‘Les fleurs du mal’ – an adaptive wavelet method of arbitrary lines I: convection–diffusion problems« Les fleurs du MAL » – une méthode d'ondelettes adaptive de lignes arbitraires I : problèmes de convection–diffusion |
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| Authors: | Xiaoan Ren Leonidas S Xanthis |
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| Institution: | Centre for Techno-Mathematics & Scientific Computing Laboratory, University of Westminster, HSCS, London HA1 3TP, UK |
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| Abstract: | Baudelaire's ‘les fleurs du mal’ refers to various new developments (‘les fleurs’) of the method ofarbitrarylines (mal), since it was first published (in C. R. Acad. Sci. Paris, Sér. I, in 1991). Here we revisit the basic mal (semi-discretization) methodology for stationary convection–diffusion problems and develop an adaptive, wavelet-based solver that is capable of capturing the thin layers that arise in such problems. We show the efficacy and high accuracy of the wavelet-mal solver by applying it to a challenging 2D problem involving both boundary and interior layers. To cite this article: X. Ren, L.S. Xanthis, C. R. Mecanique 332 (2004). |
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| Keywords: | Computational fluid mechanics Singularly perturbed problems Dimensional reduction Semi-discretization Adaptive wavelet solver Boundary and interior layers Mécanique des fluides numérique Problèmes singulièrement perturbés Réduction dimensionelle Semi-discrétisation Programme de résolution adaptatif par ondelettes Couches frontières et intérieurs |
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