Advances in DUNE
Proceedings of the DUNE User Meeting, Held in October 6th–8th 2010 in Stuttgart, Germany
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Chapter and Conference Paper
Nonconforming Discretization Techniques for Overlap** Domain Decompositions
For the numerical solution of coupled problems on two nested domains, two meshes are used which are completely independent to each other. Especially in the case of a moving subdomain, this leads to a great fle...
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Chapter
Nonconforming Discretization Techniques for Coupled Problems
Multifield problems yield coupled problem formulations for which nonconforming discretizations schemes and problem-adapted solvers can be used to develop efficient numerical algorithms. Of crucial importance a...
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Chapter and Conference Paper
Nonconforming Methods for Nonlinear Elasticity Problems
Domain decomposition methods are studied for several problems exhibiting nonlinearities in terms of curved interfaces and/or underlying model equations. In order to retain as much flexibility as possible, we d...
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Article
A benchmark study on problems related to CO2 storage in geologic formations
This paper summarises the results of a benchmark study that compares a number of mathematical and numerical models applied to specific problems in the context of carbon dioxide (CO2) storage in geologic formation...
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Reference Work Entry In depth
EfficientModeling of Flow and Transport in Porous Media Using Multiphysics andMultiscale Approaches
Flow and transport processes in porous media including multiple fluid phases are the governing processes in a large variety of geological and technical systems. In general, these systems include processes of d...
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Book and Conference Proceedings
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Living Reference Work Entry In depth
Efficient Modeling of Flow and Transport in Porous Media Using Multi-physics and Multi-scale Approaches
Flow and transport processes in porous media including multiple fluid phases are the governing processes in a large variety of geological and technical systems. In general, these systems include processes of d...
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Article
Efficient multiphysics modelling with adaptive grid refinement using a MPFA method
A sequential solution procedure is used to simulate compositional two-phase flow in porous media. We employ a multiphysics concept that adapts the numerical complexity locally according to the underlying proce...
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Reference Work Entry In depth
Efficient Modeling of Flow and Transport in Porous Media Using Multi-physics and Multi-scale Approaches
Flow and transport processes in porous media including multiple fluid phases are the governing processes in a large variety of geological and technical systems. In general, these systems include processes of d...
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Article
Dimensionally reduced flow models in fractured porous media: crossings and boundaries
For the simulation of fractured porous media, a common approach is the use of co-dimension one models for the fracture description. In order to simulate correctly the behavior at fracture crossings, standard m...
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Chapter
A Review of the XFEM-Based Approximation of Flow in Fractured Porous Media
This paper presents a review of the available mathematical models and corresponding non-conforming numerical approximations which describe single-phase fluid flow in a fractured porous medium. One focus is on ...
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Article
Editorial
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Chapter and Conference Paper
Nonlinear Finite-Volume Scheme for Complex Flow Processes on Corner-Point Grids
The simulation subsurface requires and robust methods due to the large scales and the complex geometries involved. In this article, a nonlinear finite-volume scheme is presented and applied to non-isot...
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Chapter and Conference Paper
On the Conditions for Coupling Free Flow and Porous-Medium Flow in a Finite Volume Framework
This article model for the of one-phase non-isothermal Navier-Stokes flow to two-phase compositional non-isothermal Darcy flow in a finite volume framework. The focus of the presented coupling conditio...
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Article
A hybrid-dimensional discrete fracture model for non-isothermal two-phase flow in fractured porous media
We present a hybrid-dimensional numerical model for non-isothermal two-phase flow in fractured porous media, in which the fractures are modeled as entities of codimension one embedded in a bulk domain. Potenti...
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Article
Development of Open-Source Porous Media Simulators: Principles and Experiences
By its very nature, research into multi-physical processes occurring in porous and fractured media requires a collaborative approach. An interdisciplinary approach has led to the adoption of collaborative soft...
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Chapter and Conference Paper
Partitioned Coupling Schemes for Free-Flow and Porous-Media Applications with Sharp Interfaces
investigate a partitioned coupling scheme applied to a system of free flow over a porous medium. The coupling scheme follows a partitioned approach which means that the flow fields in the two domains ...
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Chapter
Conclusions and Outlook
In this book, we have focused on the theory and practice of subsurface environmental modelling at the science-policy interface from an interdisciplinary perspective.
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Chapter
Introduction
Groundwater, resources, hidden secrets from the past... The subsurface contains all this and has consequently attracted the attention of engineers, geologists and many others. Groundwater has always served as ...
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Chapter
Overview of Mathematical and Numerical Solution Methods
This chapter provides a brief overview of the mathematical and numerical methods which are employed for solving the systems of equations that arise from the kind of subsurface environmental problems discussed ...
