Membrane Transport and Renal Physiology

A computational model of porous media at the microscale will be presented. A collection of solid particles is placed within a regular fluid domain. The particles are represented with less detail by a ‘force cloud’ centered at a given point. Internal no-slip conditions are approximately achieved. This method is easy to implement, computationally inexpensive, and may be used to represent complex porous structures. The fluid flow within this domain is governed by the incompressible Navier-Stokes equations, a system of partial differential equations that describe conservation of mass and momentum. A comparison of our computation results with some theoretical results demonstrates the validity of the method used to model the porous media. Finally, some simulations of flow through a complex porous media are presented. Organizer: Kevin Anderson NOTE: The Postdoc Seminar is organized by the IMA postdoctoral members, but all interested IMA participants are encouraged to attend. The Seminar meets in Lind Hall 409.