Browsing Department of Mathematics by Issue Date
Now showing items 120 of 300

An OpenSource Toolchain for Simulation and Optimization of AquiferWide CO2 Storage
(Elsevier Ltd., 20160204)Planning and execution of largescale, aquiferwide CO2 storage operations will require extensive use of computer modelling and simulations. The required computational tools will vary depending on the physical characteristics ...Journal article 
Oppfatningar og misoppfatningar i sannsyn: Ein mixed methodsstudie av elevar på vidaregåande trinn – yrkesfagleg retning
(The University of Bergen, 201601)Denne masteroppgåva handlar om korleis elevar på vidaregåande trinn – yrkesfagleg retning forstår omgrep innafor sannsyn. Føremålet har vore å avdekkja kva oppfatningar og misoppfatningar elevane har og kva løysingsstrategiar ...Master thesis 
Upscaling of Nonisothermal Reactive Porous Media Flow under Dominant Péclet Number: The Effect of Changing Porosity
(Society for Industrial and Applied Mathematics, 2016)Motivated by rockfluid interactions occurring in a geothermal reservoir, we present a twodimensional pore scale model of a thin strip consisting of void space and grains, with fluid flow through the void space. Ions in ...Journal article 
Wave breaking in long wave models and undular bores
(The University of Bergen, 20151218)Bores are a well known phenomena in fluid mechanics, although their occurrence in nature is relatively rare. The circumstances in which they occur is usually when a tidal swell causes a difference in surface elevation ...Master thesis 
A robust linearization scheme for finite volume based discretizations for simulation of twophase flow in porous media
(Elsevier, 201512)In this work we consider a mathematical model for twophase flow in porous media. The fluids are assumed immiscible and incompressible and the solid matrix nondeformable. The mathematical model for the twophase flow is ...Journal article 
Subsea pump vibration analysis for predictive maintenance
(The University of Bergen, 20151129)The goal of this study is to compare vibration signals of subsea pumps from two different time periods. These signals are gathered for predictive maintenance reasons. Vibration analysis is one of the most efficient tools ...Master thesis 
A robust implicit scheme for twophase flow in porous media
(The University of Bergen, 20151126)In this thesis we present a new implicit scheme for the numerical simulation of twophase flow in porous media. Linear finite elements are considered for the spatial discretization. The scheme is based on the ...Master thesis 
Heat Transfer Upscaling in Geothermal Reservoirs
(The University of Bergen, 20151120)In this thesis we implement a numerical model of heat transfer in geothermal reservoirs. We use existing pressure and flow transport solvers as a starting point to investigate discretization techniques for a ...Master thesis 
Convergence of a CellCentered Finite Volume Discretization for Linear Elasticity
(SIAM, 20151119)We show convergence of a cellcentered finite volume discretization for linear elasticity. The discretization, termed the MPSA method, was recently proposed in the context of geological applications, where cellcentered ...Journal article 
A Comparison of Anthropometric Measures for Assessing the Association between Body Size and Risk of Chronic Low Back Pain: TheHUNT Study
(PLOS, 20151027)Background: Previous work indicates that overweight and obese individuals carry an increased risk of experiencing chronic low back pain (LBP). It is not known, however, how the association with body size depends on the ...Journal article 
Analytical Methods for Upscaling of Fractured Geological Reservoirs
(The University of Bergen, 20151016)Numerical simulations have become an essential tool for planning well operations in the subsurface, whether the application is petroleum production, geothermal energy, groundwater utilization or waste disposal and leakage. ...Doctoral thesis 
Algebra i første klasse
(The University of Bergen, 20151012)Oppgaven handler om algebra i første klasse. Hva er tidlig algebra og hvordan kan vi undervise på en slik måte at vi utvikler elevenes algebraiske tenkning? Tidlig algebra er ikke at vi underviser skolealgebra tidligere, ...Master thesis 
Modeling of heat transfer in porous media in the context of geothermal energy extraction
(The University of Bergen, 20151002)This dissertation concerns mathematical modeling related to heat transfer in the subsurface relevant for geothermal energy extraction. Two applications are considered: First, natural convection in a homogeneous porous ...Doctoral thesis 
Design of a monitoring program in a varying marine environment
(The University of Bergen, 20150914)In this thesis we develop methods for optimal design of a monitoring program for offshore geological CO2 storage. The goal is to find the layout of fixed chemical sensors at the seafloor that maximizes the probability ...Master thesis 
General Slit Stochastic Löwner Evolution and Conformal Field Theory
(The University of Bergen, 201509)Doctoral thesis 
Ensemble Methods of Data Assimilation in Porous Media Flow for NonGaussian Prior Probability Density
(The University of Bergen, 20150828)Ensemblebased dataassimilation methods have gained fast growth since the ensemble Kalman filter (EnKF) was introduced into the petroleum engineering. Many techniques have been developed to overcome the inherent disadvantages ...Doctoral thesis 
Solution strategies for nonlinear conservation laws
(The University of Bergen, 20150821)Nonlinear conservation laws form the basis for models for a wide range of physical phenomena. Finding an optimal strategy for solving these problems can be challenging, and a good strategy for one problem may fail spectacularly ...Doctoral thesis 
Twophase flow in porous media: dynamic capillarity and heterogeneous media
(Springer, 20150811)We investigate a twophase porous media flow model, in which dynamic effects are taken into account in phase pressure difference. We consider a onedimensional heterogeneous case, with two adjacent homogeneous blocks ...Journal article 
The Whitham Equation as a model for surface water waves
(Elsevier, 201508)The Whitham equation was proposed as an alternate model equation for the simplified description of unidirectional wave motion at the surface of an inviscid fluid. As the Whitham equation incorporates the full linear ...Journal article 
Nonstandard shocks in the BuckleyLeverett equation
(Elsevier, 201508)It is shown how delta shock waves which consist of Dirac delta distributions and classical shocks can be used to construct nonmonotone solutions of the Buckley–Leverett equation. These solutions are interpreted using a ...Journal article