1. Spectral formulations to the solution of particle transport problems.
- Author
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Basso Barichello, Liliane, Rodrigues Fortes, Patricia, Becker Picoloto, Camila, and de Camargo, Mariza
- Subjects
RAREFIED gas dynamics ,LINEAR differential equations ,NEUTRON transport theory ,INTEGRAL equations ,EIGENVALUES ,GAS dynamics ,GAUSSIAN quadrature formulas - Abstract
In this work, a deterministic approach to the solution of the integral linear differential Boltzmann equation, in one and twodimensional media, is presented. Explicit solutions, in terms of the spatial variables, for the discrete ordinates approximation of the original model are obtained from a spectral formulation. A relevant feature of the methodology is the reduced order of the eigenvalue problems, which is given as half of the number of the discrete directions. Such aspect, along with the use of arbitrary quadrature schemes to represent the integral term of the equation, are fundamental to provide fast, concise and accurate solutions to several problems of interest. In particular, the solutions here are derived for models associated with two different applications: rarefied gas dynamics and neutron transport. [ABSTRACT FROM AUTHOR]
- Published
- 2020
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