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Book II: The Physics in HYADES

  • A. Introduction and General Considerations Unavailable

  • B. Ionization Unavailable

  • C. Equation of State Unavailable

  • D. Hydrodynamics Download
      1. Eulerian and Lagrangean Coordinate Systems
      1. Inviscid Hydrodynamic Motion
      1. Method of Characteristics
      1. Acoustic Waves
      1. Shock Waves
        1. Jump conditions
        1. Shock waves in a perfect gas
        1. Reflected shock waves
        1. Relation of the free surface velocity to the shock particle velocity
        1. Shocks in an ionized plasma
      1. Hydrodynamic Motion of Viscous and Heat Conducting Fluids
      1. Artificial Viscosity
      1. Fluid Viscosities
        1. Plasma viscosity
        1. Viscous heating and momentum flux limiting
      1. Subcycling
      1. Implementation in 1D HYADES
        1. Void closure
        1. Initial and boundary conditions
        1. Real viscosities
        1. Artificial viscosities
        1. Gravity
        1. Sources
        1. Time step controls
        1. User accessible parameters

  • E. Thermal Energy Transport Download
      1. Thermal Electron Energy Transport
        1. Linear heat conduction
        1. Non linear heat conduction
        1. Thermal conductivity
        1. Thermal electron transport coefficients
        1. Thermal flux limit
      1. Thermal Ion Energy Transport
        1. Thermal ion transport coefficients
      1. Electron-Ion Thermal Energy Transfer
      1. Electron Degeneracy
      1. Collision Logarithms
        1. Electron-ion collisions
        1. Ion-ion collisions
      1. Electron Mean Free Path Corrections
      1. Implementation in 1D HYADES
        1. PdV work
        1. Electron-ion coupling
        1. Thermal electron diffusion coefficient
        1. D.C. electrical conductivity
        1. Electron-ion collision logarithm
        1. Thermal ion diffusion coefficient
        1. Ion-ion collision logarithm
        1. Initial and boundary conditions
        1. The diffusion equation
        1. Sources
        1. Time step controls
        1. User accessible parameters
  • F. Laser Interactions with Matter Unavailable

  • G. Thermal Radiation Transport Download
      1. The radiation field
        1. Radiation energy density
        1. Radiative energy flux
        1. Radiation pressure tensor
      1. Equilibrium radiation
        1. Planck's law
        1. Thermodynamics of equilibrium radiation
      1. Transfer of Radiation
        1. Interaction of the radiation field with matter
        1. The equation of transfer
        1. Kirchhoff-Planck law
        1. Induced processes
        1. Optical depth
        1. Equations of radiation hydrodynamics
      1. Emission of radiation
        1. Free-free emission (bremsstrahlung)
        1. Free-free absorption (inverse bremsstrahlung)
        1. Free-bound emission (photoionization)
        1. Bound-free absorption (radiative recombination)
        1. Compton scattering
        1. Electron degeneracy
      1. Approximate Solutions to the Equation of Transfer
        1. Diffusion (Eddington) approximation
        1. Boundary conditions
        1. Equilibrium diffusion approximation and the Rosseland mean
        1. Emission approximation and the Planck mean
        1. Flux limiting
        1. Wave equation
        1. Multigroup diffusion
        1. Gray diffusion approximation
      1. Implementation in 1D HYADES
        1. Gray diffusion
        1. Multigroup diffusion
        1. Sources and leaks
        1. Time step controls
        1. Modifications to other portions of HYADES
        1. User accessible parameters
  • H. Optical Absorption and Emission Coefficients Unavailable

  • I. Thermonuclear Reactions Unavailable

  • J. Magnetic Fields (in preparation) Download
      1. Momentum Equation
      1. Magnetic Induction Equation
      1. Electron Thermal Energy Equation
      1. Ion Thermal Energy Equation
      1. Flux Limiting
      1. Electron Degeneracy
      1. Bohm Diffusion
      1. Boundary Conditions
      1. Magnetic Energy
      1. External Circuit

  • K. Material Constitutive Models Download
      1. Elastic-Plastic Waves
      1. The Stress Tensor
      1. The Strain Tensor
      1. Thermodynamics of Deformation
      1. Hooke’s Law
      1. Thermal Deformations
      1. Elastic Waves
      1. Plastic Flow
      1. Yield Strength
      1. Plastic Strain
      1. Flow Stress Models
        1. Strain hardening
        1. Thermal softening
        1. Strain rate hardening
        1. Deformation history
        1. Models
      1. Spallation
      1. Implementation in 1D HYADES
  • L. Numerical Issues Unavailable

  • M. Miscellaneous Notes Download
      1. Point Explosions
        1. Initial gas density is constant
        1. Initial gas density is position dependent
        1. Special cases