New self-similar radiation-hydrodynamics solutions in the high-energy density, equilibrium diffusion limit

DOI10.1088/1367-2630/15/9/095013zbMath1451.85008OpenAlexW2137384862MaRDI QIDQ5141577

Taylor K. Lane, Ryan G. McClarren

Publication date: 18 December 2020

Published in: New Journal of Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/1367-2630/15/9/095013

Mathematics Subject Classification ID

Hydrodynamic and hydromagnetic problems in astronomy and astrophysics (85A30) Radiative transfer in astronomy and astrophysics (85A25) Self-similar solutions to PDEs (35C06) Radiative heat transfer (80A21)

Related Items (3)

Data-driven acceleration of thermal radiation transfer calculations with the dynamic mode decomposition and a sequential singular value decomposition ⋮ Two-Group Radiative Transfer Benchmarks for the Non-Equilibrium Diffusion Model ⋮ One-Dimensional Models for Time-Dependent Transport in Solid Cylinders

Cites Work

• Nonlinear variants of the TR/BDF2 method for thermal radiative diffusion
• Semi-implicit time integration for \(P_N\) thermal radiative transfer
• The effects of slope limiting on asymptotic-preserving numerical methods for hyperbolic conservation laws
• Asymptotic analysis of a computational method for time- and frequency-dependent radiative transfer
• Asymptotic equilibrium diffusion analysis of time-dependent Monte Carlo methods for grey radiative transfer
• Radiative shock solutions with grey nonequilibrium diffusion
• Radiative shock solutions in the equilibrium diffusion limit
• Properties of the implicitly time-differenced equations of thermal radiation transport
• On solutions to the \(P_n\) equations for thermal radiative transfer
• Lie group invariance properties of radiation hydrodynamics equations and their associated similarity solutions
• Effect of Radiation on Shock Wave Behavior

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