Oregon State University
Location
Online
Applied Mathematics Colloquium: Dr Malgo Peszynska – Online Event
Date & Time
November 13, 2020, 2:00 pm – 3:00 pm
Description
Title: Modeling biofilm and flow dynamics in multiscale porous media
Abstract: We consider a coupled PDE system for viscous flow coupled to biofilm and
nutrient dynamics in porous media, at the scale of microns to mm. The
challenges include the biofilm formation process itself which features a
free boundary surrounding the gooey highly viscous region called EPS
produced by the biomass. Our model involves a parabolic variational
inequality to enforce the volume constraint, which we recently extended to
multiple microbial species cooperating or competing for the same
resources. We also consider an alternative: a degenerate and singular
nonlinear diffusion model, and we seek adaptively the strength of the
singularity so that the volume constraint is automatically satisfied. Our
results include a rigorous convergence result for a finite element model
for a reduced version of this problem as well as large scale computations
using data from micro-CT x-imaging followed by numerical upscaling to
Darcy scale. This is joint work with many former and current students and
collaborators to be named including Anna Trykozko, Dorthe Wildenschild,
Tim Costa, Joseph Umhoefer, Azhar Alhammali, Lisa Bigler, Choah Shin, and
Naren Vohra.
Abstract: We consider a coupled PDE system for viscous flow coupled to biofilm and
nutrient dynamics in porous media, at the scale of microns to mm. The
challenges include the biofilm formation process itself which features a
free boundary surrounding the gooey highly viscous region called EPS
produced by the biomass. Our model involves a parabolic variational
inequality to enforce the volume constraint, which we recently extended to
multiple microbial species cooperating or competing for the same
resources. We also consider an alternative: a degenerate and singular
nonlinear diffusion model, and we seek adaptively the strength of the
singularity so that the volume constraint is automatically satisfied. Our
results include a rigorous convergence result for a finite element model
for a reduced version of this problem as well as large scale computations
using data from micro-CT x-imaging followed by numerical upscaling to
Darcy scale. This is joint work with many former and current students and
collaborators to be named including Anna Trykozko, Dorthe Wildenschild,
Tim Costa, Joseph Umhoefer, Azhar Alhammali, Lisa Bigler, Choah Shin, and
Naren Vohra.
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