Mass conservative reduced order modeling of a free boundary osmotic cell swelling problem

• DOI: 10.1007/s10444-019-09691-z
• Publication Date: 2019-05-23T05:51:31Z
• Authors: Christoph Lehrenfeld; Stephan Rave
• Keywords: FOS: Mathematics; Mathematics - Numerical Analysis; Numerical Analysis (math.NA); 0101 mathematics; 01 natural sciences

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.