Physics-preserving Discretizations for the Poisson-Nernst-Planck Equations

Abstract: The Poisson-Nernst-Planck equations are a system of nonlinear differential equations that describe flow of charged particles in solution. The talk is about the design of numerical schemes to solve this system which preserves global properties exhibited by the system. The first part of the talk will be on research that has already been completed: design of a scheme that conserves mass globally when the system is coupled with no-flux boundary conditions. The second part of the talk will be on ongoing research: he design of a more general scheme that preserves the time-varying properties of the free energy of the system. The intended application is the modeling of ion channels.

Event Topic

Stochastic & Multiscale Modeling and Computation