Publications

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C. B. Picoloto, A. Tres, DCRD, Barichello LB.  2015.  Closed-form solutions for nodal formulations of two dimensional transport problems in heterogeneous media. Annals of Nuclear Energy. 86:65–71. Abstract

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C. Kamphorst, RP, Barichello LB.  2014.  A Closed-Form Solution of a Kinetic Integral Equation for Rarefied Gas Flow in a Cylindrical Duct. Applied Mathematics. 05:1516–1527. Abstract

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C. S. Scherer, PFJF, Barichello LB.  2009.  An Analytical Approach to the Unified Solution of Kinetic Equations in Rarefied Gas Dynamics. I. Flow Problems. Zeitschrift für Angewandte Mathematik und Physik. 60:70–115. Abstract

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C. S. Scherer, PFJF, Barichello LB.  2010.  An Analytical Approach to the Unified Solution of Kinetic Equations in Rarefied Gas Dynamics. II. Heat Transfer Problems. Zeitschrift für Angewandte Mathematik und Physik. 61:95–117. Abstract

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C.B. Picoloto, R. D. Da Cunha, BRC, Barichello LB.  2017.  An analytical approach for solving a nodal formulation of two-dimensional fixed-source neutron transport problems with linearly anisotropic scattering. Progress in Nuclear Energy. 98:193–201. Abstract

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Cabrera, LC, Barichello LB.  2006.  Unified Solutions to Some Classical Problems in Rarefied Gas Dynamics Based on the One-Dimensional Linearized S-model Equations. Zeitschrift für Angewandte Mathematik und Physik. 57:285–312. Abstract

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Camargo, M, Barichello LB.  2004.  Unified Approach for Variable Collision Frequency Models in Rarefied Gas Dynamics. Transport Theory and Sthatistical Physics. 33:227–260. Abstract

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Cromianski, SR, Rui K, Barichello LB.  2019.  A study on boundary fluxes approximation in explicit nodal formulations for the solution of the two-dimensional neutron transport equation. Progress in Nuclear Energy. 110:354–363. Abstract

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da Cunha, RD, Tres A, Barichello LB.  2015.  A Study on the Parallel, Iterative Solution of Systems of Linear Equations Appearing on Analytical Nodal Schemes for Two-Dimensional Cartesian Geometry Discrete Ordinates Problems, April 19-23. International Conference on Mathematics and Computation (M&C), Supercomputing in Nuclear Applications (SNA) and the Monte Carlo (MC) Method, Nashville, Tennessee. Abstract

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da Cunha, RD, Barichello LB, Neto AJ, Zanette R.  2022.  On Computing the Effective Multiplication Factor Using the ADO Method. Annals of Nuclear Energy. 167:108743.
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Groff, F, Barichello LB, Sauter E.  2021.  A Concise and Accurate Solution for Radiative Transfer Problems Relevant in Hyperthermia Models. International Symposium on Advances in Computational Heat Transfer. :445-460., Rio de Janeiro, RJ, Brasil
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J. R. Zabadal, VMT, Barichello LB.  1997.  An Analytical Solution for the Two-Dimensional Discrete Ordinates Problem in a Convex Domain. Progress in Nuclear Energy. 31:225–228. Abstract

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J. R. Zabadal, VMT, Barichello LB.  1995.  Solution of the Three- Dimensional One- Group Discrete Ordinates Problems by the LTSN Method. Annals of Nuclear Energy. 22:131–134. Abstract

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Knackfuss, RF, Barichello LB.  2006.  Surface Effects in Rarefied Gas Dynamics:an Analysis Based on the^M Cercignani-Lampis Boundary Condition. European Journal of Mechanics B/Fluids. 25:113–129. Abstract

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Knackfuss, RF, Barichello LB.  2006.  An Analytical Approach to the Unified Solution of Kinetic Equations in Rarefied Gas Dynamics. I. Flow Problems. SIAM J. Applied Mathematics. 66:2149–2186. Abstract

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L. B. Barichello, RP, Siewert CE.  2002.  An Integral Equation Basic to the BGK Model for Flow in a Cylindrical Tube. Zeitschrift für Angewandte Mathematik und Physik. 53:769–781. Abstract

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L. B. Barichello, GRDM, Siewert CE.  1997.  On Inverse Boundary.Condition Problems in Radiative Transfer. Journal of Quantitative Spectroscopy and Radiative Transfer. 57:405–410. Abstract

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L. B. Barichello, PCB, Cunha DRD.  2017.  The ADO-Nodal Method for Solving Two-Dimensional Discrete Ordinates Transport Problems. Annals of Nuclear Energy. 108:376–385. Abstract

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L. B. Barichello, RP, Siewert CE.  2002.  A Discrete-Ordinates Solution for Dual-Mode Heat Transfer in a Cylinder. Journal of Quantitative Spectroscopy and Radiative Transfer. 73:583–602. Abstract

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L. B. Barichello, M. T. Vilhena, ZSJRCF, Cardona AV.  1998.  General Solution of One-Dimensional Approximations to the Transport Equation. Progress in Nuclear Energy. 33:99–115. Abstract

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L. B. Barichello, PCB, Azmy YY.  2016.  Recent Studies on the Asymptotic Convergence of the Spatial Discretization for Two-Dimensional Discrete Ordinates Solutions. Journal of Computational and Theoretical Transport. 45:299–313. Abstract

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L. B. Barichello, GRDM, Siewert CE.  2000.  Particular Solutions for the Discrete-Ordinates Method. Journal of Quantitative Spectroscopy and Radiative Transfer. 64:219–226. Abstract

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L. B. Barichello, CLC, Filho PJF.  2011.  An Analytical Approach for a Nodal Scheme of Two-Dimensional Neutron Transport Problems. Annals of Nuclear Energy. 38:1310–1370. Abstract

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L. B. Barichello, RP, Siewert CE.  2001.  Unified Solutions to Classical Flow Problems Based on the BGK Model. Zeitschrift für Angewandte Mathematik und Physik. 52:517–534. Abstract

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L. B. Barichello, GRDM, Siewert CE.  1996.  The Fourier Decomposition for a Radiative-Transfer Problem with an Asymmetrically Reflecting Ground. Journal of Quantitative Spectroscopy and Radiative Transfer. 56:363–371. Abstract

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