Currently displaying 1 – 2 of 2

Showing per page

Order by Relevance | Title | Year of publication

Numerical investigation of dynamic capillary pressure in two-phase flow in porous medium

Radek Fučík;  Jiří Mikyška — 2011

Mathematica Bohemica

In order to investigate effects of the dynamic capillary pressure-saturation relationship used in the modelling of a flow in porous media, a one-dimensional fully implicit numerical scheme is proposed. The numerical scheme is used to simulate an experimental procedure using a measured dataset for the sand and fluid properties. Results of simulations using different models for the dynamic effect term in capillary pressure-saturation relationship are presented and discussed.

Guaranteed and robust error estimates for singularly perturbed reaction–diffusion problems

Ibrahim Cheddadi;  Radek Fučík;  Mariana I. Prieto;  Martin Vohralík — 2009

ESAIM: Mathematical Modelling and Numerical Analysis

We derive error estimates for singularly perturbed reaction–diffusion problems which yield a guaranteed upper bound on the discretization error and are fully and easily computable. Moreover, they are also locally efficient and robust in the sense that they represent local lower bounds for the actual error, up to a generic constant independent in particular of the reaction coefficient. We present our results in the framework of the vertex-centered finite volume method but their nature is general...

Page 1

Download Results (CSV)