Authors: R.R. Ohs, S.K. De and N.R. Aluru
Affilation: University of Illinois at Urbana-Champaign, United States
Pages: 7 - 10
Keywords: hydrogels, simulation, swelling, experiments, meshless method
In this paper, we present the meshless Finite Cloud Method (FCM) for the solution of a time-dependent partial differential equation governing ionic gel swelling. Using a point distribution, FCM constructs interpolation functions without assuming any connectivity between points. A collocation approach forces the unknowns at every point to satisfy the governing equation or boundary condition. To validate the model, a cylindrical hydrogel was fabricated and subjected to step changes in solution pH to characterize the hydrogel's dynamic behavior. The hydrogel's equilibrium behavior was matched using a thermodynamic model. Numerical results show good agreement with experimental data.