ρ(x,y,z)= | 1-sin(πz/2)+α(1+ρ_{r}((x^{2}+y^{2})^{½})) |
2(1+α) |
C¹ on FCC | C² on BCC | C¹ on Cartesian | C² on Cartesian | |
filter | 6-dir. box spline | 8-dir. box spline [2][3] | tri-quadratic B-spline | tri-cubic B-spline |
degree of filter | 3 | 5 | 6 | 9 |
approx. order | 3 | 4 | 3 | 4 |
stencil size | 16 | 32 | 3³=27 | 4³=64 |
density | C¹ on FCC | C² on BCC | C¹ on Cartesian | C² on Cartesian |
(0.03)^{-3} | ||||
(0.05)^{-3} | ||||
(0.06)^{-3} | ||||
(0.07)^{-3} | ||||
(0.08)^{-3} | ||||
(0.09)^{-3} |
density | C¹ on FCC | C² on BCC | C¹ on Cartesian | C² on Cartesian |
(0.05)^{-3} | ||||
(0.06)^{-3} | ||||
(0.07)^{-3} | ||||
(0.08)^{-3} | ||||
(0.09)^{-3} |
density | C¹ on FCC | C² on BCC |
(0.07)^{-3} |
density | FCC|BCC | FCC|BCC |
(0.05)^{-3} | ||
(0.06)^{-3} | ||
(0.07)^{-3} | ||
(0.08)^{-3} | ||
(0.09)^{-3} |
density | C¹ on FCC | C² on BCC |
(0.05)^{-3} | ||
(0.06)^{-3} | ||
(0.07)^{-3} | ||
(0.08)^{-3} | ||
(0.09)^{-3} | ||
density | C¹ on FCC | C² on BCC |
(0.05)^{-3} | ||
(0.06)^{-3} | ||
(0.07)^{-3} | ||
(0.08)^{-3} | ||
(0.09)^{-3} |
↓ C¹ on Cartesian (256×256×512, density=1) |
lattice units = (0.78125,0.390625,1) |
↓ C¹ on Cartesian (100×100×200, density=1/(256/100)³=0.0596) |
lattice units = ×(256/100) |
↓ C¹ on FCC (63×63×126×4, density=4/(2*(256/126))³=0.0596) |
lattice units = ×(256/126) |
↓ C¹ on Cartesian (cut in half, 100×100×200, density=1/(256/100)³=0.0596) |
lattice units = ×(256/100) |
↓ C¹ on FCC (cut in half, 63×63×126×4, density=4/(2*(256/126))³=0.0596) |
lattice units = ×(256/126) |
↓ C¹ on Cartesian (120×120×242, density=1/(256/120)³=0.1030) |
lattice units = ×(256/120) |
↓ C¹ on FCC (75×75×150×4, density=4/(2*(256/150))³=0.1006) |
lattice units = ×(256/150) |
C¹ on Cartesian | C¹ on FCC |
120×120×242 | 75×75×150×4 |
0.1016 | 0.0998 |