Higher Order Explicit Schemes For BOD-DO Modelling In Open Channels
Free (open access)
R. I. Patel & R. Misra
This paper introduces a methodology for developing higher order explicit schemes for the solution of two coupled, one dimensional transport equation describing advection, dispersion and kinetics processes for BOD and DO modeling in open channels. Based on the proposed methodology, four new higher order schemes namely second order nodal, second order cell centered, third order nodal and third order cell centered are developed. Transport of BOD resulting in DO deficit with exponentially decaying BOD input as an upstream boundary condition is simulated with the developed schemes. Results of the proposed schemes are compared with analytical solution for BOD and convolution integral solution for DO. Proposed schemes accurately simulate BOD-DO profiles for the case under consideration.