Two-Dimensional Extension of the Reservoir Technique for Some Linear Advection Systems

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 direc-tions 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. KEY WORDS: Multidimensional convection; finite volume schemes; reservoirs; numerical diffusion