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https://hdl.handle.net/11681/24632| Title: | Two-dimensional QUICKEST : solution of the depth-averaged transport-dispersion equation |
| Authors: | Hall, Ross W. Chapman, Raymond S. |
| Keywords: | Finite element method Rayleigh waves Water quality--Measurement--Mathematical models Diffusion--Mathematical models |
| Publisher: | Environmental Laboratory (U.S.) U.S. Army Engineer Waterways Experiment Station. |
| Series/Report no.: | Technical Report;EL-85-3 |
| Abstract: | This study details the derivation of a third-order accurate, explicit, finite-difference scheme (QUICKEST) for the solution of the depth-averaged transport-dispersion equation and compares its performance to an existing third-order accurate Lagrangian algorithm (12-POINT). Test comparisons included both one- and two-dimensional transient transport. Performance criteria examined included numerical diffusion/amplitude, phase, and mass conservation errors. Results presented show that both schemes possess favorable amplitude and phase characteristics. However, unlike QUICKEST, which is mass conservative, the 12-POINT scheme exhibits mass conservation errors that are directly attributable to the time step employed. Neglect of the cross-derivative terms in the QUICKEST formulation results in increased diffusion/amplitude errors as grid density decreases or time step increases. The work presented herein is preliminary to the development of a general purpose, depth-integrated water quality model. Of the two third-order finite schemes examined, QUICKEST is far superior for engineering applications where practical grid spacing and time steps are essential. |
| URI: | http://hdl.handle.net/11681/24632 |
| Appears in Collections: | Technical Report |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| TR EL-85-3.pdf | 2.04 MB | Adobe PDF |  View/Open |