ANAP Seminar | Speaker: Gaspar Machado (CMAT).

Venue: Sala de Seminários Ed.6-3.08, Campus de Gualtar

Online: Link  

Abstract: The numerical solution of the incompressible Navier-Stokes equations raises challenging numerical issues on the development of accurate and robust discretisation techniques.

In this talk it is presented the ROD (Reconstruction for Off-site Data) method, which employs polygonal meshes, to tackle one of this issues - curved domains.

The Navier-Stokes equations are discretised with a staggered finite volume method, and the numerical fluxes are computed on the polygonal mesh elements.

Boundary conditions are taken into account via polynomial reconstructions with specific linear constraints defined for a set of points on the physical boundary.

A set of benchmarks will be presented to demonstrate the capability of the proposed approach to achieve very high-orders of convergence.

This is a joint work with Ricardo Costa, Stéphane Clain e Miguel Nóbrega.