Numerical Analysis Seminar

Date: September 9, 2015

Time: 3:00PM - 4:00PM

Location: BLOC 628

Speaker: Pascal Azerad, Institut de Modélisation Mathématique de Montpellier

Title: Discretization of a conservation law with fractional anti-diffusion for dune morphodynamics

Abstract: We investigate finite differences discretizations of a nonlinear nonlocal equation recently introduced by A. C. Fowler to study the morphodynamics of river dunes. Due to the fractional anti-diffusive term, numerical stability must depend on the frequency range of the perturbation. We give sufficient stability criteria of fractional CFL type and show evidence of numerical convergence.