High-order diamond differencing schemes for the Boltzmann Fokker-Planck equation in 3D Cartesian geometries
- Institut de Genie Atomique, Polytechnique Montreal, P.O. Box 6079, Station Centre-Ville, Montreal, PQ H3C 3A7 (Canada)
The Boltzmann Fokker-Planck, an approximate form of the linear Boltzmann equation is commonly used to treat efficiently the transport of charged particles in matter. This paper introduces the application of high-order diamond differencing schemes (HODD), specifically the DD1 and DD2 schemes which are 4- and 6-order accurate respectively, to handle the spatial discretization of that equation in 3D Cartesian geometries. The energy deposition solutions for the coupled transport of electrons and photons presented in this work shows that HODD, compared to classical DD scheme, provides correction to the oscillations and a reduced propensity to yield negative fluxes. They are useful tools to minimize local error, notably in regions with abrupt variations of the flux solution. They also can be used to reduced execution time by decreasing the needed number of voxels to obtain a fixed accuracy. On the tested benchmarks, the DD1 scheme is 87%- 92%-91% more accurate than the classical DD scheme for total, mean per-voxels and maximum deviation of energy deposition values respectively. For comparison, a calculation with 8 times more voxels, requiring roughly 2.5 times more time to execute, is 92%-90%-77% more accurate. (authors)
- Research Organization:
- American Nuclear Society - ANS, La Grange Park, IL 60526 (United States)
- OSTI ID:
- 23178690
- Resource Relation:
- Conference: PHYSOR 2022: International conference on physics of reactors, Pittsburg (United States), 15-20 May 2022; Other Information: Country of input: France; 17 refs.; Related Information: In: Proceedings of the international conference on physics of reactors - Physor 2022| 3701 p.
- Country of Publication:
- United States
- Language:
- English
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