Numerical solution for DO transport equation

Abstract

An alternate finite difference scheme which is explicit and unconditionally stable has been presented. The scheme overcomes the artificial/numerical dispersion/diffusion error, which is usually encountered when the advection part of the advection dispersion equation is solved using finite difference approximation. The scheme works within certain specified range of time interval (deltat) but for spatial grid interval there is no such restriction. The proposed scheme is tested using some hypothetical but rational data. The DO variation with time and distance due to an exponentially decaying source of BOD, are plotted and discussed. (Authors)