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.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
