LILIANE BASSO BARICHELLO
Instituto de Matemática e Estatística
Universidade Federal do Rio Grande do Sul
(email)
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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
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Annals of Nuclear Energy. 86:65–71.
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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
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Applied Mathematics. 05:1516–1527.
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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
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Zeitschrift für Angewandte Mathematik und Physik. 60:70–115.
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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
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Zeitschrift für Angewandte Mathematik und Physik. 61:95–117.
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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
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Progress in Nuclear Energy. 98:193–201.
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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
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Zeitschrift für Angewandte Mathematik und Physik. 57:285–312.
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Camargo, M, Barichello LB.
2004.
Unified Approach for Variable Collision Frequency Models in Rarefied Gas Dynamics
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Transport Theory and Sthatistical Physics. 33:227–260.
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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
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Progress in Nuclear Energy. 110:354–363.
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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.
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da Cunha, RD, Barichello LB, Neto AJ, Zanette R.
2022.
On Computing the Effective Multiplication Factor Using the ADO Method
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Annals of Nuclear Energy. 167:108743.
G
Groff, F, Barichello LB, Sauter E.
2021.
A Concise and Accurate Solution for Radiative Transfer Problems Relevant in Hyperthermia Models
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International Symposium on Advances in Computational Heat Transfer. :445-460., Rio de Janeiro, RJ, Brasil
J
J. R. Zabadal, VMT, Barichello LB.
1997.
An Analytical Solution for the Two-Dimensional Discrete Ordinates Problem in a Convex Domain
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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
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Annals of Nuclear Energy. 22:131–134.
Abstract
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K
Knackfuss, RF, Barichello LB.
2006.
Surface Effects in Rarefied Gas Dynamics:an Analysis Based on the^M Cercignani-Lampis Boundary Condition
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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
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SIAM J. Applied Mathematics. 66:2149–2186.
Abstract
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L
L. B. Barichello, RP, Siewert CE.
2002.
An Integral Equation Basic to the BGK Model for Flow in a Cylindrical Tube
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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
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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
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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
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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
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Progress in Nuclear Energy. 33:99–115.
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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
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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
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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
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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
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Zeitschrift für Angewandte Mathematik und Physik. 52:517–534.
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L. B. Barichello, GRDM, Siewert CE.
1996.
The Fourier Decomposition for a Radiative-Transfer Problem with an Asymmetrically Reflecting Ground
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Journal of Quantitative Spectroscopy and Radiative Transfer. 56:363–371.
Abstract
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Recent Publications
On the solution of systems of linear equations associated to the ADO method in particle transport problems
On Computing the Effective Multiplication Factor Using the ADO Method
On the Application of the Analytical Discrete Ordinates Method to the Solution of Nonclassical Transport Problems in Slab Geometry
A study on the solution of the spatial kinetics equations in the neutron diffusion theory
On the application of the ADO method to the solution of two-dimensional radiative transfer problems in anisotropic scattering media.
A Nodal-iterative Technique for Criticality Calculations in Multigroup Neutron Diffusion Models.
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