Dynamic Wave Simulation of Unsteady Open Channel and Surcharge Flows in Sewer Networks (saint-Venant Equations, Four-Point Implicit Finite Difference, Storm Sewer Drainage, Urban Hydrology)
Jun, Byong-Ho
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https://hdl.handle.net/2142/69955
Description
Title
Dynamic Wave Simulation of Unsteady Open Channel and Surcharge Flows in Sewer Networks (saint-Venant Equations, Four-Point Implicit Finite Difference, Storm Sewer Drainage, Urban Hydrology)
Author(s)
Jun, Byong-Ho
Issue Date
1985
Department of Study
Civil Engineering
Discipline
Civil Engineering
Degree Granting Institution
University of Illinois at Urbana-Champaign
Degree Name
Ph.D.
Degree Level
Dissertation
Keyword(s)
Hydrology
Engineering, Civil
Abstract
Sewers are traditionally designed to operate under open-channel flow conditions. However, it is not uncommon that under high flows some or all of the pipes in a sewer network may change from open-channel flow to surcharge flow. For surcharge flow in a sewer there exist two techniques of mathematical simulation. One is the standard technique which separates surcharge flow from open-channel flow and represents them mathematically by using two different sets of equations. The other is the Preissmann slot technique which simulates surcharge flow as open-channel flow using a hypothetical narrow open piezometric slot at the sewer crown. The flow is described mathematically using the unsteady open-channel Saint-Venant equations. In either case, a reliable simulation model is required to represent the flow process properly.
In this study, two computer models, using the standard surcharge and slot techniques, respectively, are developed to simulate the flow under pressure as well as free-surface flow in tree-type sewer networks of circular conduits. The Saint-Venant equations for unsteady open-channel flow in sewers are solved by using a four-point implicit finite difference scheme. In both models at any time step the open channel and surcharge flow equations of the sewers and the junction flow equations are solved simultaneously using a sparse matrix solution technique. The two simulation models are applied to four example sewer networks of different geometric and hydraulic characteristics and the results are compared. Both models simulate the unsteady flow in sewer networks reasonably well in accordance with theoretical expectation. From an application viewpoint, neither model has clear superiority over the other, although each model has its own relative minor advantages and disadvantages.
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