[PDF][PDF] Linear surface characteristic scheme for the neutron transport equation in unstructured geometries
S Santandrea, P Mosca - Proceeding of Physor, 2006 - researchgate.net
S Santandrea, P Mosca
Proceeding of Physor, 2006•researchgate.netIn this paper we present a new numerical scheme for the Method Of Characteristic (MOC) in
unstructured geometries for the neutron transport equation. The MOC has become a familiar
tool for transport calculations in reactor physics [1], and its use will probably increase in the
future. One of the major drawbacks of the MOC is the difficulty to implement higher-order
integration schemes to improve spatial convergence. We present here a higher-order
schemes for the MOC. We define a conservative and linear characteristic scheme based on …
unstructured geometries for the neutron transport equation. The MOC has become a familiar
tool for transport calculations in reactor physics [1], and its use will probably increase in the
future. One of the major drawbacks of the MOC is the difficulty to implement higher-order
integration schemes to improve spatial convergence. We present here a higher-order
schemes for the MOC. We define a conservative and linear characteristic scheme based on …
Abstract
In this paper we present a new numerical scheme for the Method Of Characteristic (MOC) in unstructured geometries for the neutron transport equation. The MOC has become a familiar tool for transport calculations in reactor physics [1], and its use will probably increase in the future. One of the major drawbacks of the MOC is the difficulty to implement higher-order integration schemes to improve spatial convergence. We present here a higher-order schemes for the MOC. We define a conservative and linear characteristic scheme based on linear interpolation on the surface’s values of the collisions sources. We have called it Conservative Linear Surface (CLS) scheme in contrast to a preceding non conservative version. Results comparisons of the well-known Stepanek benchmark show CLS faster convergence over the standard step characteristic scheme. A generalization of the synthetic DPN acceleration scheme provides an efficient method to accelerate the internal transport iterations.
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