Conservative general relativistic radiation hydrodynamics in spherical symmetry and comoving coordinates

Journal Article · Tue May 15 04:00:00 EDT 2001 · Physical Review D

DOI:https://doi.org/10.1103/PhysRevD.63.104003· OSTI ID:40204993

Liebendo''rfer, Matthias; Mezzacappa, Anthony; Thielemann, Friedrich-Karl

The description of general relativistic radiation hydrodynamics in spherical symmetry is presented in natural coordinate choices. For hydrodynamics, comoving coordinates are chosen and the momentum phase space for the radiation particles is described in comoving frame four-momenta. We also investigate a description of the momentum phase space in terms of the particle impact parameter and energy at infinity and derive a simple approximation to the general relativistic Boltzmann equation. Further developed are, however, the exact equations in comoving coordinates since the description of the interaction between matter and radiation particles is best described in the closely related orthonormal basis comoving with the fluid elements. We achieve a conservative and concise formulation of radiation hydrodynamics that is well suited for numerical implementation by a variety of methods. The contribution of radiation to the general relativistic jump conditions at shock fronts is discussed and artificial viscosity is consistently included in the derivations in order to support approaches relying on this option.

• Sponsoring Organization: (US)
• OSTI ID: 40204993
• Journal Information: Physical Review D, Journal Name: Physical Review D Journal Issue: 10 Vol. 63; ISSN 0556-2821
• Publisher: The American Physical Society
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
BOLTZMANN EQUATION
HYDRODYNAMICS
IMPACT PARAMETER
IMPLEMENTATION
PHASE SPACE
RADIATIONS
SYMMETRY
VISCOSITY