-
Notifications
You must be signed in to change notification settings - Fork 0
/
mirdip.lua
250 lines (230 loc) · 7.42 KB
/
mirdip.lua
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
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
-- set paths to scripts
gkeyllsetup = '/home/space/liang/src/gkeyllscripts/gkeyllsetup.lua'
gkeyllutils = '/home/space/liang/src/gkeyllscripts/gkeyllutils.lua'
-- load helper functions
dofile(gkeyllutils)
----------------
-- PARAMETERS --
----------------
numMoments = {5, 5}
-- miscellaneous feature switches
hasStairSteppedBoundary = true
alwaysUseLaxSolver = true
useIntermediateWave = false
subTimeStepping = true
writeDivB = true
writeDivE = true
tEnd = 1800
nFrames = 30
Lucee.IsRestarting = false
Lucee.RestartFrame = -1
-- physical constants
gasGamma = 5/3
lightSpeed = Lucee.SpeedOfLight/40
mu0 = Lucee.Mu0
epsilon0 = 1/mu0/(lightSpeed^2)
-- planet radius
Re = 2634e3
-- radius of inner boundary
r0 = 1*Re
-- inflows parameters
n_in = 56e6
vx_in = 140e3
vy_in = 0
vz_in = 0
p_in = 3.8e-12
Bx_in = 0
By_in = 0
Bz_in = -77e-9
-- mirdip setup specfications
r_ramp1 = 2*Re
r_ramp2 = 4*Re
stretch = 2
-- kinetic parameters
mass_ratio = 25
pressure_ratio = 1
d_i_in = 0.5*Re
ionMass = 14*Lucee.ProtonMass
elcMass = Lucee.ProtonMass/mass_ratio
rho_in = n_in * (elcMass + ionMass)
ionCharge = ionMass / d_i_in / math.sqrt(mu0*rho_in)
elcCharge = -ionCharge
charge = {elcCharge, ionCharge}
mass = {elcMass, ionMass}
-- domain and grid
numDimensions = 3
xlo, xup, nx = -20*Re, 20*Re, 40*4
ylo, yup, ny = -20*Re, 20*Re, 40*4
zlo, zup, nz = -20*Re, 20*Re, 40*4
lower = {xlo, ylo, zlo}
upper = {xup, yup, zup}
cells = {nx, ny, nz}
-- computational constants
elcErrorSpeedFactor = 0
mgnErrorSpeedFactor = 1
elcErrorDampFactor = 0
mgnErrorDampFactor = 0
cfl = 0.9
-- derived parameters
v2_in = vx_in^2 + vy_in^2 + vz_in^2
rho_e_in = rho_in / (1 + mass_ratio)
p_e_in = p_in / (1 + pressure_ratio)
u_e_in = p_e_in / (gasGamma-1) + 0.5 * rho_e_in * v2_in
rho_i_in = rho_in - rho_e_in
p_i_in = p_in - p_e_in
u_i_in = p_i_in / (gasGamma-1) + 0.5 * rho_i_in * v2_in
B_in = math.sqrt(Bx_in^2 + By_in^2 + Bz_in^2)
pmag_in = B_in^2/2/mu0
vA_in = B_in/math.sqrt(mu0*rho_in)
cs_in = math.sqrt(gasGamma*p_in/rho_in)
beta_in = p_in/pmag_in
d_i_in = ionMass / ionCharge / math.sqrt(mu0*rho_in)
Ex_in = - vy_in*Bz_in + vz_in*By_in
Ey_in = - vz_in*Bx_in + vx_in*Bz_in
Ez_in = - vx_in*By_in + vy_in*Bx_in
lightSpeedScale = Lucee.SpeedOfLight / lightSpeed
elcChargeScale = -Lucee.ElementaryCharge / elcCharge
for _,param in ipairs({
"gasGamma", "lightSpeed", "mu0",
"Re", "thetaB", "phiB", "B0", "r0", "r1",
"n_in", "rho_in", "p_in", "vx_in", "vy_in", "vz_in",
"Bx_in", "By_in", "Bz_in",
"vA_in", "cs_in", "beta_in", "d_i_in",
"mass_ratio", "pressure_ratio", "elcMass", "ionMass", "elcCharge", "ionCharge",
"lightSpeedScale", "elcChargeScale",
"xlo", "xup", "nx", "ylo", "yup", "ny", "zlo", "zup", "nz",
}) do
pretty_log(param)
end
-----------------------
-- INITIAL CONDITION --
-----------------------
function calcRho(x,y,z)
local rho = rho_in
return rho
end
function calcP(x,y,z)
local p = p_in
return p
end
function calcV(x,y,z)
local xx = x > 0 and x/stretch or x
local r = math.sqrt(xx^2 + y^2 + z^2)
local s = (r-r_ramp1)/(r_ramp2-r_ramp1)
s = math.max(s, 0)
s = math.min(s, 1)
local vx = vx_in * s
local vy = vy_in * s
local vz = vz_in * s
return vx, vy, vz
end
function calcB(x,y,z)
return Bx_in, By_in, Bz_in
end
function init(x,y,z)
local rho = calcRho(x,y,z)
local vx,vy,vz = calcV(x,y,z)
local p = calcP(x,y,z)
local rho_e = rho / (1 + mass_ratio)
local rho_i = rho - rho_e
local rhovx_e = rho_e * vx
local rhovy_e = rho_e * vy
local rhovz_e = rho_e * vz
local rhovx_i = rho_i * vx
local rhovy_i = rho_i * vy
local rhovz_i = rho_i * vz
local p_e = p / (1 + pressure_ratio)
local p_i = p - p_e
local u_e = p_e / (gasGamma-1) +
0.5 * (rhovx_e^2 + rhovy_e^2 + rhovz_e^2) / rho_e
local u_i = p_i / (gasGamma-1) +
0.5 * (rhovx_i^2 + rhovy_i^2 + rhovz_i^2) / rho_i
local Bx, By, Bz = calcB(x, y, z)
local Ex = - vy*Bz + vz*By
local Ey = - vz*Bx + vx*Bz
local Ez = - vx*By + vy*Bx
return rho_e, rhovx_e, rhovy_e, rhovz_e, u_e,
rho_i, rhovx_i, rhovy_i, rhovz_i, u_i,
Ex, Ey, Ez, Bx, By, Bz, 0, 0
end
function setInOutField(x, y, z)
if (math.sqrt(x^2 + y^2 + z^2) < r0) then
return -1
else
return 1
end
end
------------------------
-- BOUNDARY CONDITION --
------------------------
-- FIXME allow pressure or total energy to float for subsonic inflow BC?
inflowBcElc = BoundaryCondition.Const {
components = {0, 1, 2, 3, 4},
values = {rho_e_in, rho_e_in*vx_in, rho_e_in*vy_in, rho_e_in*vz_in, u_e_in},
}
inflowBcIon = BoundaryCondition.Const {
components = {5, 6, 7, 8, 9},
values = {rho_i_in, rho_i_in*vx_in, rho_i_in*vy_in, rho_i_in*vz_in, u_i_in},
}
inflowBcE = BoundaryCondition.Const {
components = {10, 11, 12},
values = { Ex_in, Ey_in, Ez_in },
}
bcInflowB = BoundaryCondition.Const {
components = {13, 14, 15},
values = { Bx_in, By_in, Bz_in },
}
inflowBcPot = BoundaryCondition.Copy { components = {16, 17} }
function createInflowBc()
return Updater.Bc3D {
onGrid = grid,
boundaryConditions = {
inflowBcElc, inflowBcIon, inflowBcE, inflowBcB, inflowBcPot
},
dir = 0,
edge = 'lower',
}
end
bcElcCopy = BoundaryCondition.Copy { components = {0, 4} }
bcElcWall = BoundaryCondition.ZeroNormal { components = {1, 2, 3} }
bcIonCopy = BoundaryCondition.Copy { components = {5, 9} }
bcIonWall = BoundaryCondition.ZeroNormal { components = {6, 7, 8} }
bcEConduct = BoundaryCondition.ZeroTangent { components = {10, 11, 12} }
bcBConduct = BoundaryCondition.ZeroNormal { components = {13, 14, 15} }
bcPotCopy = BoundaryCondition.Copy { components = {16, 17}, fact = {1, 1} }
function createInnerBc()
return Updater.StairSteppedBc3D {
onGrid = grid,
inOutField = inOutField,
boundaryConditions = {
bcElcCopy, bcElcWall, bcIonCopy, bcIonWall,
bcEConduct, bcBConduct, bcPotCopy,
}
}
end
function applyBc(myQ, tCurr, myDt, dir)
if not inflowBc then
inflowBc = createInflowBc()
end
runUpdater(inflowBc, tCurr, myDt, nil, {myQ}, nil)
myQ:applyCopyBc(0, "upper")
myQ:applyCopyBc(1, "lower")
myQ:applyCopyBc(1, "upper")
myQ:applyCopyBc(2, "lower")
myQ:applyCopyBc(2, "upper")
if not innerBc then
innerBc = createInnerBc()
end
runUpdater(innerBc, tCurr, myDt, nil, {myQ}, dir)
myQ:sync()
end
-----------
-- SETUP --
-----------
dofile(gkeyllsetup)
-------------------
-- TIME-STEPPING --
-------------------
tStart = 0
initDt = 100
runSimulation(tStart, tEnd, nFrames, initDt)