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Richard Vasques

Assistant Professor of Nuclear Engineering

[P5] State of the art of particle transport theory in stochastic media

Conference paper

Richard Vasques, Marco T. Vilhena, Mark Thompson, Edward W. Larsen
Proceedings of XXV CILAMCE: Iberian Latin American Congress on Computational Methods in Engineering, Recife, Brazil, 2004 Nov
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APA
Vasques, R., Vilhena, M. T., Thompson, M., & Larsen, E. W. (2004). [P5] State of the art of particle transport theory in stochastic media. In Proceedings of XXV CILAMCE: Iberian Latin American Congress on Computational Methods in Engineering. Recife, Brazil.

Chicago/Turabian
Vasques, Richard, Marco T. Vilhena, Mark Thompson, and Edward W. Larsen. “[P5] State of the Art of Particle Transport Theory in Stochastic Media.” In Proceedings of XXV CILAMCE: Iberian Latin American Congress on Computational Methods in Engineering. Recife, Brazil, 2004.

MLA
Vasques, Richard, et al. “[P5] State of the Art of Particle Transport Theory in Stochastic Media.” Proceedings of XXV CILAMCE: Iberian Latin American Congress on Computational Methods in Engineering, 2004.

ABSTRACT: In this work we report the state of art of particle transport theory in stochastic media, discussing in detail the derivation of the atomic mix and the Levermore-Pomraning models. We consider time independent stochastic transport in a randomly mixed binary medium. A Monte Carlo procedure is used to generate a physical realization of the statistics, and for this realization we numerically solve the transport equation, using the LTSN formulation. The ensemble-averaged solution, as well as the standard deviation, is obtained by averaging a large number of such calculations. Then, we compare this solution with those obtained for the atomic mix and the Levermore-Pomraning models.