FEM and/or BEM for numerical simulation of Marangoni flow

AbstractThe aim of this work is the numerical study of Marangoni effect using three different methods. They are a finite…

Surface mobility of surfactant solutions XVI. Involvement of the fluid viscosities in the Marangoni flow – some aspects

AbstractThe influence of viscosity upon the Marangoni flow (induced by surface tension differences) in competition with the gravity flow, through…

On the use of Green’s formula for the solution of the Navier-Stokes equations

AbstractA general iterative procedure for solving Navier-Stokes system in stream function-vorticity variables  is considered. Using the fundamental solution for Laplace…

Accuracy of numerical simulations of contaminant transport in heterogeneous aquifers: A comparative study

AbstractThis work deals with a comparison of different numerical schemes for the simulation of contaminant transport in heterogeneous porous media.…

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

AbstractWe investigate a prototypical reaction–diffusion-flow problem in saturated/unsaturated porous media. The special features of our problem are twofold: the reaction produces…