BLENDED NUMERICAL SCHEMES FOR THE ADVECTION EQUATION - Emiliano Cristiani (IAC- CNR)
2015-05-14
Ore 10.30, Aula Seminari II piano, Via dei Taurini, 19 00185 Roma.
If there is more than one numerical scheme for a certain equation, why one should only compare them when in fact one can blend them? In this talk we propose a method to couple two or more explicit numerical schemes approximating the same equation, in order to create new schemes which inherit advantages and drawbacks of the original ones. In the lucky cases, the combination allows to increase the accuracy of all the original schemes but the price to pay is a larger computational time.
For illustrative purposes, we focus on the coupling of two schemes only. We couple both two macroscopic (Eulerian) schemes and a microscopic (Lagrangian) with a macroscopic one. In the latter case we get a new kind of multiscale numerical method. As a test problem, we consider the advection equation.
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