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2023
Ladeia, CA, Schramm M, Fernandes JCL, Zanetti HR, Albuquerque AD.  2023.  The Influence of the Refractive Index and Absorption Coefficients in the Solution of the Radiative Conductive Transfer Equation in Cartesian Geometry. Integral Methods in Science and Engineering. (Constanda, Christian, Bardo E. J. Bodmann, Harris, Paul J., Eds.).:179–189., Cham: Springer International Publishing Abstract

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2022
Ladeia, CA, Zanetti HR, Gisch DL, Schramm M, Fernandes JCL.  2022.  A Simple Numerical Scheme to Obtain Reflectivity and Transmissivity of an Isotropically Scattering Slab. Integral Methods in Science and Engineering. (Constanda, Christian, Bardo E. J. Bodmann, Harris, Paul J., Eds.).:169–178., Cham: Springer International Publishing Abstract

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In this chapter, we consider the linear radiative transfer model for a passive medium with no intrinsic thermal contributions. The domain is a one-dimensional slab for which reflectivity and transmissivity are determined from the total in- and outgoing radiative fluxes across the boundaries. Further, we assume isotropic scattering in the medium and no emissivity and reflectivity on the boundaries but thermal radiation from the latter and an isotropic incoming radiation from an external source. Our developments are based on the discrete ordinate method in the angular variable and a modified version of the finite volume method in the spatial variable. The solution is obtained by an iterative method, and we present a necessary condition for its convergence based on norm operations.

2020
Ladeia, CA, Bodmann BEJ, Vilhena MT.  2020.  Radiative–conductive transfer equation in spherical geometry: arithmetic stability for decomposition using the condition number criterion. Journal of Engineering Mathematics. 123:149-163. Abstract

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Ladeia, CA, Schramm M, Fernandes JCL.  2020.  A simple numerical scheme to linear radiative transfer in hollow and solid spheres. SEMINA. CIÊNCIAS EXATAS E TECNOLÓGICAS. Abstract

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2019
Ladeia, CA, Bodmann BEJ, Vilhena MT.  2019.  On the Integro-Differential Radiative Conductive Transfer Equation: A Modified Decomposition Method. Integral Methods in Science and Engineering. Abstract

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2018
Ladeia, CA, Bodmann BEJ, Vilhena MT.  2018.  The Radiative Conductive Transfer Equation in Cylinder Geometry: Rocket Launch Exhaust Phenomena for the Alcântara Launch Center. American Journal of Environmental Engineering. 8:118-127. Abstract

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Ladeia, CA, Bodmann BEJ, Vilhena MT.  2018.  The radiative conductive transfer equation in cylinder geometry: Semi-analytical solution and a point analysis of convergence. Journal of Quantitative Spectroscopy and Radiative Transfer. 217:338–352. Abstract

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2017
Ladeia, CA, Fernandes JCL, Bodmann BEJ, Vilhena MT.  2017.  On the Radiative Conductive Transfer Equation: A Heuristic Convergence Criterion by Stability Analysis. Integral Methods in Science and Engineering. 1 Abstract

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