Contributed Talk
Semi-Lagrangian IMEX vortex methods
University of Ferrara, Italy
Abstract
In this talk, we discuss the construction of a new class of semi-Lagrangian schemes with implicit-explicit (IMEX) Runge-Kutta (RK) time discretizations for the solution of the incompressible Navier-Stokes equations written in vorticity formulation. Within this formulation, the advection part is discretized explicitly at the aid of a Semi-Lagrangian technique, while an implicit discretization is employed for the diffusion term. Several numerical examples show that the theoretical order of convergence is reached by this class of methods and their capability in accurately solving standard problems arising in incompressible fluid dynamics simulations.