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2023
Conference Paper
Title
Efficient simulation of flow-induced deformation of woven filter media
Abstract
In more and more areas of filtration, the flow-induced deformation of filter media is a phenomenon that has to be taken into account when optimizing the design of filter elements. Computer simulations can accelerate the development and optimization, but since most state-of-the-art simulation models for the flow in filter elements assume rigid media, the computed results can differ a lot from experiments. A common problem in the modelling of woven filters is the huge ratio of length scales due to the comparatively large bulk fluid domains and the thin filter media with complex microstructure. Direct numerical simulation with the fibres resolved in the computational grid require a tremendous amount of hardware resources, if practical at all.
By design, woven filters feature a periodic structure on the microscopic scale, and it seems straightforward to use this fact for the replacement of the resolved microstructure by an effective, 2D poroelastic plate, such that the computational effort reduces drastically. In the presented work, a model-order-reduction based model for the interaction of stationary incompressible flow with deformable woven filters is derived. The novelty of the work lies within the highly efficient computation of the filter’s mechanical properties based on the description of its microstructure as well as in the inclusion of strain dependent permeability coefficients, accounting for locally increasing open surface area due to the filter’s deformation.
A complete algorithmic workflow for the efficient simulation is presented. The splitting of the solving process into two phases is proposed: In an offline phase, effective model parameters, namely permeability and effective bending-elasticity coefficients, are predetermined by simulations on the smallest periodic unit of the filter structure. The computed parameters serve as a look-up table for the online phase which solves the fluid-structure-interaction problem with the effective 2D plate model. In the online phase, fluid and structure solvers are decoupled which further simplifies the model-inclusion in existing workflows.
The algorithmic workflow is exemplified for a plain-woven filter sample and details on the generalization to arbitrary woven filters are given.
By design, woven filters feature a periodic structure on the microscopic scale, and it seems straightforward to use this fact for the replacement of the resolved microstructure by an effective, 2D poroelastic plate, such that the computational effort reduces drastically. In the presented work, a model-order-reduction based model for the interaction of stationary incompressible flow with deformable woven filters is derived. The novelty of the work lies within the highly efficient computation of the filter’s mechanical properties based on the description of its microstructure as well as in the inclusion of strain dependent permeability coefficients, accounting for locally increasing open surface area due to the filter’s deformation.
A complete algorithmic workflow for the efficient simulation is presented. The splitting of the solving process into two phases is proposed: In an offline phase, effective model parameters, namely permeability and effective bending-elasticity coefficients, are predetermined by simulations on the smallest periodic unit of the filter structure. The computed parameters serve as a look-up table for the online phase which solves the fluid-structure-interaction problem with the effective 2D plate model. In the online phase, fluid and structure solvers are decoupled which further simplifies the model-inclusion in existing workflows.
The algorithmic workflow is exemplified for a plain-woven filter sample and details on the generalization to arbitrary woven filters are given.
Author(s)