approximations, equilibrium      86Ч88
Diffusion approximations, new      64Ч71
Diffusion coefficient, asymptotic      57
Diffusion coefficient, Eddington      55
Diffusion coefficient, with Thomson scattering      136Ч42
Discontinuity in energy density      70
Discrete ordinate method      84Ч86
Discrete ordinate method Gauss quadrature      85
Discrete ordinate method, boundary conditions      84Ч85
Discrete ordinate method, equivalence to spherical harmonic method      85
Discrete ordinate method, flux      85
Discrete ordinate method, in curvilinear coordinates      85Ч86
Discrete ordinate method, initial conditions      84
Discrete ordinate method, pressure      85
Discrete ordinate method, quadrature methods      84
Discrete ordinate method, ray effects      86
dispersion      49 144Ч53
Dispersion HamiltonТs equations for photons      144Ч9
Dispersion relationship      144Ч5
Dispersion, dispersion relationship      144Ч5
Dispersion, equation of transfer with dispersion and refraction      149Ч53
Dispersion, group velocity      145
Dispersion, refractive index      146
Distribution function for fluid      212
Distribution function for photons      1 20Ч21
Distribution function, Lorentz transformation of      155Ч6 267Ч72
Divergence of a dyad, Eulerian      223 225Ч6 229
Divergence of a dyad,, Lagrangian      253 256 261
Doppler shift in Compton and inverse Compton scattering      183Ч4
Dyad unit      55
Dyad, Eulerian divergence of      223 225Ч6 229
Dyad, Lagrangian divergence of      253 256 261
Eddington approximation      51Ч55
Eddington approximation for Thomson scattering      136Ч42
Eddington approximation, angular distribution      51
Eddington approximation, boundary conditions      52Ч54
Eddington approximation, diffusion coefficient      55
Eddington approximation, FickТs law of diffusion      54
Eddington approximation, initial conditions      52
Eddington approximation, transport coefficient      54
Effective absorption coefficient      46Ч47 163 174
Effective absorption coefficient, Lorentz transformation of      155Ч6 272-4
Eigenfunction expansion of Fokker Ч Planck operator      197Ч210
Eigenfunction expansion of Fokker Ч Planck operator with absorption      201Ч10
Eigenfunction expansion of Fokker Ч Planck operator without absorption      197Ч201
Eigenvalue spectrum of Fokker Ч Planck operator      200 206
Einstein coefficients      160Ч4
Elliptically polarized light      107Ч12
Elliptically polarized light, decomposition of light into      119Ч20
Elliptically polarized light, oppositely polarized      118
Elliptically polarized light, Stokes parameters for      110
Elsasser band      102Ч5
Energy density of radiation field      2
energy levels      158Ч9
Energy levels, fine structure      172Ч3
Energy levels, in average ion model      168Ч71
Energy of fluid      212Ч19
Energy of photon      1 269
Energy-momentum tensor      211Ч12
Equation of transfer      10Ч49
Equation of transfer Cartesian geometry      23Ч24
Equation of transfer for polarized light      121Ч43
Equation of transfer with dispersion and refraction      149Ч53
Equation of transfer with relativistic effects      154Ч6
Equation of transfer, approximations to      50Ч105
Equation of transfer, boundary conditions      15Ч16
Equation of transfer, cylindrical geometry      21Ч23 25Ч26
Equation of transfer, Eulerian derivation      10Ч13
Equation of transfer, induced processes      44Ч47
Equation of transfer, integral form      27Ч30
Equation of transfer, Lagrangian derivation      13Ч15
Equation of transfer, Lorentz transformation of      267Ч74
Equation of transfer, PeierlsТ equation      31Ч39
Equation of transfer, planar geometry      16Ч19
Equation of transfer, spherical geometry      19Ч21 24Ч25
Equation of transfer, validity of      47Ч49
Equation of transfer, variational characterization      39Ч44
Equilibrium diffusion theory      86Ч88
Equilibrium diffusion theory, as solution of equation of transfer      87
Equilibrium diffusion theory, flux      87
Equilibrium diffusion theory, pressure      87
Equilibrium diffusion theory, Rosseland mean transport coefficient      88
Equivalence of two streams of light      113Ч14
Eulerian derivation of equation of transfer      10Ч13
Eulerian hydrodynamics      219Ч32
Eulerian hydrodynamics, Cartesian geometry, nonrelativistic      224Ч5
Eulerian hydrodynamics, Cartesian geometry, relativistic      223Ч4
Eulerian hydrodynamics, cylindrical geometry, nonrelativistic      228
Eulerian hydrodynamics, cylindrical geometry, relativistic      227Ч8
Eulerian hydrodynamics, derivation of equations      219Ч21
Eulerian hydrodynamics, divergence of a dyad      223 225Ч6 229
Eulerian hydrodynamics, integral form      221Ч2
Eulerian hydrodynamics, nonrelativistic limit      222
Eulerian hydrodynamics, relativistic      230Ч1
Eulerian hydrodynamics, spherical geometry nonrelativistic      231
Exponential integral      35
Fermi energy      166
Fermi Ч Dirac statistics      165
FickТs law of diffusion      54 57 61
Fine structure of energy levels      172Ч3
Fluid density, energy, pressure, velocity      212Ч19
Fluid rest frame      155 212
Fluorescent scattering      159 180
Flux of radiation      3 217Ч18
Flux of radiation, in asymptotic diffusion approximation      63
Flux of radiation, in discrete ordinate (S Ч N) method      84
Flux of radiation, in Eddington approximation      54
Flux of radiation, in equilibrium diffusion theory      87
Flux of radiation, in multigroup method      93
Flux of radiation, in spherical harmonic (P Ч N) method      79
Fokker Ч Planck treatment of scattering      191Ч210
Fokker Ч Planck treatment of scattering, basic formulation      191Ч6
Fokker Ч Planck treatment of scattering, eigenvalue problem with absorption      201Ч10
Fokker Ч Planck treatment of scattering, eigenvalue problem with no absorption      197Ч201
Fokker Ч Planck treatment of scattering, numerical methods for      201Ч10
Free surface boundary condition      16
Free-free absorption coefficient      174
Free-free absorption coefficient, Gaunt factor for      174
Functional derivative      40
Gamma function      200
Gaunt factor bound-free      168 171
Gaunt factor bound-free free-free      174
Gauss quadrature      84
Gegenbauer addition theorem for Bessel functions      37
Generalized Planck and Rosseland means      97Ч 102
Gray equation of transfer      89 93Ч96
Group constants      90Ч91
Group velocity      145
HamiltonТs equations for photons      144Ч9
Heavy electron model of scattering      see Fokker- Planck treatment of scattering
Helmholtz equation      63 99
Homogeneous radiation field      2
Hydrodynamics in the presence of radiation      211 65
Hydrodynamics in the presence of radiation, Eulerian      219Ч36
Hydrodynamics in the presence of radiation, kinetic theory considerations      212Ч19
Hydrodynamics in the presence of radiation, Lagrangian      245Ч65
Hydrodynamics in the presence of radiation, Modified Eulerian      236Ч45
Ideal fluid      211Ч12
Independent streams of light      114Ч16
Induced processes      see Stimulated processes
Initial conditions on equation of transfer      16
Initial conditions on equation of transfer, in asymptotic diffusion approximation      61
Initial conditions on equation of transfer, in discrete ordinate (S Ч N) method      84
Initial conditions on equation of transfer, in Eddington approximation      52
Initial conditions on equation of transfer, in spherical harmonic (P Ч N) method      73 78
Inscattering of radiation      12
Inscattering of radiation for polarized light      123
Inscattering of radiation, Lorentz transformation of      155Ч6 272-4
Integral equation of transfer      27Ч31
Integral equation of transfer, PeierlsТ equation of transfer      31Ч39
Interference between photons      48 114Ч16
Inverse Compton scattering      see Compton scattering
Ionic model for absorption coefficients      171
Ionization potential      164Ч5
Isotropic fluid distribution function      212
Isotropic radiation field      2
Isotropic scattering      7
Jacobian in Lagrangian hydrodynamics      247 258 264
Jacobian of transformation      187 247 256 260 270
Kernel for scattering      7
Kernel for scattering, Compton      181Ч2 183Ч91
Kernel for scattering, expansion in Legendre polynomials      17
Kinetic theory      212Ч19
Kinetic theory, average velocity      212
Kinetic theory, fluid rest frame      212
Kinetic theory, isotropic distribution function      212
Kinetic theory, material pressure      213
Kinetic theory, particle density      212Ч14
Kinetic theory, particle energy density      215
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