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.
- OSTI ID:
- 21499763
- Journal Information:
- Journal of Computational Physics, Journal Name: Journal of Computational Physics Journal Issue: 3 Vol. 230; ISSN JCTPAH; ISSN 0021-9991
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
BOLTZMANN EQUATION
CALCULATION METHODS
DIFFERENTIAL EQUATIONS
DISCRETE ORDINATE METHOD
EQUATIONS
ERRORS
FINITE ELEMENT METHOD
FUNCTIONALS
FUNCTIONS
INFORMATION THEORY
INTEGRO-DIFFERENTIAL EQUATIONS
KINETIC EQUATIONS
KINETICS
MATHEMATICAL MODELS
MATHEMATICAL SOLUTIONS
NUMERICAL SOLUTION
PARTIAL DIFFERENTIAL EQUATIONS
RADIATION TRANSPORT
REACTION KINETICS
TWO-DIMENSIONAL CALCULATIONS