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Lagrangian Method to Model Advection-Dispersion-Reaction Transport in Drinking Water Pipe Networks
Citation:
Shang, F., H. Woo, J. Burkhardt, AND R. Murray. Lagrangian Method to Model Advection-Dispersion-Reaction Transport in Drinking Water Pipe Networks. JOURNAL OF WATER RESOURCES PLANNING AND MANAGEMENT. American Society of Civil Engineers (ASCE), Reston, VA, 147(9):04021057, (2021). https://doi.org/10.1061/(ASCE)WR.1943-5452.0001421
Impact/Purpose:
A new approach to modeling advection, dispersion and reaction with drinking water distribution system. It is Lagrangian type and can be incorporated into current EPANET easily.
Description:
A fully Lagrangian method to simulate the advection, dispersion and reaction of a single constituent within a pipe network is presented. Fixed computational grids required in Eulerian and Eulerian-Lagrangian methods are not needed in the fully Lagrangian method and the size of the computational cells can be nonuniform. An operator splitting approach is used and the advection and reaction operator is solved before dispersion. A first order cell-centered implicit finite difference scheme is used to discretize the dispersion equation and a flux continuity condition is applied at the network junctions. A staged approach is used to solve the dispersion equation. A linear relationship between pipe end concentrations and cell concentrations is established for every pipe first. Then a symmetric and positive definite linear system is constructed to solve constituent concentration at the network junctions. After that, the concentrations of the internal computational cells within each individual pipe are updated accordingly.
URLs/Downloads:
DOI: Lagrangian Method to Model Advection-Dispersion-Reaction Transport in Drinking Water Pipe Networks
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