A mixed finite element discretization scheme for a concrete carbonation model with concentration-dependent porosity

A mixed finite element method for Darcy's equations with pressure dependent porosity

In this work we develop the a priori and a posteriori error analyses of a mixed finite element method for Darcy’s equations with porosity depending exponentially on the pressure. A simple change of variable for this unknown allows us to transform the original nonlinear problem into a linear one whose dual-mixed variational formulation falls into the frameworks of the generalized linear saddle p...

A Finite Element Model for Simulating Flow around a Well with Helically Symmetric Perforations

In a perforated well, fluids enter the wellbore through array of perforation tunnels. These perforations are typically distributed in a helical pattern around the wellbore. Available numerical models to simulate production flow into cased-and-perforated vertical wells have complicated boundary conditions or suffer from high computational costs. This paper presents a simple and at the same time ...

Numerical Experiments with Self-Adaptive Finite Element Simulations in 2D for the Carbonation of Concrete

Chemical processes like carbonation of concrete structures are driven by slow diffusion processes and fast reactions. This leads to the formation of relatively sharp reaction fronts, which move slowly through the material. Self-adaptive finite element methods provide a tool to automatically generate meshes locally fine enough to capture the reaction, while coarser meshes are sufficient in the b...

Mixed finite element discretization of a model for organic pollution in waters Part I. The problem and its discretization

We consider a mixed reaction diffusion system describing the organic pollution in stream-waters. It may be viewed as the static version of Streeter–Phelps equations relating the Biochemical Oxygen Demand and Dissolved Oxygen to which dispersion terms are added. In this work, we propose a mixed variational formulation and prove its well-posedness. Next, we develop two finite element discretizati...

Developing a 3 D finite element model for reinforced concrete