Advances in Difference Equations | |
Unconditional stable numerical techniques for a water-quality model in a non-uniform flow stream | |
Nopparat Pochai1  | |
[1] Department of Mathematics, Faculty of Science, King Mongkut’s Institute of Technology Ladkrabang, Bangkok, Thailand | |
关键词: Crank-Nicolson scheme; new fourth-order scheme; Saulyev scheme; hydrodynamic model; dispersion model; 65N06; 65M06; 35L40; 35K57; | |
DOI : 10.1186/s13662-017-1338-4 | |
学科分类:数学(综合) | |
来源: SpringerOpen | |
【 摘 要 】
Two mathematical models are used to simulate water quality in a non-uniform flow stream. The first model is the hydrodynamic model that provides the velocity field and the water elevation. The second model is an advection-diffusion-reaction model that provides the pollutant concentration field. Both models are formulated as one-dimensional equations. The traditional Crank-Nicolson method is also used in the hydrodynamic model. At each step, the flow velocity fields calculated from the first model are the inputs into the second model. A new fourth-order scheme and a Saulyev scheme are simultaneously employed in the second model. This paper proposes a remarkably simple alteration to the fourth-order method so as to make it more accurate without any significant loss of computational efficiency. The results obtained indicate that the proposed new fourth-order scheme, coupled to the Saulyev method, does improve the prediction accuracy compared to that of the traditional methods.
【 授权许可】
CC BY
【 预 览 】
Files | Size | Format | View |
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RO201901223676313ZK.pdf | 3165KB | download |