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



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Íàçâàíèå: The equations of radiation hydrodynamics

Àâòîð: Pomraning G.C.

ßçûê: en

Ðóáðèêà: Ôèçèêà/Êëàññè÷åñêàÿ ôèçèêà/Ìåõàíèêà æèäêîñòè è ãàçà/

Ñòàòóñ ïðåäìåòíîãî óêàçàòåëÿ: Ãîòîâ óêàçàòåëü ñ íîìåðàìè ñòðàíèö

ed2k: ed2k stats

Ãîä èçäàíèÿ: 1973

Êîëè÷åñòâî ñòðàíèö: 287

Äîáàâëåíà â êàòàëîã: 30.06.2005

Îïåðàöèè: Ïîëîæèòü íà ïîëêó | Ñêîïèðîâàòü ññûëêó äëÿ ôîðóìà | Ñêîïèðîâàòü ID
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Ïðåäìåòíûé óêàçàòåëü
(P — N) method Polarization, importance of accounting for, in equation of transfer      136—43
Absorption coefficient      5—6 158 160—77
Absorption coefficient for hydrogen-like atoms      167
Absorption coefficient, average      89 94
Absorption coefficient, bound-bound      174—7
Absorption coefficient, bound-free      164—73
Absorption coefficient, Elsasser band      102—3
Absorption coefficient, free-free      174
Absorption coefficient, generalized Planck and Rosseland means      97—102
Absorption coefficient, in terms of Einstein coefficients      161—3
Absorption coefficient, Lorentz transformation of      155—6 272-4
Absorption coefficient, Planck mean      92
Absorption coefficient, Rosseland mean      88 91—92
Addition theorem      18 37
Addition theorem for Legendre polynomials      18
Addition theorem, Gegenbauer, for Bessel functions      37
Additivity of Stokes parameters      114—16
Adjoint operator      41
Anisotropic scattering      7
Anisotropic scattering, Compton scattering      181—2 183—91
Anisotropic scattering, in asymptotic analysis      56 61 139—43
Anisotropic scattering, in Eddington approximation      54 139
Anisotropic scattering, in spherical harmonic method      71—74 78
Anisotropic scattering, Thomson scattering      131—4 180
Approximate descriptions of radiative transfer      51— 105
Approximate descriptions of radiative transfer Eddington approximation      51—55
Approximate descriptions of radiative transfer, diffusion approximations      51—71
Approximate descriptions of radiative transfer, discrete ordinate method      84—86
Approximate descriptions of radiative transfer, equilibrium diffusion theory      86—88
Approximate descriptions of radiative transfer, multigroup methods      88—105
Approximate descriptions of radiative transfer, P — N method      71—83
Approximate descriptions of radiative transfer, S — N method      84—86
Approximate descriptions of radiative transfer, spherical harmonic method      71—83
Asymptotic analysis of Fokker — Planck eigenvalue problem      201—5
Asymptotic diffusion theory      64—71
Asymptotic diffusion theory, angular distribution      56
Asymptotic diffusion theory, anisotropic scattering      56 61 139—43
Asymptotic diffusion theory, boundary conditions      61—62
Asymptotic diffusion theory, diffusion coefficient      57
Asymptotic diffusion theory, Fick’s law of diffusion      61
Asymptotic diffusion theory, initial condition      61
Asymptotic solution of multifrequency equation of transfer      97—100
Average ion model      168—71
Average radiation pressure      5
B — N method      93
Bessel function addition theorem      37
Blue shift in inverse Compton scattering      183—4
Boltzmann constant      2
Boltzmann law      46 162
Bound-bound absorption coefficient      174—7
Bound-bound absorption coefficient, broadening of lines      176—7
Bound-bound absorption coefficient, classical cross section      174—5
Bound-bound absorption coefficient, oscillator strength      175—7
Bound-free absorption coefficient      164—73
Bound-free absorption coefficient for hydrogen-like atoms      168
Bound-free absorption coefficient, average ion model      168—71
Bound-free absorption coefficient, Gaunt factor for      168—71
Bound-free absorption coefficient, ionic model      171
Boundary conditions on equation of transfer      15— 16
Boundary conditions on equation of transfer in the discrete ordinate (S — N) method      84—85
Boundary conditions on equation of transfer in the Eddington approximation      52—54
Boundary conditions on equation of transfer Marshak      53 73—74
Boundary conditions on equation of transfer, free surface      16
Boundary conditions on equation of transfer, in asymptotic diffusion theory      61—62
Boundary conditions on equation of transfer, in the spherical harmonic (P — N) method      73—74 78—79
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      23—24
Circularly polarized light      112
Coefficient of scattering      6 158—60 179—80
Coefficient of scattering, classical      179—80
Coherent scattering      7
Coherent scattering, Thomson scattering      131—4 180
Commutation rule for Lagrangian time derivative and integral over space      233—4
Compton      181—2 183—91
Compton scattering      181—2 183—210
Compton scattering, Fokker — Planck treatment      191—6
Compton scattering, scattering from moving electrons      183
Compton scattering, scattering kernel for scattering from a Maxwellian distribution      184—91
Compton scattering, the eigenvalue problem for no absorption      197 201
Compton scattering, the eigenvalue problem with absorption      201— 10
Compton, fluorescent      159 180
Compton, Lorentz transformation of      155—6 272-4
Compton, Raman      159
Compton, resonance      159 180
Compton, Thomson      131—4 180
Confluent hypergeometric equation      199
Conservative scattering      7
Continuous absorption coefficient      174
Cross sections      157—82
Cross sections, absorption      5—6 158
Cross sections, average      89 94
Cross sections, bound-bound absorption      174—7
Cross sections, bound-free absorption      164—73
Cross sections, classical scattering      179—80
Cross sections, Compton      183—91
Cross sections, Elsasser band      102—3
Cross sections, fluorescent scattering      159 180
Cross sections, free-free absorption      174
Cross sections, Lorentz transformation of      155—6 272-4
Cross sections, Planck mean      92
Cross sections, Raman scattering      159
Cross sections, resonance scattering      159 180
Cross sections, Rosseland mean      88 91—92
Cross sections, scattering      6—8 158—60 177-82
Cross sections, Thomson      131—4
Cross sections, transport      54
Cylindrical geometry equation of transfer, integro-differential      21—23 25—26
Cylindrical geometry equation of transfer, Peierls’ equation      36—38
Degeneracy of states      162—3 167
Density of fluid      212—19
Derivation of equation of transfer, Eulerian      10—13
Derivation of equation of transfer, integral      27—30
Derivation of equation of transfer, Lagrangian      13—15
Derivation of equation of transfer, Peierls      31—39
Derivation of equation of transfer, with dispersion and refraction      149—53
Derivation of equation of transfer, with induced (stimulated) processes      44—47
Derivation of equation of transfer, with polarization      121—31
Derivation of equation of transfer, with relativistic effects      154—6
Detailed balance condition      184
Differential scattering coefficient      7 177—82
Differential scattering coefficient, Compton      181—2 183—91
Differential scattering coefficient, expansion in Legendre polynomials      17
Differential scattering coefficient, Lorentz transformation of      155—6 272-4
Differential scattering coefficient, Thomson      131—4 180
Diffraction of light      48
Diffusion approximations      51—71
Diffusion approximations with Thomson scattering      136—42
Diffusion approximations, asymptotic      55—63
Diffusion approximations, Eddington      51—55
Diffusion approximations, equilibrium      86—88
Diffusion approximations, new      64—71
Diffusion coefficient, asymptotic      57
Diffusion coefficient, Eddington      55
Diffusion coefficient, with Thomson scattering      136—42
Discontinuity in energy density      70
Discrete ordinate method      84—86
Discrete ordinate method Gauss quadrature      85
Discrete ordinate method, boundary conditions      84—85
Discrete ordinate method, equivalence to spherical harmonic method      85
Discrete ordinate method, flux      85
Discrete ordinate method, in curvilinear coordinates      85—86
Discrete ordinate method, initial conditions      84
Discrete ordinate method, pressure      85
Discrete ordinate method, quadrature methods      84
Discrete ordinate method, ray effects      86
dispersion      49 144—53
Dispersion Hamilton’s equations for photons      144—9
Dispersion relationship      144—5
Dispersion, dispersion relationship      144—5
Dispersion, equation of transfer with dispersion and refraction      149—53
Dispersion, group velocity      145
Dispersion, refractive index      146
Distribution function for fluid      212
Distribution function for photons      1 20—21
Distribution function, Lorentz transformation of      155—6 267—72
Divergence of a dyad, Eulerian      223 225—6 229
Divergence of a dyad,, Lagrangian      253 256 261
Doppler shift in Compton and inverse Compton scattering      183—4
Dyad unit      55
Dyad, Eulerian divergence of      223 225—6 229
Dyad, Lagrangian divergence of      253 256 261
Eddington approximation      51—55
Eddington approximation for Thomson scattering      136—42
Eddington approximation, angular distribution      51
Eddington approximation, boundary conditions      52—54
Eddington approximation, diffusion coefficient      55
Eddington approximation, Fick’s law of diffusion      54
Eddington approximation, initial conditions      52
Eddington approximation, transport coefficient      54
Effective absorption coefficient      46—47 163 174
Effective absorption coefficient, Lorentz transformation of      155—6 272-4
Eigenfunction expansion of Fokker — Planck operator      197—210
Eigenfunction expansion of Fokker — Planck operator with absorption      201—10
Eigenfunction expansion of Fokker — Planck operator without absorption      197—201
Eigenvalue spectrum of Fokker — Planck operator      200 206
Einstein coefficients      160—4
Elliptically polarized light      107—12
Elliptically polarized light, decomposition of light into      119—20
Elliptically polarized light, oppositely polarized      118
Elliptically polarized light, Stokes parameters for      110
Elsasser band      102—5
Energy density of radiation field      2
energy levels      158—9
Energy levels, fine structure      172—3
Energy levels, in average ion model      168—71
Energy of fluid      212—19
Energy of photon      1 269
Energy-momentum tensor      211—12
Equation of transfer      10—49
Equation of transfer Cartesian geometry      23—24
Equation of transfer for polarized light      121—43
Equation of transfer with dispersion and refraction      149—53
Equation of transfer with relativistic effects      154—6
Equation of transfer, approximations to      50—105
Equation of transfer, boundary conditions      15—16
Equation of transfer, cylindrical geometry      21—23 25—26
Equation of transfer, Eulerian derivation      10—13
Equation of transfer, induced processes      44—47
Equation of transfer, integral form      27—30
Equation of transfer, Lagrangian derivation      13—15
Equation of transfer, Lorentz transformation of      267—74
Equation of transfer, Peierls’ equation      31—39
Equation of transfer, planar geometry      16—19
Equation of transfer, spherical geometry      19—21 24—25
Equation of transfer, validity of      47—49
Equation of transfer, variational characterization      39—44
Equilibrium diffusion theory      86—88
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      113—14
Eulerian derivation of equation of transfer      10—13
Eulerian hydrodynamics      219—32
Eulerian hydrodynamics, Cartesian geometry, nonrelativistic      224—5
Eulerian hydrodynamics, Cartesian geometry, relativistic      223—4
Eulerian hydrodynamics, cylindrical geometry, nonrelativistic      228
Eulerian hydrodynamics, cylindrical geometry, relativistic      227—8
Eulerian hydrodynamics, derivation of equations      219—21
Eulerian hydrodynamics, divergence of a dyad      223 225—6 229
Eulerian hydrodynamics, integral form      221—2
Eulerian hydrodynamics, nonrelativistic limit      222
Eulerian hydrodynamics, relativistic      230—1
Eulerian hydrodynamics, spherical geometry nonrelativistic      231
Exponential integral      35
Fermi energy      166
Fermi — Dirac statistics      165
Fick’s law of diffusion      54 57 61
Fine structure of energy levels      172—3
Fluid density, energy, pressure, velocity      212—19
Fluid rest frame      155 212
Fluorescent scattering      159 180
Flux of radiation      3 217—18
Flux of radiation, in asymptotic diffusion approximation      63
Flux of radiation, in discrete ordinate (S — 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 — N) method      79
Fokker — Planck treatment of scattering      191—210
Fokker — Planck treatment of scattering, basic formulation      191—6
Fokker — Planck treatment of scattering, eigenvalue problem with absorption      201—10
Fokker — Planck treatment of scattering, eigenvalue problem with no absorption      197—201
Fokker — Planck treatment of scattering, numerical methods for      201—10
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      97— 102
Gray equation of transfer      89 93—96
Group constants      90—91
Group velocity      145
Hamilton’s equations for photons      144—9
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      219—36
Hydrodynamics in the presence of radiation, kinetic theory considerations      212—19
Hydrodynamics in the presence of radiation, Lagrangian      245—65
Hydrodynamics in the presence of radiation, Modified Eulerian      236—45
Ideal fluid      211—12
Independent streams of light      114—16
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 — N) method      84
Initial conditions on equation of transfer, in Eddington approximation      52
Initial conditions on equation of transfer, in spherical harmonic (P — N) method      73 78
Inscattering of radiation      12
Inscattering of radiation for polarized light      123
Inscattering of radiation, Lorentz transformation of      155—6 272-4
Integral equation of transfer      27—31
Integral equation of transfer, Peierls’ equation of transfer      31—39
Interference between photons      48 114—16
Inverse Compton scattering      see Compton scattering
Ionic model for absorption coefficients      171
Ionization potential      164—5
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      181—2 183—91
Kernel for scattering, expansion in Legendre polynomials      17
Kinetic theory      212—19
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      212—14
Kinetic theory, particle energy density      215
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