-
Notifications
You must be signed in to change notification settings - Fork 0
/
fb.f90
171 lines (146 loc) · 5.62 KB
/
fb.f90
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
module fb
use iso_fortran_env, only: error_unit, real64
use ieee_arithmetic, only: ieee_is_nan
use param, only: CSPEED, EP, EE, PI
implicit none
real(kind=real64), parameter :: OMGP1 = 574745 !in 1/min
real(kind=real64), parameter :: OMGE1 = 1055307413 !in 1/min
contains
real(kind=real64) function fs0(tacc, xpk, bm, u1, densw, ob, amach, rsh, vth, pinj, pc)
real(kind=real64), intent(in) :: xpk(6)
real(kind=real64), intent(in) :: tacc, bm, u1
! densw in cm^-3, fs in cm^-3 (GeV/c)^-3,
real(kind=real64), intent(in) :: densw
real(kind=real64), intent(in) :: ob, amach, rsh
! vth thermal speed of protons with downstream Maxwellian temperature
real(kind=real64), intent(in) :: vth
real(kind=real64), intent(in out) :: pinj, pc
! fampb is amplification of upstream magnetic field
! ratkp is parallel to perpendicular diff ceof ratio
real(kind=real64) :: ecrmax, ecrmin, ob0, obw, etinj, fampb, ratkp
common /acc/ecrmax,ecrmin,ob0,obw,etinj,fampb,ratkp
real(kind=real64) :: rnz, rnm
common /specie/rnz,rnm
real(kind=real64) :: ob2, dob, obinj, sgm, facob, pth, e1c, f0, omegae
real(kind=real64) :: p1, omegap, p1inj
ob2 = atan(rsh*sin(ob)/cos(ob))
dob = amach / sqrt(40 * (1 + rsh*rsh))
obinj = max(cos(ob), 0.25d0) !min(ob2,ob2-dob)
etinj = 2.5 / obinj !injection at 3*u1
! shock slope
!rpw = rsh * (amach - 1) / (amach + 1.0*sqrt(rsh))
!if (rpw < 1.00001) rpw = 1.00001
sgm = 3*rsh/(rsh-1)
!if (sgm > 5.0) then
! skp = sgm/2 - 1
!else
! skp = 1.5
!end if
!skp = 30.0
! obliuity factor for normal diffusion coeffiecient
facob = sqrt(ratkp)
facob = facob*cos(ob)**2 + sin(ob)**2/facob
if (rnm > 0.5) then
pth = EP * vth / CSPEED !*sqrt((skp-1.5)/skp) !to kappa
! assume all species have the same thermal speed
! or temperature proportional to mass (Jacco Vink et al 2015,A&A)
pth = rnm / rnz * pth !in rigidity
p1 = EP * u1 / CSPEED
omegap = OMGP1 * bm * fampb
p1inj = etinj * p1
pinj = rnm / rnz * p1inj
e1c = hypot(EP, p1inj) + p1*p1/EP*(1-1/rsh)*tacc*omegap/facob*rnz/rnm
pc = sqrt(e1c*e1c - EP*EP) * rnm / rnz
else
! same thermal speed as protons
! no thermalization between e and p
pth = EE * vth / CSPEED
p1 = EE * u1 / CSPEED
omegae = OMGE1*bm*fampb
p1inj = etinj*p1
pinj = p1inj
e1c = hypot(EE, p1inj) + p1*p1/EE*(1-1/rsh)*tacc*omegae/facob/100
pc = sqrt(e1c*e1c-EE*EE)
end if
!ecr = (ecrmax + ecrmin - (ecrmax-ecrmin) * tanh((ob-ob0)/obw)) / 2
! only inject particles reached shock acceleration equilibrium
if (pc > xpk(4)) then
! matching distribution at pinj
f0 = densw*rsh/(PI*pth*pth)**1.5/exp((pinj/pth)**2) !Maxwellian
!f0 = densw * rsh / (PI*pth*pth)**1.5 * &
! exp(log_gamma(skp+1) - log_gamma(skp-0.5)) / skp**1.5 / &
! (1 + (pinj/pth)**2 / skp)**(skp+1)
fs0 = f0 * sgm * u1 * (1 - 1/rsh) / 3 / (xpk(4)/pinj)**sgm
if (ieee_is_nan(fs0)) then
!write(*,*) fs0, densw, rsh, pth, pinj, pc, sgm
fs0 = 0.0
end if
else
fs0 = 0.0
end if
end function
subroutine preparefb
integer :: nfbconst
real(kind=real64) :: rb0, rmax, rk, deltat, tc, tl, tmodel0
common/fbcnst/rb0,rmax,rk,deltat,tc,tl,tmodel0,nfbconst
real(kind=real64) :: sclat, sclong, scanw
namelist/fb/rb0,rmax,rk,deltat,tc,tl,tmodel0,nfbconst,sclat,sclong,scanw
character(len=256) :: dir
common/dir/dir
real(kind=real64) :: sp0, gp, ap, sp, h0
real(kind=real64) :: trgtfs(4)
common /srcmod/sp,sp0,gp,ap,trgtfs,scanw,h0
integer :: nfb
open(newunit=nfb, file=trim(dir)//'inputfb.nml', status='old')
read(nfb, nml=fb)
close(nfb)
trgtfs(1) = sin(sclat*PI/180)
if (trgtfs(1) == 0) trgtfs(1) = 1e-27
trgtfs(2) = cos(sclat*PI/180)
trgtfs(3) = sin(sclong*PI/180)
trgtfs(4) = cos(sclong*PI/180)
scanw = scanw*PI/180
end subroutine
real(kind=real64) function fb0(torg,rpb)
real(kind=real64), intent(in) :: torg, rpb(5)
!integer :: nfbconst
!real(kind=real64) :: rb0, rmax, rk, deltat, tc, tl, tmodel0
!common/fbcnst/rb0,rmax,rk,deltat,tc,tl,tmodel0,nfbconst
!real(kind=real64) :: sp0, gp, ap, sp, scanw, h0
!real(kind=real64) :: trgtfs(4)
!common /srcmod/sp,sp0,gp,ap,trgtfs,scanw,h0
!rp = rpb(4)
!if (torg < 0 .or. torg > deltat) then
! fb0 = 0.0
!else
! if (nfbconst == 0) then
! tmodel = torg + tmodel0
! fbtimes = exp(-tc/tmodel - tmodel/tl) / tmodel
! ad = cos(rpb(2)) * trgtfs(2) + sin(rpb(2)) * trgtfs(1) * &
! (cos(rpb(3)) * trgtfs(4) + sin(rpb(3)) * trgtfs(3))
! if (ad < cos(scanw)) fbtimes = 0.0
! else
! fbtimes = 1.0
! end if
! fb0 = rp2e(rp)**rk / (rp*rp) * fbtimes
!end if
fb0 = 0.0
end function
!real(kind=real64) function getdeltat()
! real(kind=real64) :: rb0, rmax, rk, deltat, tc, tl, tmodel0
! integer :: nfbconst
! common/fbcnst/rb0,rmax,rk,deltat,tc,tl,tmodel0,nfbconst
! getdeltat = deltat
!end function
!subroutine getfbcnst(rk0, deltat0, tc0, tl0, tmodel00)
! real(kind=real64), intent(out) :: rk0, deltat0, tc0, tl0, tmodel00
! integer :: nfbconst
! real(kind=real64) :: rb0, rmax, rk, deltat, tc, tl, tmodel0
! common/fbcnst/rb0,rmax,rk,deltat,tc,tl,tmodel0,nfbconst
! rk0 = rk
! deltat0 = deltat
! tc0 = tc
! tl0 = tl
! tmodel00 = tmodel0
!end subroutine
end module fb