Numerical Simulation of Multiple Spheres Falling in Fully Periodic
The goal of this NSF supported research is to simulate
numerous spheres sedimenting in fully periodic 3D domains. These
simulations will be an extension of the large-scale
simulations of fluid-particle interactions with the additions
needed to model the periodic domain. These direct numerical
simulations will be used in the development of continuum models
of fluid-particle mixtures by A. Prosperetti at Johns Hopkins University.
The additional capabilities that need to be added to our numerical methods for
the simulation in periodic domains are:
This work is pretty much finished with and only minor
final touches need to be added.
The difficult part of generating the "periodicity" within the
mesh is finished with, and the meshes that it generates are truly
periodic in the most basic sense. Descriptions of how this
is accomplished will be forthcoming. For now, here is a
of a small periodic mesh with a couple of spheres.
Modification of our stabilized space-time finite element formulation
to handle periodic domains (and the periodic mesh).
I am just beginning this process, but it shouldn't take long.
Also, I want to do these simulations on the T3D so I will have to
get this up-and-running on that computer, but again, that is not
going to be difficult.
- Modification of my automatic mesh generator to generate meshes representing
truly periodic domains in all three directions.
As this project progresses, more information will be added to this
Last updated 8-27-96