Publications

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2001
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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2002
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, 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, A. C. R. Bartz, CM, Siewert CE.  2002.  The Temperature-Jump Problem for a Variable Collision Frequency Model. Physics of Fluids. 14:382–391. Abstract

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2004
Rodrigues, P, Barichello LB.  2004.  An Integral Equation Approach to Radiative Transfer in Cylindrical Media. Journal of Quantitative Spectroscopy and Radiative Transfer. 83:765–776. Abstract

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L. B. Barichello, RP, Siewert CE.  2004.  On Computing the Chapman-Enskog and Burnett Functions. Journal of Quantitative Spectroscopy and Radiative Transfer. 86:109–114. 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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2006
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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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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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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2009
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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Scherer, CS, Prolo Filho JF, Barichello LB.  2009.  An analytical approach to the unified solution of kinetic equations in rarefied gas dynamics.I. Flow problems. Zeitschrift f. 60:70–115., Number 1 Abstract

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Scherer, CS, Barichello LB.  2009.  A Heat Transfer Problem in Rarefied Gas Dynamics. Heat Transfer Engineering. 30:282–291. Abstract

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P. Rodrigues, KCH, Barichello LB.  2009.  A Spectral Method for Rarefied Gas Dynamics Problems in Cylindrical Geometry. International Journal of Pure and Applied Mathematics. 51:181–187. Abstract

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2010
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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Scherer, CS, Barichello LB.  2010.  An analytical approach to the unified solution of kinetic equations in rarefied gas dynamics. III. Evaporation and condensation problems. Zeitschrift für Angewandte Mathematik und Physik. 61:95–117. Abstract

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2011
Barichello, LB.  2011.  15, Explicit Formulations for Radiative Transfer Problems. Thermal Measurements and Inverse Techniques. (Orlande, R.B.H., Fudym, O., Maillet, D., Cotta, R.M., Eds.).:541–562., Boca Raton (FL): CRC Press Abstract

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Barichello, LB, Cabrera LC, Prolo Filho JF.  2011.  An Analytical Approach for a Nodal Scheme of Two-Dimensional Neutron Transport Problems. Annals of Nuclear Energy. 38:1310–1317., Number 6 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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Barichello, LB, Siewert CE.  2011.  Some Evaluations of Basic Nodal-Like Schemes for a Solution of Classical Problems in Particle Transport Theory. Annals of Nuclear Energy. 38:2101–2104. Abstract

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Barichello, LB.  2011.  Explicit Formulations for Radiative Transfer Problems. In:Thermal Measurements and Inverse Techniques. CRS Press (2011). Edited By: H. R. B. Orlande, O. Fudym, D. Maillet, R. M. Cotta Abstract

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2014
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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A. Tres, C. B. Picoloto, DCRD, Barichello LB.  2014.  Explicit formulation of a nodal transport method for discrete ordinates calculations in two-dimensional fixed-source problems. Kerntechnik (1987). 79:155–162. Abstract

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Prolo Filho, JF, Barichello LB.  2014.  General expressions for auxiliary equations of a nodal formulation for two-dimensional transport calculations. Journal of Computational and Theoretical Transport. 43:352–373., Number 1-7: Taylor & Francis Abstract

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2015