This project focuses on reproducing and improving the model of multilayered membrane filters, developed by Ian Griffiths (J. Membrane Sci. 511, 108 (2016)). The model focuses on creating an innovative method of membrane filtration by carrying out stochastic simulation of the particles transport through the multilayered filter and entrapment of particles within. Here, the filters are composed of a number of membrane layers stacked on top of each other. Each membrane layer is characterized by a two dimensional array of pores with given initial radii and a taper angle which prescribes a difference in pore radii between successive layers. Figure 1, from the reference above, illustrates the membrane geometry. The participating students have developed their own simulations of the flow through a multilayered filter, and have been successful in reproducing the results from the Griffiths work. This project was continued in direct collaboration with Dr. Griffiths (Oxford University, UK) in the direction of carrying out simulations of filters characterized by random pore structure, leading to a research publication including participating Capstone students. The project was supported by NSF Grant No. DMS-1615719.Click here for more detail.