Journal
TRANSPORT THEORY AND STATISTICAL PHYSICS
Volume 41, Issue 3-4, Pages 284-303Publisher
TAYLOR & FRANCIS INC
DOI: 10.1080/00411450.2012.671224
Keywords
thermal radiative transfer; scale-bridging algorithm; Quasi-diffusion; Jacobian-free Newton-Krylov method
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Funding
- US government [DE-AC52-06NA25396]
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We present an efficient numerical algorithm for solving the time-dependent grey thermal radiative transfer (TRT) equations. The algorithm utilizes the first two angular moments of the TRT equations (Quasi-diffusion (QD)) together with the material temperature equation to form a nonlinear low-order (LO) system. The LO system is solved via the Jacobian-free Newton-Krylov method. The combined high-order (HO) TRT and LO-QD system is used to bridge the diffusion and transport scales. In addition, a consistency term is introduced to make the truncation error in the LO system identical to the truncation error in the HO equation. The derivation of the consistency term is rather general; therefore, it can be extended to a variety of spatial and temporal discretizations.
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