Numerical Approximation of Convection-Diffusion Problems Through the PSI Method and Characteristics Method

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Numerical Approximation of Convection-Diffusion Problems Through the PSI Method and Characteristics MethodData
2011-01-01Cita bibliográfica
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
Resumo
[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.
Palabras chave
Convection-diffusion equation
Characteristics method
Fluctuation spliting schemes
Galerkin discretization
Characteristics method
Fluctuation spliting schemes
Galerkin discretization
Descrición
This version of the chapter has been accepted for publication, after peer
review and is subject to Springer Nature’s AM terms of use, but is not the
Version of Record and does not reflect post-acceptance
improvements, or any corrections. The Version of Record is
available online at: https://doi.org/10.1007/978-3-642-19665-2_3
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Dereitos
© Springer-Verlag Berlin Heidelberg 2011
ISSN
1439-7358
2197-7100 (e-ISSN)
2197-7100 (e-ISSN)