Top-level heading

Blended numerical schemes for the advection equation

Categoria
Seminari di Modellistica Differenziale Numerica
Data e ora inizio evento
Data e ora fine evento
Aula
Sala di Consiglio
Sede

Dipartimento di Matematica Guido Castelnuovo, Università Sapienza Roma

Speaker

Emiliano Cristiani, IAC-CNR, Roma

In this talk we discuss 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.