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Table 2.

Optimized rotation angles (in rad) for the distribution of SPH particles at the inner boundary as a function of the number of vertices or particles (Np = 10(2q − 1)2 + 2).

q Np ϑi ϑj ϑk
1 30 1.286936103 2.978630878 1.039528355
2 110 1.227187223 2.582394661 1.053604227
3 270 0.235711384 3.104772874 2.204402209
4 510 3.052314457 0.397072776 2.275006169
5 830 0.137429598 1.998606705 1.716093916
6 1230 2.904432935 1.779396863 1.041130506
10 3630 2.409130709 1.917210104 0.899557512
15 8430 1.956058284 0.110825899 1.911748564

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