skip to main content

SciTech ConnectSciTech Connect

Title: Asymptotic diffusion limit of cell temperature discretisation schemes for thermal radiation transport

This paper attempts to unify the asymptotic diffusion limit analysis of thermal radiation transport schemes, for a linear-discontinuous representation of the material temperature reconstructed from cell centred temperature unknowns, in a process known as ‘source tilting’. The asymptotic limits of both Monte Carlo (continuous in space) and deterministic approaches (based on linear-discontinuous finite elements) for solving the transport equation are investigated in slab geometry. The resulting discrete diffusion equations are found to have nonphysical terms that are proportional to any cell-edge discontinuity in the temperature representation. Based on this analysis it is possible to design accurate schemes for representing the material temperature, for coupling thermal radiation transport codes to a cell centred representation of internal energy favoured by ALE (arbitrary Lagrange–Eulerian) hydrodynamics schemes.
Authors:
 [1] ;  [2] ;  [3]
  1. AWE PLC, Aldermaston, Reading, Berkshire, RG7 4PR (United Kingdom)
  2. (United Kingdom)
  3. Department of Nuclear Engineering, Texas A & M University, College Station, TX 77843-3133 (United States)
Publication Date:
OSTI Identifier:
22465619
Resource Type:
Journal Article
Resource Relation:
Journal Name: Journal of Computational Physics; Journal Volume: 286; Other Information: Copyright (c) 2015 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; DIFFUSION EQUATIONS; HEAT TRANSFER; HYDRODYNAMICS; MONTE CARLO METHOD; SLABS; THERMAL RADIATION; TRANSPORT THEORY