6 papers
Surrogate-assisted global sensitivity analysis of a hybrid-dimensional Stokes--Brinkman--Darcy model
Linheng Ruan, Ilja Kröker, Sergey Oladyshkin +1
Development of new multiscale mathematical models often entails considerable complexity and multiple undetermined parameters, typically arising from closure relations. To enable re…
Stokes-Brinkman-Darcy models for fluid-porous systems: derivation, analysis and validation
Linheng Ruan, Iryna Rybak
Flow interaction between a plain-fluid region in contact with a porous layer attracted significant attention from modelling and analysis sides due to numerous applications in biolo…
Higher-order coupling conditions for arbitrary flows in Stokes-Darcy systems
Elissa Eggenweiler, Iryna Rybak
The choice of interface conditions for coupling free-flow and porous-medium flow systems is crucial in order to obtain accurate coupled flow models and precise numerical simulation…
Optimized Schwarz method for the Stokes-Darcy problem with generalized interface conditions
Paula Strohbeck, Marco Discacciati, Iryna Rybak
Due to their wide appearance in environmental settings as well as industrial and medical applications, the Stokes-Darcy problems with different sets of interface conditions establi…
A hybrid-dimensional Stokes--Brinkman--Darcy model for arbitrary flows to the fluid--porous interface
Linheng Ruan, Iryna Rybak
Mathematical modelling of coupled flow systems containing a free-flow region in contact with a porous medium is challenging, especially for arbitrary flow directions to the fluid--…
Efficient preconditioners for coupled Stokes-Darcy problems with MAC scheme: Spectral analysis and numerical study
Paula Strohbeck, Iryna Rybak
Coupled systems of free flow and porous media arise in a variety of technical and environmental applications. For laminar flow regimes, such systems are described by the Stokes equ…