Boundary Element Method For The Analysis OfFlow And Concentration In A Water Reservoir

Abstract

In an earlier study, a boundary element method (BEM) and a weighted finite difference method (WFDM) were combined to analyse the flow in a water reservoir. In this paper, the BEM is developed to obtain numerically stable and convergent results for the water flow and concentration distribution in the water reservoir. In order to apply the BEM to the problem, three techniques were used. (1) The first is the penalty method, in which the pressure terms are eliminated in the Navier-Storks equations for the BEM. (2) The second involves taking the uniform velocity into the basic solution in both the flow and concentration distribution analyses of our BEM. (3) The third is to identify the kinetic and dynamic conditions for pressure against the vertical wall or the bottom and on the free surface of the reservoir because it is necessary to ascertain the pressure conditions in case that the penalty method is not used. Referring to the velocity vectors of the water flow that are calculated by the WFDM and observed in the model simulation of a water reservoir constructed in our laboratory, the effect and accuracy of the alternative BEM are estimated.