Coupled numerical simulation and sensitivity assessment for quality modelling for water distribution systems

Sensitivity analysis is an important tool which can be used to investigate the stability of a process perturbed by parameter changes and uncertainty impacts. In this work the unsteady sensitivity equations for complex looped pipe networks are solved. Special attention is focused on the coupled version of these equations, with the direct problem. For this purpose a splitting method using a Total Variation Diminishing (TVD) scheme with very good quality of stability is set up and validated on a benchmark pipe network.