Topology optimization of unsaturated flows in multi-material porous media: Application to a simple diaper model

Journal article


Publication Details

Author(s): Wein F, Chen N, Iqbal N, Stingl M, Avila M
Journal: Communications in Nonlinear Science and Numerical Simulation
Publication year: 2019
Volume: 78
ISSN: 1007-5704


Abstract

We present a mathematical approach to optimize the material distribution for fluid transport in unsaturated porous media. Our benchmark problem is a simplified diaper model as an exemplary liquid absorber. Our model has up to three materials with vastly different properties, which in the reference configuration are arranged in parallel layers. Here, swelling is neglected and the geometry of a swollen diaper is assumed and treated as a porous medium of high porosity. The imbibition process is then simulated by solving an unsaturated flow problem based on Richards’ equation. Our aim is to maximize the amount of absorbed liquid by redistributing the materials. To this end, a density based multi-material topology optimization (based on the well known SIMP model) is performed. A sensitivity analysis for the nonlinear transient problem is provided, which enables the application of first order optimization solvers. We perform two- and three-material optimization and discuss several variants of the problem setting. We present designs with up to 45% more absorbed liquid compared to the reference configuration.


FAU Authors / FAU Editors

Chen, Nan
Lehrstuhl für Strömungsmechanik
Iqbal, Naveed
Lehrstuhl für Strömungsmechanik
Stingl, Michael Prof. Dr.
Professur für Angewandte Mathematik (Kontinuierliche Optimierung)


How to cite

APA:
Wein, F., Chen, N., Iqbal, N., Stingl, M., & Avila, M. (2019). Topology optimization of unsaturated flows in multi-material porous media: Application to a simple diaper model. Communications in Nonlinear Science and Numerical Simulation, 78. https://dx.doi.org/10.1016/j.cnsns.2019.104871

MLA:
Wein, Fabian, et al. "Topology optimization of unsaturated flows in multi-material porous media: Application to a simple diaper model." Communications in Nonlinear Science and Numerical Simulation 78 (2019).

BibTeX: 

Last updated on 2019-28-06 at 13:08