View source for Mathematical Models for Coastal Areas and Estuaries

[[de:Modellverfahren für den Küstenbereich und Ästuare]]
The natural behaviour of coastal seas and estuaries along the german North Sea as well as Baltic Sea coast is dominated by various phenomena.

[http://www.baw.de/downloads/wasserbau/mathematische_verfahren/pdf/estuary_cl-en.pdf Simplified schematic representation (available in PDF-format, 47k)] of many important physical processes in estuaries. This graphical representation is available in [http://www.baw.de/downloads/wasserbau/mathematische_verfahren/eps/extuary_cl-en.eps.gz Encapsulated PostScript (colour) format (105k)] and [http://www.baw.de/downloads/wasserbau/mathematische_verfahren/eps/estuary_sw-en.eps.gz Encapsulated PostScript (black and white) format (105k)].

The relevant processes can be normally described using conceptual models written in the form of ordinary or partial differential equations. These equations are exact from a scientific point of view. On the other hand side they are only very simplified models compared to the complexity of the natural system under investigation.

The interested reader may find further information under the following link. The documents are provided by the [http://www.unibw.de/rz/dokumente/fakultaeten/getFILE?fid=kein&fd=1094000 University of the German Armed Forces (Bundeswehr)] and are only in German available.


This page contains a comprehensive list which shows all the mathematical models currently used at the BAW-DH.

==Hydrodynamics (water level elevation and current)==

* [[Mathematical Model DELFT3D|DELFT3D]] : integrated modelling system Delft3D
* [[Mathematical Model MIKE-11|MIKE-11]] : one-dimensional (cross-sectionally averaged) finite difference model
* [[Mathematical Model TRIM-2D|TRIM-2D]] : two-dimensional (depth averaged) finite difference model
* [[Mathematical Model TELEMAC-2D|TELEMAC-2D]] : two-dimensional (depth averaged) finite element model
* [[Mathematical Model TRIM-3D|TRIM-3D]] : three-dimensional finite difference model using the non-hydrostatic pressure distribution
* [[Mathematical Model UNTRIM|UNTRIM]] : two-/and three-dimensional finite difference method for unstructured orthogonal grids (hydrostatic and non-hydrostatic pressure)
* [[Mathematical Model UNTRIM2|UNTRIM2]] : similar to UNTRIM, but with sub grid technology for discretisation of bathymetry

==Salinity Transport==

* [[Mathematical Model DELFT3D|DELFT3D]] : integrated modelling system Delft3D
* [[Mathematical Model MIKE-11|MIKE-11]] : one-dimensional (cross-sectionally averaged) finite difference model
* [[Mathematical Model TRIM-2D|TRIM-2D]] : two-dimensional (depth averaged) finite difference model
* [[Mathematical Model TELEMAC-2D|TELEMAC-2D]] : two-dimensional (depth averaged) finite element model
* [[Mathematical Model TRIM-3D|TRIM-3D]] : three-dimensional finite difference model
* [[Mathematical Model UNTRIM|UNTRIM]] : two-/and three-dimensional finite difference method for unstructured orthogonal grids

==Sediment Transport==

* [[Mathematical Model DELFT3D|DELFT3D]] : integrated modelling system Delft3D
* [[Mathematical Model TELEMAC-2D|TELEMAC-2D]] : two-dimensional (depth averaged) finite element model
* [[Mathematical Model TRIM-2D|TRIM-2D]] : two-dimensional (depth averaged) finite difference model
* [[Mathematical Model UNTRIM|UNTRIM]] : two-/and three-dimensional finite difference method for unstructured orthogonal grids
* [[Mathematical Model SEDIMORPH|SEDIMORPH]] : morphodynamic model which simulates the physical processes in the soil under surface waters

==Heat Transport==

* [[Mathematical Model DELFT3D|DELFT3D]] : integrated modelling system Delft3D
* [[Mathematical Model UNTRIM|UNTRIM]] : two-/and three-dimensional finite difference method for unstructured orthogonal grids

==Particle Movement==

* [[Mathematical Model DELFT3D|DELFT3D]] : integrated modelling system Delft3D
* [[Mathematical Model PARTRACE|PARTRACE]] : particle tracking method for 2D-depth-averaged flowfields
* [[Mathematical Model PARTRACE-3D|PARTRACE-3D]] : particle tracking method for 3D-depth-averaged flowfields

==Waves==

* [[Mathematical Model DELFT3D|DELFT3D]] : integrated modelling system Delft3D
* [[Mathematical Model SWAN|SWAN]] : third-generation spectral wave model (developed at Delft University of Technology)
* [[Mathematical Model K-MODEL|K-MODEL]] : a spectral wave model for unstructured orthogonal grids, based on GKSS's k-model
* [[Mathematical Model WARM|WARM]] : two-dimensional finite element model which calculates the spectral energy distribution of waves
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