Mass Conservative Reduced Order Modeling of a Free Boundary Osmotic Cell Swelling Problem
This work provides a mass-conservative reduced order model for parameterized free boundary problems, which is important for efficient simulation in computational biology and engineering.
The authors developed a reduced order model for a free boundary osmotic cell swelling problem that preserves mass conservation exactly, achieving accurate results while reducing computational cost.
We consider model order reduction for a free boundary problem of an osmotic cell that is parameterized by material parameters as well as the initial shape of the cell. Our approach is based on an Arbitrary-Lagrangian-Eulerian description of the model that is discretized by a mass-conservative finite element scheme. Using reduced basis techniques and empirical interpolation, we construct a parameterized reduced order model in which the mass conservation property of the full-order model is exactly preserved. Numerical experiments are provided that highlight the performance of the resulting reduced order model.