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http://hdl.handle.net/2183/35479 Numerical Approximation of Convection-Diffusion Problems Through the PSI Method and Characteristics Method
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Benítez García, M., Chacón Rebollo, T., Gómez Mármol, M., Narbona-Reina, G. (2011). Numerical Approximation of Convection-Diffusion Problems Through the PSI Method and Characteristics Method. In: C. Clavero, J. Gracia, F. Lisbona (eds.) BAIL 2010 - Boundary and Interior Layers, Computational and Asymptotic Methods. Lecture Notes in Computational Science and Engineering, vol 81. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-19665-2_3
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[Abstract]: In this work we present some numerical methods for solving evolutive convection-diffusion problems. In order to obtain a physically admissible solution we search for monotone and accurate methods that are also non-linear due to the Godunov’s theorem. We will center in Fluctuation Splitting methods, [8], in particular in PSI scheme, and characteristic type methods, where a new Lagrangian method is proposed. Finally, a numerical test is presented to assess the performance of the numerical methods described in the present work.
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available online at: https://doi.org/10.1007/978-3-642-19665-2_3
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© Springer-Verlag Berlin Heidelberg 2011