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A key aspect of the present SPH approach is the periodic reinitialization (remeshing) of the particle locations, which are being distorted by the flow map.
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Multiple flow maps are constructed from a particle trace that is released at a single initial time by mapping and interpolating the flow map formed by the locations of the fluid tracers after finite time integration to a unit square master element and to the quadrature nodes within the element, respectively.
This is derived from the code that was described in the Flow Map Layout paper that appeared in Infovis 2005, by Doantam Phan, Ling Xiao, Ron Yeh, Terry Winograd, and Pat Hanrahan.
In the flow map, origins and destinations are connected to each other by a straight or curved line.
The heat flow pattern in China can be illustrated by the heat flow map of Figure 1.
The vital signs of embryos can be feasibly assessed by the blood flow map with enough spatial and temporal resolution.
It shows that the vasculature of a developing embryo can be noninvasively detected as early as on the second day of incubation, and the vital signs of embryos can be distinguished easily by the blood flow map.
The deformation gradient tensor, defined by the deformation of the Lagrangian flow map in finite time, is determined per element with high-order dG operators.
Thus, by studying the heat flow map, regions of gravity highs and lows can be identified within the Chad basin.
The faster the blood in vessels flows, the redder it appears in the blood flow map.
The air flow rate Wcp is determined by the compressure ratio and rotation speed from the compressor flow map.
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