On computer simulation of fluid-porous structure interaction problems for a class of filtration problems

Fluid-Porous Structure Interaction, FPSI, problem is first formulated and discussed in 3D in connection with modeling of flow processes in pleated filters. Solving the 3D problem is computationally expensive, therefore for a subclass of problems reduced model is considered, namely, the 3D poroelasticity problem is approximated by a poroelastic shell. Because resolving the geometry of a pleat is very important for obtaining accurate solution, interface fitted general quadrilateral grid is introduced. It is difficult to generate good quality grid in such complicated domains, therefore a discretization approach, which is robust on rough grids is selected, namely, multipoint flux approximation method. The coupled FPSI problem is solved with sequential approach, what allows to reuse an existing flow solver. Results from numerical simulations are presented and discussed.