I will present in this talk a new strategy to approximate solutions of Riemann problems. The idea is to reformulate the problem as the limit of a diffusive-dispersive system, using the Dafermos viscosity approach.  Then, a change of variables let us rewrite the PDE problem as an ODE system. A 4th-order finite difference scheme is used to approximate the solution of the ODE problem. Testcases are proposed to validate the numerical method and to represent non classical solutions of Riemann problems.  This work has been studied in collaboration with Christophe Berthon, Marianne Bessemoulin-Chatard and Françoise Foucher.

Place: Hybrid: Math 402 and
Zoom https://arizona.zoom.us/j/85014462076 
Password:  “arizona” (all lower case)