Seminar Details:

LANS Informal Seminar
"Boundary integral methods for Stokes flow: Quadrature techniques and fast Ewald methods"

DATE: May 21, 2014

TIME: 15:00:00 - 16:00:00
SPEAKER: Oana Marin, Postdoctoral Appointee, MCS Division, Argonne National Laboratory
LOCATION: Building 240 Room 4301, Argonne National Laboratory

Description:
Recasting a partial differential equation (PDE) as a boundary integral (BI) is straightforward mathematically. The advantage of solving a given mathematical model in its boundary integral form rather than as a PDE is transparent when we seek solutions in a Lagrangian frame of reference.

However the computational cost and the numerical difficulties brought about by the singularity of the integral equations and and also the non-sparsity/ill-conditioning of the underlying algebraic system imposes great restrictions to large scale simulations. Another difficulty is imposing periodic boundary conditions, which, unlike for PDEs, incurs high computational costs for simulations via boundary integral methods.

In the present talk an overview of boundary integral methods for flow problems is given. A method of handling singular integrals to high-order is discussed and analysed. Large scale simulations of immersed bodies are presented and a method of handling the periodic boundary conditions in such case is developed.


 

Please send questions or suggestions to Debojyoti Ghosh: ghosh at mcs dot anl dot gov.