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(1 Introduction)
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(2 Radiation Hydrodynamics)
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(2.1 System of Equations in One Spatial Dimension)
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(2.2 Asymptotics)
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(2.2.1 Free Streaming Limit: a, t O\(\))
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(2.2.2 Weak Equilibrium Diffusion Limit: a, t O\(1\))
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(2.2.3 Strong Equilibrium Diffusion Limit: a, t O\(1/\))
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(2.2.4 Isothermal Limit)
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<< /D (section.3) /S /GoTo >>
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(3 Overview of Algorithm and the Nike Code)
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(3.1 Effective CFL Condition)
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(3.2 Algorithmic Steps)
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(3.3 Numerical Properties)
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(4 Backward Euler Upwinding Scheme)
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(4.1 Implicit Schemes and TVD Conditions)
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(4.2 Linearity and Choice of Algorithm)
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(4.3 HLLE Framework)
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(4.4 Applying the Backward Euler HLLE Scheme)
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(4.5 Matrix Equation for the Radiation Components)
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(5 Modified Godunov Predictor Scheme)
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(5.1 Applying the Modified Godunov Predictor Scheme)
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(5.1.1 Simplifying Um Sm\(U\))
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(5.1.2 Propagation Operator I)
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(5.2 Effective Material Jacobian Ameff)
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(5.3 Computing Left/Right States)
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(6 Modified Godunov Corrector Scheme)
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<< /D (section.7) /S /GoTo >>
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(7 Numerical Tests of Nike)
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(8 Hydrodynamics)
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(8.1 Linear Advection)
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(8.2 Propagation of Linear Modes)
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(8.3 Sod Shock Tube)
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(9 Radiation Subsystem)
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(9.1 Linear Advection - Free Steaming Limit)
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(9.2 Exponential Growth/Decay to Thermal Equilibrium)
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(9.3 Weak Equilibrium Diffusion Limit)
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(9.4 Strong Equilibrium Diffusion Limit)
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(9.5 Su-Olson Non-Equilibrium Diffusion)
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(10 Full Radiation Hydrodynamics)
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(11 Conclusions and Future Work)
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