Mathematical Model TRIM-2D
From BAWiki
Short Description
The mathematical model TRIM-2D is based on the finite difference method. TRIM-2D was designed to solve several depth-integrated transient nonlinear partial differential equations (pde's). The model is actually used to study one ore more of the following physical processes:
- transport of water (conservation of the water mass)
- transport of linear momentum (conservation of linear momentum)
- transport of salinity (conservation of the dissolved salt mass)
- transport of suspended sediments with consideration of resuspension and deposition at the bottom (conservation of the suspended sediment mass)
- bed load transport (a transport capacity approach is used)
- evolution of the bottom (morphodynamics) due to suspended load as well as bed load transport
TRIM-2D was jointly developed by Prof. V. Casulli (Trento University, Italy) as well as Prof. R. T. Cheng (US Geological Survey, Menlo Park, California). In the framework of a scientific cooperation TRIM-2D has been successfully installed in the year 1994 at BAW-DHs computers. It has been integrated into BAW-DHs numerical modelling toolbox and is now used on a routine basis in the context of different real-world projects concerning estuarine flow and transport processes. Meanwhile the capabilities of the model were extended and new physical processes have been included. Furthermore the program was parallelized using OpenMP-directives for SMP (symmetric multiprocessing) systems in a portable way.
Standard Validation Document
There exists a Standard Validation Document (in German only) for TRIM-2D which provides the potential user with information about the capabilities and limitations of the model. This document may be downloaded either as PDF-Version ( 2.1M) or as a compressed PostScript-Version ( 2.9M).
Preprocessors
Programs for Simulations
- TR2VOR: generation of a compact version of the bathymetry-file together with some index arrays which are required during the simulation run for optimal performance on vector computers
- TR2LQ2: generation of a profile topography which is necessary to output results from a TRIM-2D simulation run along profiles
- TRIM-2D: simulation run
Postprocessors
- Conversion of Computed Results: general purpose prostprocessors for the conversion of data.
- Analysis of Calculated Results: tidal characteristic numbers, tide-independent characteristic numbers, tidal harmonic analysis and comparative analysis.
- Spread-Sheet Calculations for Computed Results: application of the spread-sheet program MS Excel (TM) to display and modify computed results.
- TR2MODATE: modification of date and time in a hydrodynamic results file if this hydrodynamic state should be used as initial state for a different date
- TR2KACHEL: generation of sections (tiles); topography as well as data are cut into pieces out of the result files for the entire computational domain for any desired section (tile)
- PARTRACE: particle tracking within a two-dimensional depth-averaged velocity field
- GVIEW2D: graphical display of time series at selected locations
- LQ2PRO: Visualization of data along profiles
- HVIEW2D: graphical display of 2D synoptic or data analyses results
- VVIEW2D: Two-dimensional graphical representation of CFD-data for vertical sections
Example Applications
- Hydrodynamics of the Elbe Estuary: A comprehensive study concerning hydrodynamics, salt- and bedload transport in the Elbe Estuary.
- Suspended Sediment Transport: Demo-Example (available in German only).
- Animation of tidal variability of salinity in the Außenweser Estuary.
- Animation of Water Level Elevation and Flow Velocity in the Inner Jade Estuary.
- Tidal characteristic numbers of current velocity for the Weser Estuary.
- Tidal characteristic numbers of salinity for the Weser Estuary.
- Modeling the propagation of dunes in a straight channel (available in German only).
- Animation of vortex streets behind a planned storm surge barrier in the Unterems.
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