Mathematical Model TRIM-2D: Difference between revisions
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[[de: Mathematisches Verfahren TRIM-2D]] | [[de: Mathematisches Verfahren TRIM-2D]] | ||
==Short Description== | ==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: | The mathematical [[model]] [[Trim|TRIM]]-2D is based on the finite difference method. [[Trim|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 water (conservation of the water mass) | ||
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# transport of salinity (conservation of the dissolved salt mass) | # 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) | # 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) | # [[bed load]] transport (a transport capacity approach is used) | ||
# evolution of the bottom (morphodynamics) due to suspended load as well as bed load transport | # 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. | [[Trim|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|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 [http://openmp.org/wp/ OpenMP]-directives for SMP ([http://burks.brighton.ac.uk/burks/foldoc/5/114.htm symmetric multiprocessing]) systems in a portable way. | Furthermore the program was parallelized using [http://openmp.org/wp/ OpenMP]-directives for SMP ([http://burks.brighton.ac.uk/burks/foldoc/5/114.htm symmetric multiprocessing]) systems in a portable way. | ||
==Standard Validation Document== | ==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 [http://www.baw.de/downloads/wasserbau//mathematische_verfahren/Modellverfahren/pdf/trim2d1.pdf PDF-Version] | There exists a Standard Validation Document (in German only) for [[Trim|TRIM]]-2D which provides the potential user with information about the capabilities and limitations of the [[model]]. This document may be downloaded either as [http://www.baw.de/downloads/wasserbau//mathematische_verfahren/Modellverfahren/pdf/trim2d1.pdf PDF-Version] or as a compressed [http://www.baw.de/downloads/wasserbau/mathematische_verfahren/Modellverfahren/zip/trim2d.zip PostScript-Version]. | ||
==Preprocessors== | ==Preprocessors== | ||
* [[Generation of Boundary Conditions]] | * [[Generation of Boundary Conditions]] | ||
* [[Generation and Modification of Computational Grids]] | * [[Generation and Modification of Computational Grids]] | ||
==Programs for Simulations== | ==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 | * [[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 | * [[TR2LQ2]]: generation of a profile topography which is necessary to output results from a [[Trim|TRIM]]-2D simulation run along profiles | ||
* [[TRIM-2D]]: simulation run | * [[TRIM-2D]]: simulation run | ||
==Postprocessors== | ==Postprocessors== | ||
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* [[Analysis of Calculated Results]]: tidal characteristic numbers, tide-independent characteristic numbers, tidal harmonic analysis and comparative analysis. | * [[Analysis of Calculated Results]]: tidal characteristic numbers, tide-independent characteristic numbers, tidal harmonic analysis and comparative analysis. | ||
* [[EXCEL-Applications|Spread-Sheet Calculations for Computed Results]]: application of the spread-sheet program MS Excel (TM) to display and modify computed results. | * [[EXCEL-Applications|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 | * [[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) | * [[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) | ||
| Line 34: | Line 35: | ||
* [[VVIEW2D]]: Two-dimensional graphical representation of CFD-data for vertical sections | * [[VVIEW2D]]: Two-dimensional graphical representation of CFD-data for vertical sections | ||
==Example Applications== | ==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). | * Suspended [[Sediment transport|Sediment Transport]]: Demo-Example (available in German only). | ||
* [[Example: Animation of Salinity in the Außenweser Estuary|Animation of tidal variability of salinity in the Außenweser Estuary]]. | * [[Example: Animation of Salinity in the Außenweser Estuary|Animation of tidal variability of salinity in the Außenweser Estuary]]. | ||
* [[Example: Animation of Water Level Elevation and Flow Velocity in the Inner Jade Estuary|Animation of Water Level Elevation and Flow Velocity in the Inner Jade Estuary]]. | * [[Example: Animation of Water Level Elevation and Flow Velocity in the Inner Jade Estuary|Animation of Water Level Elevation and Flow Velocity in the Inner Jade Estuary]]. | ||
* [[Tidal Characteristic Numbers of Current|Tidal characteristic numbers of current velocity for the Weser Estuary]]. | * [[Tidal Characteristic Numbers of Current|Tidal characteristic numbers of current velocity for the Weser Estuary]]. | ||
* [[Tidal characteristic numbers of salinity for the Weser Estuary]]. | * [[Tidal Characteristic Numbers of Salinity|Tidal characteristic numbers of salinity for the Weser Estuary]]. | ||
* Modeling the propagation of dunes in a straight channel (available in German only). | * 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]]. | * [[Example: Vortex Streets behind a planned Storm Surge Barrier in the Unterems|Animation of vortex streets behind a planned storm surge barrier in the Unterems]]. | ||
---- | ---- | ||
back to [[Mathematical Models for Coastal Areas and Estuaries]] | back to [[Mathematical Models for Coastal Areas and Estuaries]] | ||
---- | ---- | ||
[[Overview]] | [[Overview]] | ||
Latest revision as of 09:28, 21 October 2022
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 or as a compressed PostScript-Version.
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.
back to Mathematical Models for Coastal Areas and Estuaries