Created
February 18, 2015 15:21
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sp3 BAH/CHI discontinuity at BAH=0
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library(dplyr) | |
library(ggplot2) | |
bah_chi_compute_energy_sp3_talaris2013 <- function( | |
bah, | |
chi, | |
acc_don_scale | |
) { | |
acc_don_scale * 0.25 * (1 + cos(chi)) / 2 | |
} | |
bah_chi_compute_energy_sp3_talaris2014 <- function( | |
bah, | |
chi, | |
acc_don_scale, | |
pinch | |
) { | |
acc_don_scale * (bah/(pinch + bah)) * 0.25 * (1 + cos(chi)) / 2 | |
} | |
d <- expand.grid( | |
bah=seq(0, 2*pi, length.out=50), # 0 ~ linear | |
chi=seq(0,2*pi, length.out=50)) | |
d <- rbind( | |
d %>% mutate(fn="talaris2013", energy = bah_chi_compute_energy_sp3_talaris2013(bah, chi, 1)), | |
d %>% mutate(fn="talaris2014 .1", energy = bah_chi_compute_energy_sp3_talaris2014(bah, chi, 1, .1)), | |
d %>% mutate(fn="talaris2014 .2", energy = bah_chi_compute_energy_sp3_talaris2014(bah, chi, 1, .2)), | |
d %>% mutate(fn="talaris2014 .25", energy = bah_chi_compute_energy_sp3_talaris2014(bah, chi, 1, .25)), | |
d %>% mutate(fn="talaris2014 .3", energy = bah_chi_compute_energy_sp3_talaris2014(bah, chi, 1, .3)), | |
d %>% mutate(fn="talaris2014 .4", energy = bah_chi_compute_energy_sp3_talaris2014(bah, chi, 1, .4)), | |
d %>% mutate(fn="talaris2014 .5", energy = bah_chi_compute_energy_sp3_talaris2014(bah, chi, 1, .5)), | |
d %>% mutate(fn="talaris2014 .8", energy = bah_chi_compute_energy_sp3_talaris2014(bah, chi, 1, .8)), | |
d %>% mutate(fn="talaris2014 1", energy = bah_chi_compute_energy_sp3_talaris2014(bah, chi, 1, 1))) | |
p <- ggplot( data=d) + theme_bw() + | |
geom_tile(aes(x=bah, y=chi, fill=energy)) + | |
scale_fill_gradient(low="blue", high="yellow") + | |
stat_contour(aes(x=bah, y=chi, z=energy), bins=15) + | |
scale_x_continuous("bah", breaks=c(0, pi/2, pi, 3*pi/2, 2*pi), labels=c("0", "pi/2", "pi", "3pi/2", "2pi")) + | |
scale_y_continuous("chi", breaks=c(0, pi/2, pi, 3*pi/2, 2*pi), labels=c("0", "pi/2", "pi", "3pi/2", "2pi")) + | |
facet_wrap(~fn) + | |
ggtitle("sp3 BAH/CHI potential discontinuity") | |
p | |
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