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Figure 4.2 shows the initial dimensionless particle size distribution along with the comparison between the numerical simulation, obtained using the first eight moments (i 1/4 0-7), and the exact solution at t 1/4 10 s.
Fig. 4.2 Particle size distribution at t 10 s computed using eight moments (This figure was originally published in Chemical Engineering Science 102, 2013 and has been reused with permission)
Fig. 4.3 Particle size distribution at t 10 s computed using ten moments (This figure was originally published in Chemical Engineering Science 102, 2013 and has been reused with permission)
Fig. 4.4 Particle size distribution at t 450 s computed using 12 moments (This figure was originally published in Chemical Engineering Science 102, 2013 and has been reused with permission)
In this case, even with a valid set of moments, particle size distribution (PSD) gains negative values at some points on the internal coordinate, known as the Gibbs phenomenon (Gottlieb and Shu 1997; Arias-Zugasti 2012).
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