The dynamics of turbidity zones in tidal estuaries ¡

Hans Burchard and Manuel Ruiz Villarreal [email protected].

1. Baltic Sea Research Institute Warnemunde,¨ 2. Institute for Oceanography, University of Hamburg, Germany

GHAMES-Seminar in Liege,` June 13, 2002 – p.1/19 Program of the talk

Phenomenology

Conceptual models

Numerical simulations (historical)

Numerical simulations (recent)

Conclusions

GHAMES-Seminar in Liege,` June 13, 2002 – p.2/19 Map of the tidal

54°10'

WGE Be 10.96

Trischen

Großer Vogelsand Friedrichskoog Gelbsand 54°00'

740

Scharhörn 730 Nord-Ostsee-Kanal Neufelder Brunsbüttel Stör Sand Neuwerk Medemsand 700 720 710 690 Cuxhaven 53°50' Gr. Knechtsand Medemgrund 680

Medem Glückstadt

Wischh. Süderelbe 670

Krückau

Oste Pagensand Pinnau 660 53°40'

Stade

650 640 Watt 630 Hamburg Schwinge

Strom-km 700 Lühe Mühlen- berger Loch 0 10km 53°30' Este

8°10' 20' 30' 40' 50' 9°00' 10' 20' 30' 40' 50' 10°00'

GHAMES-Seminar in Liege,` June 13, 2002 – p.3/19 Phenomenology SPM observations in the tidal Elbe

Pers. comm. Jens Kappenberg

GHAMES-Seminar in Liege,` June 13, 2002 – p.4/19 Phenomenology SPM observations in the tidal Elbe

Pers. comm. Jens Kappenberg

GHAMES-Seminar in Liege,` June 13, 2002 – p.5/19 Phenomenology SPM observations in Columbia River Salinity

SPM

Pers. comm. David Jay, Phillip Orton

GHAMES-Seminar in Liege,` June 13, 2002 – p.6/19 Classical conceptual models

Flocculation of riverine colloids due to the ion content of the saline sea water (Lucht [1953]).

"The peculiar process of mixing between riverine and marine water in the tidal zone works as a SPM trap." (Postma und Kalle [1955]).

Schoellhamer & Burau, 1998

GHAMES-Seminar in Liege,` June 13, 2002 – p.7/19 Classical conceptual models Density currents from numerical lock exchange ¢

¡ h § ¦ £¥¤ / kg m 5

-5 4 3 -10

z / m 2

-15 1

0 PSfrag replacements 10 20 30 40 50 60 x / km

GHAMES-Seminar in Liege,` June 13, 2002 – p.8/19 Conceptual model

Jay & Musiak, 1994

GHAMES-Seminar in Liege,` June 13, 2002 – p.9/19 Computer simulations

Burchard & Baumert, 1998

GHAMES-Seminar in Liege,` June 13, 2002 – p.10/19 Computer simulations

Burchard & Baumert, 1998

GHAMES-Seminar in Liege,` June 13, 2002 – p.11/19 Computer simulations

Burchard & Baumert, 1998

GHAMES-Seminar in Liege,` June 13, 2002 – p.12/19 GETM Three dimensional, hydrostatic, free surface, baroclinic

Mode-splitting, Arakawa-C grid

Horizontal coord.: Cartesian, spherical or orthogonal

Vertical coord.: Sigma, z-levels or generalized

Turbulence closures from GOTM (http://www.gotm.net)

Various advection schemes for momentum and tracers

Stable drying and flooding algorithm

Burchard & Bolding, 2002

GHAMES-Seminar in Liege,` June 13, 2002 – p.13/19 Suspended matter module Transport equation:  ¥§¦ ¨ ¥§ ¨ ¥§ ¥ ¨ ¨ ¥§ ¨

¤£ ¤© ¤ ¤ ¡ ¡ ¡ ¡ ¡  ¢ ¢ ¢



 (1)

Bottom boundary condition: 

¡ ¡  

 

  (2)

Erosion & sedimentation flux: ¡ 

  !  ¥  ¨#" ¥  ¨        

     (3)    

Bottom SPM pool: ¥ ¨

$  % 

 (4)

GHAMES-Seminar in Liege,` June 13, 2002 – p.14/19 Two-dimensional experiments

Salinity and SPM (click for animation), no advection of turbulence

Salinity and eddy diffusivity (click for animation), no advection of turbulence

Salinity and eddy diffusivity (click for animation), with advection of turbulence

GHAMES-Seminar in Liege,` June 13, 2002 – p.15/19 Idealised bathymetry

GHAMES-Seminar in Liege,` June 13, 2002 – p.16/19 Three-dimensional experiment

Salinity and SPM, longitudinal section (click for animation)

Salinity, SPM and velocity, surface view (click for animation)

Salinity and velocity, cross-sectional view (click for animation)

GHAMES-Seminar in Liege,` June 13, 2002 – p.17/19 Conclusions

In many estuaries, turbidity maxima (ETMs) are observed at the tip of the salt intrusion.

These types of ETMs have been numerically simulated with different 2D- and 3D-models.

Two major ETM generation mechanisms have been pinpointed, residual gravitational circulation and tidal velocity asymmetry.

Even in idealised 3D cases, complex secondary ¯ows occur and strongly in¯uence the ETM dynamics.

GHAMES-Seminar in Liege,` June 13, 2002 – p.18/19 Future work

Detailed numerical analysis of ETM dynamics in three dimensions.

Numerical analysis of turbulence advection.

Application of the model to process studies in the tidal Elbe by using a curvi-linear orthogonal grid.

GHAMES-Seminar in Liege,` June 13, 2002 – p.19/19