Modified scheme for one-dimensional BOD-DO models

Abstract

An alternative numerical scheme for predicting the BOD variation with time at various successive distances from a wastewater outfall in a stream, is presented in this paper. The presented scheme (for the solution of differential equations incorporating the advection, dispersion, and biochemical decay) removes unnecessary restrictions imposed on the grid size ä x and ä t in the existing MAD scheme. The concept of numerical dispersion is exploited to model the physical dispersion process, and the presented scheme manifests explicity and stability. The robustness of the presented scheme in real life situations is demonstrated through an illustrative example based on hypothetical but rational and realistic data.