TECHNICAL PAPERS
Mar 1, 1998

Tidal and Transport Modeling by Using Turbulence k˜w˜ Model

Publication: Journal of Environmental Engineering
Volume 124, Issue 3

Abstract

This paper presents an unsteady depth-integrated simulation for solving a hydrodynamic engineering problem in the estuary of the Yangtze River. The computation is based on the advanced turbulence depth-averaged two-equation k˜w˜(k˜, depth-averaged turbulent kinetic energy parameter; w˜, depth-averaged vorticity fluctuation parameter of turbulence) model. Variations of bottom topography and water surface elevation were taken into account. The model has the ability to simulate and predict flow fields and pollutant transport driven by tidal flows within a coarse grid resolution. The distributions and variations of velocity, temperature, and concentration fields caused by discharged pollutants from seven sources, two of which are submerged, were simulated over a full tidal cycle. The velocity and temperature fields computed by turbulence k˜-w˜ modeling have been compared with experimental results and field data. It was found that the simulation by using the turbulence k˜-w˜ two-equation closure can provide more details of flow fields and concentration distributions than ones by using phenomenological algebraic formulas of eddy viscosity and diffusivity.

Get full access to this article

View all available purchase options and get full access to this article.

References

1.
Abbot, D. E., and Kline, S. J.(1962). “Experimental investigation of subsonic turbulent flow over single and double backward facing steps.”J. Basic Engrg., ASME, 84(3), 317–325.
2.
Booij, R. (1989). “Depth-averaged k-ε modelling.”Proc., 23rd IAHR Congr., Ottawa, Canada, Vol. A, 199–206.
3.
Chapman, R. S., and Kuo, C. Y. (1982). “A numerical simulation of two-dimensional separated flow in a symmetric open-channel expansion using the depth-integrated two-equation (k−ε) turbulence closure model.” Dept. of Civ. Engrg., Rep. 8202, Virginia Polytechnic Inst. and State Univ., Blacksburg, VA.
4.
Fisher, H. B., Imberger, J., List, E. J., Koh, R. C. Y., and Brooks, N. H. (1979). Mixing in inland and coastal waters. Academic Press, Inc., San Diego, Calif.
5.
Gupta, A. K., and Lilley, D. G. (1985). Flow field modelling and diagnostics. Abass Press, Kent, England.
6.
Hunter, J. R. (1981). “The user's manual for two-dimensional numerical hydrodynamic model.”Rep. No. U80-5, Unit for Coast. and Estuarine Studies, Univ. College of North Wales, England.
7.
Ilegbusi, I. O. (1983). “Revised two-equation model of turbulence.”Rep. No. CFD/83/5, Imperial Coll., London, England.
8.
Ilegbusi, I. O. (1984). “Proposal for wall function for friction and heat transfer in the presence of roughness and mass transfer.”Rep. No. CFD/84/12, Imperial Coll., London, England.
9.
Ilegbusi, J. O., and Spalding, D. B. (1982). “Application of a new version of the k-w model of turbulence to a boundary layer with mass transfer.”Rep. No. CFD/82/15, Imperial College.
10.
Lauder, B. E., and Spalding, D. B.(1974). “The numerical computation of turbulent flows.”Comp. Methods in Appl. Mech. and Engrg., 3(3), 269–289.
11.
Laufer, J. (1951). “Investigation of turbulent flow in a two-dimensional channel.”NASA Rep. No. 1053, NASA, Washington, D.C.
12.
Li, C. W., and Yu, T. S.(1996). “Numerical investigation of turbulent shallow recirculating flows by a quasi-three-dimensional k-ε model.”Int. J. for Numer. Methods in Fluids, 23(5), 485–501.
13.
McGuirk, J. J., and Rodi, W. (1977). “A depth-averaged mathematical model for side discharges into open channel flow.”Rep. No. SFB 80/T/88, Universität Karlsruhe, Karlsruhe, Germany.
14.
Meteorological Center of Shanghai (MCSH). (1991). “Environmental effect evaluation on washing-dust waste water discharge from shidongkon second power plant.” Meteorological Center of Shanghai Region, Shanghai, China (in Chinese).
15.
Pan, C. H., Xu, X. Z., and Lin, B. Y. (1995). “Finite element method of unsteady depth-averaged k-ε turbulence model in open channels.”J. Hydro., Amsterdam, The Netherlands, A10(3), 281–289 (in Chinese).
16.
Patankar, S. V. (1980). Numerical heat transfer and fluid flow. Hemisphere Publishing Corp., Bristol, Pa.
17.
Rastogi, A. K., and Rodi, W.(1978). “Prediction of heat and mass transfer in open channels.”J. Hydr. Div., ASCE, 104(3), 397–402.
18.
Rodi, W., Pavlovic, R. N., and Srivatsa, S. K. (1980). “Prediction of flow and pollutant spreading in rivers.”Transport modelling for inland and coastal waters, Proc., symp. on predictive ability, Academic Press, Berkely, 63–111.
19.
Spalding, D. B. (1969). “The prediction of two-dimensional, steady turbulent flows.”Heat Transfer Sect. Rep. No. EF/TN/A/16, Imperial Coll., London, England.
20.
Yu, L. R., Geng, Z. Q., Roma, W. N. L., Righetto, A. M., and Xiong, S. L. (1998). “Two- and three-dimensional nested simulation by using FEM and FVA to analyze flows in an estuary.”Mathematical and Comp. Modelling, an International Journal.
21.
Yu, L. R., and Righetto, A. M. (1996). “Real 3-dimensional flow simulation in river.”Advances in fluid mechanics, advances in fluid mechanics series 9, M. Rahman and C. A. Brebbia, eds., Computational Mechanics Publications, Southampton, Boston, 255–264.
22.
Yu, L. R. (1988). “Turbulent model and numerical research for turbulent transport of contaminants in water environment,” PhD thesis, Hohai University at Nanjing, China (in Chinese).
23.
Yu, L. R. (1991). “A new depth-averaged two-dimensional (k˜-w˜) turbulent closure model and its application to numerical simulation for a river.” Amsterdam, The Netherlands, J. Hydro., B3(2), 21–28.
24.
Yu, L. R., and Zhang, S. N. (1988). “A new depth averaged two-equation (k˜-w˜) turbulent closure model.”Proc., 3rd Symp. on Refined Flow Modelling and Turbulence Measurements, 549–555, Tokyo, Japan. or J. Hydro., 1(3), 47–54, (1989).
25.
Yu, L. R., and Zhu, S. P.(1993). “Numerical simulation of discharged waste heat and contaminants into the south estuary of the Yangtze River.”Mathematical and Comp. Modelling, 18(12), 107–123.

Information & Authors

Information

Published In

Go to Journal of Environmental Engineering
Journal of Environmental Engineering
Volume 124Issue 3March 1998
Pages: 212 - 221

History

Published online: Mar 1, 1998
Published in print: Mar 1998

Permissions

Request permissions for this article.

Authors

Affiliations

Li-Ren Yu
Visiting Res., Dept. of Hydr. and Sanitary Engrg., School of Engrg. at So Carlos, USP, Av. Dr. Carlos Botelho, 1465, 13560-970, So Carlos, SP, Brazil.
A. M. Righetto
Assoc. Prof., Dept. of Hydr. and Sanitary Engrg., School of Engrg. at So Carlos, USP, Av. Dr. Carlos Botelho, 1465, 13560-970, So Carlos, SP, Brazil.

Metrics & Citations

Metrics

Citations

Download citation

If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.

Cited by

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share