Open AccessA MATHEMATICAL MODEL FOR SALINITY INTRUSION
Author(s) -
A.Y. Kuo,
C.S. Fang
Publication year - 1972
Publication title -
proceedings of conference on coastal engineering/proceedings of ... conference on coastal engineering
Language(s) - English
Resource type - Journals
eISSN - 2156-1028
pISSN - 0589-087X
DOI - 10.9753/icce.v13.126
Subject(s) - extrapolation , boundary value problem , finite difference , mathematics , finite difference scheme , dispersion (optics) , salinity , field (mathematics) , computer science , meteorology , geology , mathematical analysis , physics , pure mathematics , optics , oceanography
A long term time-dependent mathematical model has been developed for predicting the salinity distributions in the upper York River System, including the tidal portions of the Mattaponi and Pamunkey Rivers. The method of calculating the longitudinal dispersion coefficient is discussed in detail. The study area and field project are described. The downstream boundary condition was found from a scheme combining a semi-explicit technique and linear extrapolation. The mass-balance equation, averaged over a tidal cycle and solved numerically by the implicit finite difference scheme, provided a reasonable solution and afforded economy in computer time. Field data were compared with the corresponding model results, indicating the general accuracy of the methodology.