Multilinear Diffusion Analogy Model for Real-Time Streamflow Routing

A multilinear routing method using diffusion analogy model as a sub-model is proposed in this study. The diffusion analogy model can be considered as the next level of approximation to the full Saint-Venant equations. The applicability of the method is first tested by simulating the outflow hydrographs generated by routing the hypothetical inflow hydrographs in hypothetical channel reaches using the Saint-Venant equations and, subsequently, by studying the flood wave propagation in a 23 km reach of Tiber River in Central Italy. The results demonstrate the suitability of the diffusion analogy model as a sub-model for its use in the multilinear routing method for real-time applications.