THE INVESTIGATION OF WATER QUALITY IN RIVERS BY USING MATHEMATICAL MODELLING

8th International Scientific Conference - SGEM2008, www.sgem.org, SGEM2008 Conference Proceedings/ ISBN: 954-918181-2, June 16-20, 2008, Vol. 2, 373-380 pp

ABSTRACT

A finite difference method for solving the initial boundary value problem for one
dimensional nonlinear system equations for investigating the quality of water on the
model of shallow water flow over on isolated ringe in a class of discontinuous functions
is suggested. In order to develop the numerical algorithm the special auxiliary problem
having some advantages over the main problem is introduced. The solution obtained
from the auxiliary problem represents all physical nature of the investigated problem
with a high accuracy.

Keywords: wave pollution, shallow water, numerical modeling, shock waves, nonlinear wave propagation.