Nonlinear flood routing with multilinear models

Abstract

The category of multilinear models is analyzed that embraces several approaches developed in apparently independent references. Multilinear modeling is a means of describing a nonlinear system with a set of linear models. This is performed by distributing the inflow to the system (river reach) into inflows to submodels and treating these inflows with a family of different linear operators. The models considered are nearly as simple as linear models and almost as accurate as nonlinear hydrodynamical models.