Numerical simulations of Stokes flow in 3D using the MFS
31/01/2019 Thursday 31st January 2019, 15:00 (Room P3.10, Mathematics Building)
Rodrigo G. Serrão, Instituto Superior Técnico
In this work we present the method of fundamental solutions (MFS) in several contexts. We start with a more intuitive example and then we extend it to vectorial PDE's. We present the density results that justify our approach and then we use the MFS to solve the Stokes system in 2D and 3D. We deal with non-trivial domains and with different types of boundary conditions, namely the mixed Dirichlet-Neumann conditions. We will present several simulations that show the strengths of the method and some of the numerical difficulties found.
(Joint work with C. J. S. Alves and A. L. Silvestre)