A numerical scheme is proposed for analyzing transport phenomena in disordered media which satisfies the conservation principle. In order to validate the finite difference formulation, the analysis of usual Brownian motion on fractals is developed, the scaling of P(r, t) discussed and steady-state profile analyzed. The role of fluid dynamic conditions is addressed by means of two applications: gas velocity under Darcy regime and incompressible irrotational flow around a fractal cluster.

FINITE-DIFFERENCE METHODS IN THE ANALYSIS OF TRANSPORT PHENOMENA IN FRACTAL STRUCTURES / Giona, Massimiliano; Adrover, Alessandra; Giona, Alessandro Romano. - STAMPA. - 41:(1994), pp. 153-163. (Intervento presentato al convegno 2nd IFIP Working Conference on Fractals in the Natural and Applied Sciences tenutosi a LONDON, ENGLAND nel SEP 07-10, 1993).

FINITE-DIFFERENCE METHODS IN THE ANALYSIS OF TRANSPORT PHENOMENA IN FRACTAL STRUCTURES

GIONA, Massimiliano;ADROVER, Alessandra;GIONA, Alessandro Romano
1994

Abstract

A numerical scheme is proposed for analyzing transport phenomena in disordered media which satisfies the conservation principle. In order to validate the finite difference formulation, the analysis of usual Brownian motion on fractals is developed, the scaling of P(r, t) discussed and steady-state profile analyzed. The role of fluid dynamic conditions is addressed by means of two applications: gas velocity under Darcy regime and incompressible irrotational flow around a fractal cluster.
1994
2nd IFIP Working Conference on Fractals in the Natural and Applied Sciences
anomalous diffusion; disordered media; fluiddynamics
04 Pubblicazione in atti di convegno::04b Atto di convegno in volume
FINITE-DIFFERENCE METHODS IN THE ANALYSIS OF TRANSPORT PHENOMENA IN FRACTAL STRUCTURES / Giona, Massimiliano; Adrover, Alessandra; Giona, Alessandro Romano. - STAMPA. - 41:(1994), pp. 153-163. (Intervento presentato al convegno 2nd IFIP Working Conference on Fractals in the Natural and Applied Sciences tenutosi a LONDON, ENGLAND nel SEP 07-10, 1993).
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/481411
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