| Project: Ski jump | Customer: FIS NSF | Version: 999 | ||||||
| Scenario: Ski jump | User: VECTOR | Date: 23.05.02 17:58 | ||||||
| + | Accuracy |
|
Can a numerical model reproduce a wind field scenario as it is observed
in nature? Use of numerical models introduces inaccuracies. It is important to be aware of
these inaccuracies and their origin. In the following the primary sources of inaccuracies will
be highlighted.
Grid resolution
The numerical model uses height and roughness information from a specified grid.
The accuracy of the numerical simulation depends of the resolution of this grid.
Due to restricted computational resources this grid cannot always be constructed
with the desired resolution. Typical a resolution in the order of 100x100 meter is
used for meso scale modelling within larger areas in the order of 1000 kmxkm, while a
finer resolution in the order of 10x10 meter is necessary for micro scale modelling.
These conditions are illustrated with an example. In the below figure a mountain is
shown where half of the points used in the discrete representation have successively been removed.
The mountain at the left has 25 meter point spacing, while the same mountain with a 200
meter point spacing is found at the far right.
|
||
| Figure 1. | Discrete terrain with successive removal of points. | |
|
In a similar way the estimated wind resources will depend on the grid resolution. A wind field above an island is shown on the two figures below. The extension of the model is 3500x3800 meter and the highest top reaches 68 meter above the sea level. Even for this island with rather modest topography the wind field in the finest model reveals much more details than the model on a coarser grid.
|
||
| Figure 2. |
Wind fields at 50 meters height for models with different grid resolutions, wind direction 30 °. |
|
|
Boundary conditions The numerical model simulates the wind field in a 3D computational domain. Along the border of the computational domain information about the flow field must be supplied. These so called boundary conditions are given as fully developed flow profiles taking into account the given roughness at the border. However, the model will not have any information about the wind field outside the computational domain, any abrupt changes in topography or roughness along the border will contaminate the flow field. A border zone, where the flow field is allowed to adapt to the surroundings is introduced in order to reduce this problem. No results are presented in the border zone. In some situations there might be impossible to avoid areas with abrupt changes in topography and roughness along the border, these areas should be treated with care. If terrain and roughness information is available from larger areas than those of particular interest, an efficient nesting technique can be used. Nesting means that the results from a larger outer model are used as boundary conditions in a refined inner model. In this way the problem with inaccurate boundary conditions are eliminated in the refined model. Climatology The quality of the meteorological input data is crucial for the quality of the numerical results. If the meteorological data has been collected during a short time interval these data must be correlated to long-term nearby statistical data in order to represent the long-term wind climate in the area. The meteorological input data must also be representative for the whole computational area. Finally, it must be compatible with the scale of the numerical model, i.e. it must not contain effects from smaller or larger scales than those resolved in the numerical model. Meteorological input must be supplied for at least one point within the modelled area. WindSim has several means of assimilation if wind data from additional positions are available. Increasing the amount of wind data will of course improve the accuracy of the numerical results. |
||