A high-resolution method for the depth-integrated solute transport equation based on an unstructured mesh

Kong, Jun, Xin, Pei, Shen, Cheng-Ji, Song, Zhi-Yao and Li, Ling (2013) A high-resolution method for the depth-integrated solute transport equation based on an unstructured mesh. Environmental Modelling and Software, 40 109-127. doi:10.1016/j.envsoft.2012.08.009


Author Kong, Jun
Xin, Pei
Shen, Cheng-Ji
Song, Zhi-Yao
Li, Ling
Title A high-resolution method for the depth-integrated solute transport equation based on an unstructured mesh
Journal name Environmental Modelling and Software   Check publisher's open access policy
ISSN 1364-8152
1873-6726
Publication date 2013-02
Year available 2012
Sub-type Article (original research)
DOI 10.1016/j.envsoft.2012.08.009
Volume 40
Start page 109
End page 127
Total pages 19
Place of publication Kidlington, Oxford, United Kingdom
Publisher Pergamon
Collection year 2013
Language eng
Abstract This paper presents a high-resolution numerical method for solving mass transport problems involving advection and anisotropic diffusion in shallow water based on unstructured mesh. An alternating operator-splitting technique is adopted to advance the numerical solution with advection and diffusion terms solved separately in two steps. By introducing a new r-factor into the Total Variation Diminishing (TVD) limiter, an improved finite-volume method is developed to solve the advection term with significant reduction of numerical diffusion and oscillation errors. In addition, a coordinate transformation is introduced to simplify the diffusion term with the Green-Gauss theorem used to deal with the anisotropic effect based on unstructured mesh. The new scheme is validated against three benchmark cases with separated and combined advection and diffusion transport processes involved. Results show that the scheme performs better than existing methods in predicting the advective transport, particularly when a sharp concentration front is in presence. The model also provides a sound solution for the anisotropic diffusion phenomenon. Anisotropic diffusion has been largely neglected by existing flow models based on unstructured mesh, which usually treat the diffusion process as being isotropic for simplicity. Based on the flow field provided by the ELCIRC model, the developed transport model was successfully applied to simulate the transport of a hypothetical conservative tracer in a bay under the influence of tides.
Keyword Scalar transport
Anisotropic diffusion
TVD scheme
Finite volume method
Unstructured mesh
Shallow water
Q-Index Code C1
Q-Index Status Confirmed Code
Institutional Status UQ
Additional Notes Available online 12 October 2012

Document type: Journal Article
Sub-type: Article (original research)
Collections: School of Civil Engineering Publications
Official 2013 Collection
 
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