Abstract:
The talk will be split in two parts. In the firrst part a new direction-splitting-based fractional time stepping for solving the incompressible Navier-Stokes equations will be discussed. The main originality of the method is that the pressure correction is computed by solving a sequence of one one-dimensional elliptic problem in each spatial direction. The method is very simple to program in parallel, very fast, and has exactly the same stability and convergence properties as the Poisson-based pressure-correction technique, either in standard or rotational form.
If time permits, in the second part, large scale computations of particulate flows with the fictitious domain method will be demonstrated. At this stage they do not employ the technique described above but the possibilities for extending it to such flows will be discussed.
This seminar is easily accessible to persons with disabilities. For more information or for assistance, please contact the Mathematics Department at 743-3500.