Numerical simulation of sediment dynamics with free surface flows
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A numerical model is presented for the simulation of complex fluid flows with free surfaces. The unknowns are the velocity and pressure fields in the liquid region, together with a function defining the volume fraction of liquid. Although the mathematical ...
We present some results on coupling Navier-Stokes with shallow water equations for surface flows, and with Darcy's equation for groundwater flows. We discuss suitable interface conditions and show the well-posedness of the coupled problem in the case of a ...
The Yosida method was introduced in (Quarteroni et al., to appear) for the numerical approximation of the incompressible unsteady Navier-Stokes equations. From the algebraic viewpoint, it can be regarded as an inexact factorization of the matrix arising fr ...
High-performance parallel computer systems have been employed to compute a variety of three-dimensional incompressible fluid flows. Three different numerical methods have been used for the discretization of the Navier-Stokes equations, with domain decompos ...
We investigate stabilized Galerkin approximations of linear and nonlinear convection-diffusion-reaction equations. We derive nonlinear streamline and cross-wind diffusion methods that guarantee a discrete maximum principle for strictly acute meshes and fir ...
Structured silica woven fabrics have been derivatized with functional groups able to anchor by exchange of Fe3+-ions and TiO2 showing a stable performance during the visible light induced decoloration of the Orange II azo-dye. The kinetics and efficiency o ...
We consider a heterogeneous model for the dynamics of a blood solute both in the vascular lumen and inside the arterial wall. In the lumen, we consider an advection-diffusion equation, where the convective field is provided by the velocity of blood, which ...
A transport equation is derived which describes the behavior of the nanostructured metal oxide films in a photoelectrochem. cell. A detailed anal. of the charge compensation mechanism necessarily leads to a transport equation with characteristics similar t ...
The numerical modeling of solutes absorption processes by the arterial wall is of paramount interest for the understanding of the relationships between the local features of blood flow, the nourishing of the inner arterial wall by the blood solutes, and th ...
A numerical modelling approach, used for the analysis of stable brine displacement results, is described. The purpose of the analysis is to evaluate recent theoretical advances in modelling of density-dependent flow and transport. The data analysis involve ...