Hybrid models for simulating blood flow in microvascular networks

DuMux 3 – an open-source simulator for solving flow and transport problems in porous media with a focus on model coupling

“…The presented multi-domain concept has been successfully used to implement models with coupled flow and transport processes in vascularized brain tissue [10,51], root-soil interaction models in the vadose zone [9], flow and transport models for fractured rock systems [15,52], coupled porous medium flow and atmosphere flow (Darcy-Navier-Stokes) at the soil surface [43], and a model that couples a pore-network model with a Navier-Stokes model [53].…”

“…Its main intention is to provide a sustainable, consistent and modular framework for the implementation and application of porous media model concepts and constitutive relations. It has been successfully applied to greenhouse gas and CO 2 storage [2,3,4,5], radioactive waste disposal [6], environmental remediation problems [7], transport of therapeutic agents through biological tissue [8,9,10,11], fractured porous media [12,13,14,15], and subsurface-atmosphere coupling [16,17]. For a more complete list of publications that have been achieved with the help of DuMu x , see dumux.org/publications.…”

A Mixed Approach to the Poisson Problem with Line Sources

“…In reservoir engineering, coupled 1D-3D flow models (where (1.1a)- (1.1c) is coupled to a 1D flow equation on Λ) are used to model the flow between a well and reservoir [12,45,1]. The same model has also been considered in the context of biological systems, where it has been used to model water flow through a root system [22,24], blood and oxygen transport through the vascularized tissue of the brain [40,20,43,16,34], the efficiency of cancer treatment by hyperthermia [37], and the efficiency of drug delivery through microcirculation [11,39].…”