Abstract
A new ensemble-averaged kinematic wave equation is derived for the flow routing problem in channel networks. This derivation is performed by ensemble averaging the second-order Taylor series expansion of the point scale kinematic wave equation around the mean value of the equation’s parameters. Utilizing this ensemble-averaged kinematic wave equation, the ensemble-averaged solution for the same ordered channels (according to the Strahler–Horton ordering) are obtained. Instead of solving the flow at each channel one by one, the ensemble-averaged solution is computed for the ensemble of channels that are of the same order within the channel network. Ensemble averaging is only applied to the channel orders that include a sufficient number of channels to form an ensemble of adequate size. Using this methodology, the computational load, parameter data requirements, and time/effort required to set up the model are reduced substantially. Besides the obtained economy in computations, data requirements and effort ...
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
