TY - JOUR
T1 - Relativistic radiation hydrodynamics in a reference-metric formulation
AU - Baumgarte, Thomas W.
AU - Shapiro, Stuart L.
N1 - Funding Information:
It is a pleasure to thank Yuk Tung Liu for helpful conversations. This work was supported by National Science Foundation (NSF) Grants No. PHY-1707526 and No. PHY-2010394 to Bowdoin College, NSF Grants No. PHY-166221 and No. PHY-2006066 and National Aeronautics and Space Administration (NASA) Grant No. 80NSSC17K0070 to the University of Illinois at Urbana-Champaign, and through sabbatical support from the Simons Foundation (Grant No. 561147 to T. W. B.).
Publisher Copyright:
© 2020 American Physical Society.
PY - 2020/11/3
Y1 - 2020/11/3
N2 - We adopt a two-moment formalism, together with a reference-metric approach, to express the equations of relativistic radiation hydrodynamics in a form that is well suited for numerical implementations in curvilinear coordinates. We illustrate the approach by employing a gray opacity in an optically thick medium. As numerical demonstrations we present results for two test problems, namely stationary, slab-symmetric solutions in flat spacetimes, including shocks, and heated Oppenheimer-Snyder collapse to a black hole. For the latter, we carefully analyze the transition from an initial transient to a post-transient phase that is well described by an analytically known diffusion solution. We discuss the properties of the numerical solution when rendered in moving-puncture coordinates.
AB - We adopt a two-moment formalism, together with a reference-metric approach, to express the equations of relativistic radiation hydrodynamics in a form that is well suited for numerical implementations in curvilinear coordinates. We illustrate the approach by employing a gray opacity in an optically thick medium. As numerical demonstrations we present results for two test problems, namely stationary, slab-symmetric solutions in flat spacetimes, including shocks, and heated Oppenheimer-Snyder collapse to a black hole. For the latter, we carefully analyze the transition from an initial transient to a post-transient phase that is well described by an analytically known diffusion solution. We discuss the properties of the numerical solution when rendered in moving-puncture coordinates.
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U2 - 10.1103/PhysRevD.102.104001
DO - 10.1103/PhysRevD.102.104001
M3 - Article
AN - SCOPUS:85096143855
SN - 2470-0010
VL - 102
JO - Physical Review D
JF - Physical Review D
IS - 10
M1 - 104001
ER -