Blar i NTNU Open på forfatter "Raynaud, Xavier"
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CO2 Sequestration - a Near-Well Study
Sørum, Espen Høegh (Master thesis, 2017)Carbon Capture and Storage (CCS) has been proposed as a promising and necessary tool in strategies for mitigating the effects of anthropogenic climate change. Deep geological formations, like saline aquifers, are pointed ... -
A continuous interpolation between conservative and dissipative solutions
Grunert, Katrin; Holden, Helge; Raynaud, Xavier (Peer reviewed; Journal article, 2015)We introduce a novel solution concept, denoted -dissipative solutions, that provides a continuous interpolation between conservative and dissipative solutions of the Cauchy problem for the two-component Camassa–Holm system ... -
A continuous interpolation between conservative and dissipative solutions for the two-component Camassa-Holm system
Grunert, Katrin; Holden, Helge; Raynaud, Xavier (Peer reviewed; Journal article, 2015)We introduce a novel solution concept, denotedα-dissipative solutions, that provides a continuousinterpolation between conservative and dissipative solutions of the Cauchy problem for the two-component Camassa–Holm system ... -
Discretizations of Wave Equations and Applications of Variational Principles
Galtung, Sondre Tesdal (Doctoral theses at NTNU;2020:331, Doctoral thesis, 2020) -
Efficient Solvers for Field-Scale Simulation of Flow and Transport in Porous Media
Klemetsdal, Øystein Strengehagen (Doctoral theses at NTNU;2019:374, Doctoral thesis, 2019)The first part of the thesis serves as an introduction to modelling of flow and transport in porous media from the perspective of reservoir simulation. We discuss generation of computational grids and discretization ... -
Global dissipative solutions of the two-component Camassa-Holm system for initial data with nonvanishing asymptotics
Grunert, Katrin; Holden, Helge; Raynaud, Xavier (Journal article, 2014)We show the existence of a global weak dissipative solution of the Cauchy problem for the two-component Camassa–Holm (2CH) system on the line with nonvanishing and distinct spatial asymptotics. The influence from the second ... -
Machine-learning algorithms for the computation of upscaled permeabilities
Bohne, Roman (Master thesis, 2018)In full-scale reservoir simulation models, the characteristics of the rock are not fully resolved. Upscaled permeabilities are used to account for the effective behaviour of a composite region. By averaging the fine ... -
Mathematical modeling and numerical study of viscous fingering
Székely, Ferenc (Master thesis, 2018)The main goal of the thesis is to simulate and analyze non-linear partial differential equations effeciently in Matlab. Immiscible displacement of oil by water in porous media is simulated and analyzed in Matlab. We ... -
Microbial Enhanced Oil Recovery - Modeling and Numerical Simulations
Amundsen, Aleksander (Master thesis, 2015)This thesis examines the process by which microbes are used to enhance oil recovery from subsurface reservoirs. A brief introduction to reservoirs is given and the possible effects of microbes are explained. A model is ... -
On a shallow water wave equation
Raynaud, Xavier (Doktoravhandlinger ved NTNU, 1503-8181; 2006:103, Doctoral thesis, 2006)The main topic of this thesis is the study of a nonlinear partial differential equation, the Camassa-Holm (CH) equation: ut - utxx + 3uux - 2uxuxx -uuxxx = 0. -
A semi-discrete scheme derived from variational principles for global conservative solutions of a Camassa–Holm system
Galtung, Sondre Tesdal; Raynaud, Xavier (Peer reviewed; Journal article, 2021)We define a kinetic and a potential energy such that the principle of stationary action from Lagrangian mechanics yields a Camassa–Holm system (2CH) as the governing equations. After discretizing these energies, we use the ... -
Symmetries and multipeakon solutions for the modified two-component Camassa-Holm system
Raynaud, Xavier; Grunert, Katrin (Chapter, 2018)Compared with the two-component Camassa–Holm system, the modified two-component Camassa–Holm system introduces a regularized density which makes possible the existence of solutions of lower regularity, and in particular ... -
The Virtual Element Method as a Common Framework for Finite Element and Finite Difference Methods - Numerical and Theoretical Analysis
Klemetsdal, Øystein S (Master thesis, 2016)Consistent discretizations of differential equations on polygonal and polyhedral grids is an active area of research. This is of particular interest in applications where the grid is constructed to capture the physical ...