Standard and goal-oriented adaptive mesh refinement applied to radiation transport on 2D unstructured triangular meshes
Standard and goal-oriented adaptive mesh refinement (AMR) techniques are presented for the linear Boltzmann transport equation. A posteriori error estimates are employed to drive the AMR process and are based on angular-moment information rather than on directional information, leading to direction-independent adapted meshes. An error estimate based on a two-mesh approach and a jump-based error indicator are compared for various test problems. In addition to the standard AMR approach, where the global error in the solution is diminished, a goal-oriented AMR procedure is devised and aims at reducing the error in user-specified quantities of interest. The quantities of interest are functionals of the solution and may include, for instance, point-wise flux values or average reaction rates in a subdomain. A high-order (up to order 4) Discontinuous Galerkin technique with standard upwinding is employed for the spatial discretization; the discrete ordinates method is used to treat the angular variable.
- Research Organization:
- Idaho National Laboratory (INL)
- Sponsoring Organization:
- USDOE
- DOE Contract Number:
- AC07-05ID14517
- OSTI ID:
- 1011140
- Report Number(s):
- INL/JOU-11-21735
- Journal Information:
- Journal of Computational Physics, Journal Name: Journal of Computational Physics Journal Issue: 3 Vol. 230; ISSN 0021-9991
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
97 MATHEMATICS AND COMPUTING
BOLTZMANN EQUATION
DISCRETE ORDINATE METHOD
ITERATIVE METHODS
MESH GENERATION
RADIATION TRANSPORT
adaptive mesh refinement
discontinuous finite element techniques
discrete ordinates method
error estimates
goal-oriented mesh refinement
radiation transport