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In order to couple the susceptibility model material volumes to the inputs in the Titan2D toolkit, the Titan2D code was modified to add support for user defined pile heights in the form of a geographical information system (GIS) raster file.
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The rate of pile yarn feed from the creel governs pile height.
Different pile height effects are produced in tufted carpets by using different rates of yarn feed, and are sometimes emphasized by alternating the colours and hiding the colour of low pile under adjacent high pile.
There is a fairly small window separating the pile height that would produce magnetic superchrons and the pile height that would produce hyper-reversing dynamos.
GIS raster files of mobilised material depths from the susceptibility simulations were used as the pile height input in Titan2D.
Amit and Olson (2015) determined the amplitudes of mean heat flux and heterogeneity in their dynamo models based on their analytical piles model as functions of pile height.
The main inputs required for this method is a digital elevation model (DEM), initial height and area of the mixture (pile height) and basal and internal friction values.
Amit and Olson (2015) showed that in both scenarios increasing pile height increases the mean CMB heat flux, the amplitude of its heterogeneity, and the resulting reversal frequency.
Figure 12 shows the non-dimensional reversal frequency as functions of pile height and mean outer boundary heat flux for the rotated ({Y_{2}^{0}}) (Fig. 11) dynamos.
Based on these assumptions, they derived analytically the dependence of the mean CMB heat flux and the amplitude of its lateral heterogeneity on the pile height.
Fig. 12 Non-dimensional reversal frequency vs. non-dimensional pile height a and vs. non-dimensional mean CMB heat flux b in the set of dual pile (rotated ({Y_{2}^{0}})) dynamo models.
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