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Article
Open AccessThe Complexity of Porous Media Flow Characterized in a Microfluidic Model Based on Confocal Laser Scanning Microscopy and Micro-PIV
In this study, the complexity of a steady-state flow through porous media is revealed using confocal laser scanning microscopy (CLSM). Micro-particle image velocimetry (micro-PIV) is applied to construct movie...
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Article
Open AccessA Hybrid-Dimensional Coupled Pore-Network/Free-Flow Model Including Pore-Scale Slip and Its Application to a Micromodel Experiment
Modeling coupled systems of free flow adjacent to a porous medium by means of fully resolved Navier–Stokes equations is limited by the immense computational cost and is thus only feasible for relatively small ...
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Article
Monotone nonlinear finite-volume method for challenging grids
This article presents a new positivity-preserving finite-volume scheme with a nonlinear two-point flux approximation, which uses optimization techniques for the face stencil calculation. The gradient is recons...
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Article
Stable Propagation of Saturation Overshoots for Two-Phase Flow in Porous Media
Propagation of saturation overshoots for two-phase flow of immiscible and incompressible fluids in porous media is analyzed using different computational methods. In particular, it is investigated under which ...
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Article
Heterogeneity Effects on Evaporation-Induced Halite and Gypsum Co-precipitation in Porous Media
Understanding evaporation from porous media in the presence of soluble salts plays a key role in describing many environmental processes. Several studies done in this field led to a wide acceptance that the pr...
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Article
Open AccessKinetic Approach to Model Reactive Transport and Mixed Salt Precipitation in a Coupled Free-Flow–Porous-Media System
Evaporative salinization of the agricultural soil is a chronic problem in arid, semiarid and coastal regions worldwide. As a shallow subsurface issue, it is strongly influenced by the free-flow (henceforth, FF...
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Article
Free-Flow–Porous-Media Coupling for Evaporation-Driven Transport and Precipitation of Salt in Soil
Evaporative salinization of soil is a common issue observed in arid and coastal regions. This process is driven by mass, momentum and energy exchange between the porous medium and the free-flow region. To anal...
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Chapter
A Multi-scale Model for Mass Transport in Arteries and Tissue
In this paper, we are concerned with the simulation of blood flow and mass transport in vascularized human tissue. Our mathematical model is based on a domain decomposition approach, i.e., we separate the bloo...
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Article
Open AccessModeling Macroporous Soils with a Two-Phase Dual-Permeability Model
Fast water infiltration during heavy rainfall events is an important issue for hillslope hydrology and slope stability. Most hillslopes are strongly heterogeneous and contain macropores and soil pipes, so that...
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Article
Variational inequalities for modeling flow in heterogeneous porous media with entry pressure
One of the driving forces in porous media flow is the capillary pressure. In standard models, it is given depending on the saturation. However, recent experiments have shown disagreement between measurements a...
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Chapter and Conference Paper
Effective Two-Phase Flow Models Including Trap** Effects at the Micro Scale
We consider a two-phase flow model in a heterogeneous porous column. The medium consists of many homogeneous layers that are perpendicular to the flow direction and have a periodic structure resulting in a one...
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Chapter and Conference Paper
Multiphase Flow and Transport Modeling in Heterogeneous Porous Media
We focus on the inter-related roles of scale and heterogeneity of porous medium properties for fluid flow and contaminant transport in isothermal and non-isothermal multiphase systems across a range of scales....
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Chapter
Analysis of the Influence of Boundaries
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Article
Forward and Inverse Problems in Modeling of Multiphase Flow and Transport Through Porous Media
The paper deals with numerical simulation techniques for forward and inverse modelling in multiphase (multicomponent) flow through porous media. The forward simulation software system MUFTE-UG uses recent disc...
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Chapter and Conference Paper
Parallel Two-Phase Flow Simulations in Porous Media
MUFTE-UG, a parallel numerical simulator for multiphase flow and transport processes in porous media, is introduced. The basic PDEs for two-phase flow together with a discretization and solution scheme are pre...
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Chapter
Numerical Modelling of Transport Processes in the Subsurface
In this paper an overview is given about numerical modelling of transport processes in the subsurface. Numerical models enable a better process understanding, can determine local or global budgets and are able...
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Chapter and Conference Paper
Development of a Parallel FVM Based Groundwater Flow Model
Although parallel computing is gaining in importance in environmental engineering, there has been a lack of graduate education in this field. There are not enough models using parallel algorithms, which are si...
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Chapter and Conference Paper
Two-phase Flow Modelling of Flood Defense Structures
In this paper a two-phase flow model concept for the flow processes in flood defense structures is presented. The governing equations as well as the discretization and solver techniques, which are included in ...
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Chapter and Conference Paper
Numerical Simulation of Freshwater, Salt Water and Methane Interaction Processes in a Coastal Aquifer
A two-phase (water, gas)/three-component (water, salt, methane) model concept for flow and transport processes in a porous medium was developed. It accounts for density-driven flow as well as for mass transfer...
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Chapter and Conference Paper
Modeling of Flow and Transport Processes in the Subsurface
During the last years, the development of numerical methods and modeling techniques for the simulation of flow and transport processes in subsurface hydrosystems has emerged to a powerfull tool in the predicti...
