Adaptive-mesh radiation hydrodynamics. I - The radiation transport equation in a completely adaptive coordinate system. II - The radiation and fluid equations in relativistic flows

Details Adaptive-mesh radiation hydrodynamics. I - The radiation transport equation in a completely adaptive coordinate system. II - The radiation and fluid equations in relativistic flows Adaptive-mesh radiation hydrodynamics. I - The radiation transport equation in a completely adaptive coordinate system. II - The radiation and fluid equations in relativistic flows

Jun 1984

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984jqsrt..31..473w&link_type=abstract

Journal of Quantitative Spectroscopy and Radiative Transfer (ISSN 0022-4073), vol. 31, June 1984, p. 473-489.

Statistics

Computation

18

Boltzmann Transport Equation, Computational Fluid Dynamics, Hydrodynamics, Radiation Transport, Adaptive Control, Computational Grids, Computerized Simulation, Coordinates, Radiative Transfer

Scientific paper

The radiation transport equation is formulated in a completely adaptive coordinate system, and the characteristic radiation and fluid equations for relativistic flows in the system are derived. The coordinate system is defined as a mesh in spacetime, where angles and frequency automatically adapt to the dynamical evolution of the radiation field and fluid flow. The equations are fully conservative in all variables and can be used to derive conservative difference schemes. The equations are expected to be very useful in the development of algorithms for implementing adaptive mesh fluid equations in both the relativistic and Newtonian limits.

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