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Modeling investigation of asymmetric tidal mixing and residual circulation in a partially stratified estuary

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Abstract

A three-dimensional hydrodynamic model was applied to the Danshuei River estuarine system in northern Taiwan to investigate the influence of flood-ebb, spring-neap tidal cycles, and salinity distribution on tidal mixing, residual circulation, stratification, and tidal asymmetry. The model was validated using observational data collected in 2008. The results from the model agreed well with observations of water surface elevation, tidal currents, and salinity. It was found that the depth-averaged tidal current during flood tide is weaker with a shorter duration than that during ebb tide in the estuary, which was attributed to tidal asymmetry. Vertical profiles of salinity, flow, eddy diffusivity, and Richardson number also showed a marked asymmetry between flood and ebb tides. Bottom boundary stresses were higher during flood tides than during ebb tides, resulting in more mixing occurrence and consequently decreasing the Richardson numbers. The tidally averaged salinity was more stratified during neap tides than during spring tides because the presence of the stronger vertical diffusivity and turbulent kinetic energy during spring tides. The modeling results also confirmed that the residual circulation was stronger during neap tides than during spring tides.

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References

  1. Davies JL (1964) A morphogenic approach to world shorelines. Z Geomorphol 8:27–42

    Google Scholar 

  2. Itsweire EC, Koseff JR, Briggs DA, Ferziger JH (1993) Turbulence in stratified shear flows: implications for interpreting shear induced mixing in the ocean. J Phys Oceanogr 23(7):1508–1522

    Article  Google Scholar 

  3. Buchard H, Baumert H (1998) The formation of estuarine turbidity maxima due to density effects in the salt wedge: a hydrodynamic process study. J Phys Oceanogr 28(2):309–321

    Article  Google Scholar 

  4. Simpson JH, Brown J, Matthews J, Allen G (1990) Tidal straining, density currents, and stirring in the control of estuarine stratification. Estuar Coast 13(2):125–132

    Article  Google Scholar 

  5. Jay DA, Smith JD (1990) Residual circulation in shallow estuaries-II. Weakly stratified and partially mixed, narrow estuaries. J Geophys Res 95(C1):733–748

    Article  Google Scholar 

  6. Jay DA (1991) Estuarine salt conservation: a Lagrangian approach. Estuar Coast Shelf Sci 32(6):547–565

    Article  Google Scholar 

  7. Peters H, Bokhorst R (2000) Microstructure observations of turbulent mixing in a partially mixed estuary. I: dissipation rate. J Phys Oceanogr 30(6):1232–1244

    Article  Google Scholar 

  8. Trowbridge JH, Geyer WR, Bowen MM, Williams AJ III (1999) Near-bottom turbulence measurements in a partially mixed estuary: turbulent energy balance, velocity structure, and along-channel momentum balance. J Phys Oceanogr 29(12):3056–3072

    Article  Google Scholar 

  9. Geyer WR, Trowbridge JH, Bowen MM (2000) The dynamics of a partially mixed estuary. J Phys Oceanogr 30(8):2035–2048

    Article  Google Scholar 

  10. Pritchard DW (1952) Salinity distribution and circulation in the Chesapeake Bay estuarine system. J Mar Res 11(2):121–133

    Google Scholar 

  11. Pritchard DW (1954) A study of the salt balance in a coastal plain estuary. J Mar Res 13(1):133–144

    Google Scholar 

  12. Pritchard DW (1956) The dynamic structure of a coastal plain estuary. J Mar Res 15(1):33–42

    Google Scholar 

  13. Rattray M, Hansen DV (1962) A similarity solution for the circulation in an estuary. J Mar Res 20(2):121–133

    Google Scholar 

  14. Pritchard DW (1967) What is estuary: the physical viewpoint. In: Lauf GH (ed) Estuaries, vol 83. American Association for the Advancement of Science Publication, Washington, pp 3–5

    Google Scholar 

  15. de Brauwere A, de Brye B, Blaise S, Deleersnijder E (2011) Residence time, exposure time and connectivity in the Scheldt Estuary. J Mar Syst 84:85–95

    Article  Google Scholar 

  16. de Brye B, de Brauwere A, Gourgue O, Deleersnijder E (2012) Water renewal timescales in the Scheldt Estuary. J Mar Syst 94:74–86

    Article  Google Scholar 

  17. Levasseur A, Shi L, Wells NC, Purdie DA, Kelly-Gerreyn BA (2007) A three-dimensional hydrodynamic model of estuarine circulation with an application to Southampton Water, UK. Estuar Coast Shelf Sci 73(3–4):753–767

    Article  Google Scholar 

  18. Li M, Trowbridge J, Geyer R (2008) Asymmetric tidal mixing due to horizontal density gradient. J Phys Oceanogr 38(2):418–434

    Article  Google Scholar 

  19. Carballo R, Iglesias G, Castro A (2009) Residual circulation in the Ria de Muros (NW Spain): a 3D numerical model study. J Mar Syst 75(1–2):116–130

    Article  Google Scholar 

  20. Li M, Zhong L (2009) Flood-ebb and spring-neap variation of mixing, stratification and circulation in Chesapeake Bay. Cont Shelf Res 29(1):4–14

    Article  Google Scholar 

  21. Cheng P, Valle-Levinson A, de Swart HE (2011) A numerical study of residual circulation induced by asymmetric tidal mixing in tidally dominated estuaries. J Geophys Res 116:C01017

    Google Scholar 

  22. Lin W, Wang YG, Ruan XH, Xu Q (2012) Modeling residual circulation and stratification in Qujiang River Estuary. China Ocean Eng 26(2):351–362

    Article  Google Scholar 

  23. Brown JM, Bolanos R, Souza AJ (2014) Process contribution to the time-varying residual circulation in tidally dominated estuarine environments. Estuar Coasts 37(5):1041–1057

    Article  Google Scholar 

  24. WRA (2002) Hydrological year book of Taiwan. Ministry of Economic Affairs, Water Resources Agency, Taipei

    Google Scholar 

  25. Liu WC, Hsu MH, Wu CR, Wang CF, Kuo AY (2004) Modeling salt intrusion in Tanshui River Estuarine system-case study contrasting now and then. J Hydraul Eng ASCE 130(9):849–859

    Article  Google Scholar 

  26. Hsu MH, Kuo AY, Kuo JT, Liu WC (1999) Procedure to calibrate and verify numerical models of estuarine hydrodynamics. J Hydraul Eng ASCE 125(2):166–182

    Article  Google Scholar 

  27. Liu WC, Hsu MH, Kuo AY (2001) Investigation of long-term transport in the Tanshui River estuary. J Waterw Port Coast Ocean Eng ASCE 127(2):61–71

    Article  Google Scholar 

  28. Liu WC, Hsu MH, Kuo AY (2002) Modelling of hydrodynamics and cohesive sediment transport in Tanshui river estuarine system, Taiwan. Mar Pollut Bull 44(10):1076–1088

    Article  Google Scholar 

  29. Zhang YL, Baptista AM (2008) SELFE: a semi-implicit Eulerian-Lagrangian finite-element model for cross-scale ocean circulation, with hybrid vertical coordinates. Ocean Model 21(3–4):71–96

    Article  Google Scholar 

  30. Zeng X, Zhao M, Dickinson RE (1998) Intercomparison of bulk aerodynamic algorithms for the computation of sea surface fluxes using TOGA COARE and TAO data. J Clim 11(10):2628–2644

    Article  Google Scholar 

  31. Pond S, Pickard GL (1998) Introductory dynamical oceanography. Butterworth-Heinmann, Oxford

    Google Scholar 

  32. Hanert E, Deleersnijder E, Blaise S, Remacle J (2007) Capturing the bottom boundary layer in finite element ocean models. Ocean Model 17(2):153–162

    Article  Google Scholar 

  33. Umlauf L, Buchard H (2003) A generic length-scale equation for geophysical turbulence models. J Mar Res 61(2):235–265

    Article  Google Scholar 

  34. Liu WC, Chen WB, Hsu MH (2010) Different turbulence models for stratified flow and salinity. Proc Inst Civil Eng Marit Eng 163(MA3):117–133

    Google Scholar 

  35. Tennekes H (1973) The logarithmic wind profile. J Atmos Sci 30(2):234–238

    Article  Google Scholar 

  36. Lambrechts J, Comblen B, Legat V, Geuzaine C, Remacle JF (2008) Multiscale mesh generation on the sphere. Ocean Dyn 58(5–6):461–473

    Article  Google Scholar 

  37. Kimura N, Liu WC, Wu CH, Bechle AJ, Chen WB, Huang WC (2011) Flow measurement with multi-instrumentation in tidal-affected river. Water Environ J 25(4):563–572

    Article  Google Scholar 

  38. Dyer KR (1997) Estuaries: a physical introduction. Wiley, Hoboken

    Google Scholar 

  39. Rippeth TP, Fisher NR, Simpson JH (2001) The cycle of turbulent dissipation in the presence of tidal straining. J Phys Oceanogr 31(8):2458–2471

    Article  Google Scholar 

  40. Basdurak NB, Valle-Levinson A, Cheng P (2013) Lateral structure of tidal asymmetry in vertical mixing and its impact on exchange flow in a coastal plain estuary. Cont Shelf Res 64:20–32

    Article  Google Scholar 

  41. Isachsen PE, Pond S (2000) The influence of the spring-neap tidal cycle on currents and density in Burrard inlet, British Columbia, Canada. Estuar Coast Shelf Sci 51(3):317–330

    Article  Google Scholar 

Download references

Acknowledgments

This project was supported by the Ministry of Science and Technology, Taiwan, under grant no. MOST 103-2625-M-239-001. The authors would like to express their thanks to the Taiwan Water Resources Agency for providing the observational data. We also appreciate two anonymous reviewers for their valuable comments to substantially improve this paper.

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Authors and Affiliations

  1. National Science and Technology Center for Disaster Reduction, New Taipei City, 23143, Taiwan

    Wei-Bo Chen

  2. Department of Civil and Disaster Prevention Engineering, National United University, Miaoli, 36003, Taiwan

    Wen-Cheng Liu

  3. Taiwan Typhoon and Flood Research Institute, National Applied Research Laboratories, Taipei, 10093, Taiwan

    Wen-Cheng Liu

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  1. Wei-Bo Chen
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Correspondence to Wen-Cheng Liu.

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Chen, WB., Liu, WC. Modeling investigation of asymmetric tidal mixing and residual circulation in a partially stratified estuary. Environ Fluid Mech 16, 167–191 (2016). https://doi.org/10.1007/s10652-015-9421-4

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  • DOI: https://doi.org/10.1007/s10652-015-9421-4

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