Discrete particle distribution model for advection-diffusion transport

Citation
M. Costa et Js. Ferreira, Discrete particle distribution model for advection-diffusion transport, J HYDR ENG, 126(7), 2000, pp. 525-532
Citations number
13
Language
INGLESE
art.tipo
Article
Categorie Soggetti
Civil Engineering
Journal title
JOURNAL OF HYDRAULIC ENGINEERING-ASCE
ISSN journal
0733-9429 → ACNP
Volume
126
Issue
7
Year of publication
2000
Pages
525 - 532
Database
ISI
SICI code
0733-9429(200007)126:7<525:DPDMFA>2.0.ZU;2-X
Abstract
A new methodology, named DisPar, based on a discrete probability distributi on for a particle displacement, was developed to solve 1D advection-diffusi on transport problems in water bodies. The discrete probability distributio n for the particle displacement was developed as an average and variance fu nction. These probabilities were used to predict the deterministic mass tra nsfer between cells in one time step, and therefore the particle concentrat ion in each cell was considered the state variable. The state equation was found to be similar to an explicit finite-difference formulation with a Eul erian grid. The model stability, positivity, and mass conservation are guar anteed by the probability distribution concept. DisPar produces solutions w ithout numerical dispersion for constant velocity, diffusion coefficient, a nd cross-sectional area. In these conditions, DisPar was also developed as a function of space and time for an instantaneous mass spill. When the stab ility and positivity restrictions were respected, the model produced excell ent results when compared to analytical solutions and other methods. The di screte particle displacement distribution concept differs from other numeri cal formulations, and therefore it represents a new modeling technique.