This program creates a new sub-model bathimetry to allow a smooth transition in the boundary between the coarser model and the high resolution model. See also SmoothBatimCoefs.
- Create the father and son bathymetries (you may use Mohid GIS).
- Create the SmoothCoeficients griddata file (you may use SmoothBatimCoefs).
- Create and edit the options SmoothBatimNesting.dat file and save it in the same path as the executable.
- Run the executable.
Here's what the options file SmoothBatimNesting.dat looks like:
FATHER_BATIM : ..\..\WestIberiaTide\GridData.dat SON_BATIM : ..\GridData_2.dat SMOOTH_COEF : SmoothCoef.dat NEW_SON_BATIM : SmoothData.dat
Let it be , as an element of the father, the son and the interpolated bathymetries discrete fields. Let it be as the respective index mapping function. Let it be , a continuous map, so that . Let define the work domain of . In particular, verifies . The son grid is the same as the interpolated grid, meaning . However, the father field is completely independent from the other fields, meaning that . The smoothing algorithm is a simple linear interpolation of the father and son fields:
where the smoothing coefficient is given by . Thus, the smoothing coefficient gridded counterpart is defined; and its index mapping function is equal to the son's; meaning . Let us define the grid such that and . Thus the smoothing coefficient needs can be defined in . Concretely speaking, is the smoothing coefficient's Grid Data file described above, thus it leaves to the modeller the choice of the smoothing coefficient field.
Let us define a collection of four-vertices polygons taken from the father grid:
where is the subdomain defined by the vertices of . Let us define an auxiliary grid of the son grid given by:
Let us define a new mapping into a subset of 's image:
Here's the implemented smoothing algorithm: