Two-Dimensional Extension of the Reservoir Technique for Some Linear Advection Systems |
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| Authors: | François Alouges Gérard Le Coq Emmanuel Lorin |
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| Affiliation: | (1) Département de Mathématiques, Université d’Orsay, Orsay, 91405, France;(2) Centre de Mathématiques et de Leurs Applications, Ecole Normale Supérieure de Cachan, Cachan, 94235, France;(3) Département de Mathématiques, Université d’Orsay, Orsay, 91405, France;(4) Centre de Recherche en Mathématiques, Université de Montréal, Pavillon Andre-Aisenstadt, 2920 Chemin de la tour, Montreal, Que, Canada, H3T 1J4 |
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| Abstract: | In this paper we present an extension of the reservoir technique (see, Alouges et al., Submitted; Alouges et al.(2002a),
In: Finite volumes for complex applications, III, pp. 247–254, Marseille; Alouges et al.(2002b), C. R. Math. Acad. Sci. Paris, 335(7), 627–632.]) for two-dimensional advection equations with non-constant velocities. The purpose of this work is to make
decrease the numerical diffusion of finite volume schemes, correcting the numerical directions of propagation, using a so-called
corrector vector combined with the reservoirs. We then introduce an object called velocities rose in order to minimize the algorithmic complexity of this method. |
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| Keywords: | Multidimensional convection finite volume schemes reservoirs numerical diffusion |
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