Blar i Department of Mathematics på emneord "Porous media"
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Auxiliary variables for 3D multiscale simulations in heterogeneous porous media
(Journal article, 20130401)The multiscale controlvolume methods for solving problems involving flow in porous media have gained much interest during the last decade. Recasting these methods in an algebraic framework allows one to consider them as ... 
Consistency issues in pdf methods
(Peer reviewed; Journal article, 2015)Concentrations of chemical species transported in random environments need to be statistically characterized by probability density functions (PDF). Solutions to evolution equations for the onepoint onetime PDF are usually ... 
A convergent mass conservative numerical scheme based on mixed finite elements for twophase flow in porous media
(Research report, 2017)In this work we present a mass conservative numerical scheme for twophase flow in porous media. The model for flow consists on two fully coupled, nonlinear equations: a degenerate parabolic equation and an elliptic ... 
Finite volume methods for elasticity with weak symmetry
(Peer reviewed; Journal article, 201711)We introduce a new cell‐centered finite volume discretization for elasticity with weakly enforced symmetry of the stress tensor. The method is motivated by the need for robust discretization methods for deformation and ... 
Multiscale mass conservative domain decomposition preconditioners for elliptic problems on irregular grids
(Peer reviewed; Journal article, 201106)Multiscale methods can in many cases be viewed as special types of domain decomposition preconditioners. The localisation approximations introduced within the multiscale framework are dependent upon both the heterogeneity ... 
Solute transport in aquifers with evolving scale heterogeneity
(Peer reviewed; Journal article, 2015)Transport processes in groundwater systems with spatially heterogeneous properties often exhibit anomalous behavior. Using firstorder approximations in velocity fluctuations we show that anomalous superdiffusive behavior ... 
Stable cellcentered finite volume discretization for biot equations
(Peer reviewed; Journal article, 20160329)In this paper we discuss a new discretization for the Biot equations. The discretization treats the coupled system of deformation and flow directly, as opposed to combining discretizations for the two separate subproblems. ... 
A unified multilevel framework of upscaling and domain decomposition
(Conference object, 2010)We consider multiscale preconditioners for a class of massconservative domaindecomposition (MCDD) methods. For the application of reservoir simulation, we need to solve large linear systems, arising from finitevolume ... 
Upscaling of the Coupling of Hydromechanical and Thermal Processes in a Quasistatic Poroelastic Medium
(Peer reviewed; Journal article, 201808)We undertake a formal derivation of a linear porothermoelastic system within the framework of quasistatic deformation. This work is based upon the wellknown derivation of the quasistatic poroelastic equations (also ...