Centre manifold method is an accurate approach for analytically constructing an advection-diffusion equation (and even more accurate equations involving higher-order derivatives) for the depth-averaged concentration of substances in channels. This project is focused on a direct numerical verification of this method with examples of the dispersion in laminar and turbulent flows in open channels. The one-dimensional integrated radial basis function network (1D-IRBFN) method is used as a numerical approach to obtain a numerical solution for the original two-dimensional (2-D) advection-diffusion equation. The 2-D solution is depth-averaged and compared with the solution of the 1-D equation derived using the centre manifolds.

• Professor Thanh Tran-Cong

• Computational Engineering and Science Research Centre

• Applied Mathematics
• Numerical and Computational Mathematics

• Doctor of Philosophy (DPHD)
• Master of Research (MRES)