17 Result(s)
within
Chapter
Bernd Flemisch
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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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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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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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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 ...
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Chapter
The Science-Policy Interface of Subsurface Environmental Modelling
Modelling activities in science are not limited to the scientific community itself, but relate to and impact other domains of society. With this chapter, we conceptually explore matters of modelling at the sci...
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Chapter
Hydraulic Fracturing
Hydraulic fracturing—fracking, for short—refers to the stimulation of rock via the injection of fluids, typically water with additives, aiming at increasing the rock’s permeability. For hydrocarbon-bearing roc...
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Chapter
Further Subsurface Environmental Modelling Cases
The scope of this book does not allow all related subsurface environmental engineering applications to be covered in as much detail as in the topics of the previous sections. Yet, many fields and problems rema...
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Chapter
Conceptual Models for Environmental Engineering Related to Subsurface Flow and Transport
This chapter aims at providing an overview of research related to subsurface flow and transport modelling. We address the existing literature and discuss the role of modelling for engineering activities in the...
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Chapter
Software Concepts and Implementation
Coding a discretised mathematical model like the ones presented in Chaps. 2 and 3 yields a computational model in the form of software. Performing a numerical simulation corresponds to running a computational ...
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Chapter
Geologic Carbon Sequestration
The energy transition has become a key political issue in many countries. The main emphasis of responses to climate change challenges is in transforming the energy system from high to low carbon energy supply ...
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Chapter
Nuclear Energy and Waste Disposal
A field of subsurface environmental engineering which is likely to (re-)receive enormous societal attention is the fate of vast amounts of nuclear waste world-wide. One of the most likely options, given today’...
