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AQAAAACAAABABgAAEwYAAA==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AQAAAACAAABABgAAJAYAAA==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AQAAAACAAABABgAADgYAAA==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CylinderKnMa/Kn0p08/simulation0064_Kn0p08Ma3p3/config.txt ADDED
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1
+ variable BZ equal 1.380649E-23
2
+ variable PI equal 3.1415926536
3
+ variable molecular_mass equal 6.63E-26
4
+ variable molecular_diameter equal 4.17E-10
5
+ variable gamma equal 1.666666667
6
+ variable R equal ${BZ}/${molecular_mass}
7
+ variable L equal 1.0
8
+ variable xmin equal -5.0
9
+ variable xmax equal 6.0
10
+ variable ymin equal -5.0
11
+ variable ymax equal 5.0
12
+ variable Kn equal 0.08
13
+ variable Ma equal 3.3
14
+ variable To equal 273.0
15
+ variable Tb equal 273.0
16
+ variable theta equal 0.0
17
+ variable mfp equal ${Kn}*${L}
18
+ variable cpmfp equal 4
19
+ variable nden equal 1.0/sqrt(2.0)/${PI}/${molecular_diameter}/${molecular_diameter}/(${mfp}/${cpmfp}*${Kn})
20
+ variable sos equal sqrt(${gamma}*${R}*${To})
21
+ variable vo equal ${Ma}*${sos}
22
+ variable vx equal ${vo}*cos(${theta}*2*PI/360)
23
+ variable vy equal ${vo}*sin(${theta}*2*PI/360)
24
+ variable ppc equal 30
25
+ variable xncells equal (${xmax}-${xmin})/${mfp}*${cpmfp}
26
+ variable yncells equal (${ymax}-${ymin})/${mfp}*${cpmfp}
27
+ variable Fnum equal ${nden}*(${xmax}-${xmin})*(${ymax}-${ymin})/${ppc}/${xncells}/${yncells}
28
+ variable tstep equal (-${xmin}+${xmax})/${vx}/${xncells}/10/4
29
+ variable nave equal 10000
30
+ variable noutput equal 300000
31
+ clear
32
+ shell mkdir output
33
+ shell mkdir grid
34
+ shell mkdir surf
35
+ seed 7
36
+ dimension 2
37
+ global nrho ${nden}
38
+ global fnum ${Fnum}
39
+ timestep ${tstep}
40
+ global gridcut 1.0 particle/reorder 100 comm/sort yes
41
+ region 1 cylinder z 0.0 0.0 3.50 -0.5 0.5
42
+ region 2 cylinder z 0.0 0.0 2.00 -0.5 0.5
43
+ region 3 cylinder z 0.0 0.0 0.80 -0.5 0.5
44
+ boundary o o p
45
+ create_box ${xmin} ${xmax} ${ymin} ${ymax} -0.5 0.5
46
+ create_grid ${xncells} ${yncells} 1 levels 4 region 2 1 2 2 1 region 3 2 2 2 1 region 4 3 2 2 1 clump xyz
47
+ balance_grid rcb cell
48
+ species gas.species Ar
49
+ mixture air Ar frac 1.0
50
+ mixture air Ar vstream ${vx} ${vy} 0.0 temp ${To}
51
+ collide vss air gas.vhs
52
+ collide_modify vremax 100 yes remain no nearcp yes 10
53
+ read_surf cylinder.surf
54
+ surf_collide 1 diffuse 273.0 1.0
55
+ surf_modify all collide 1
56
+ fix in emit/face air xlo ylo yhi
57
+ balance_grid rcb cell
58
+ create_particles air n 0
59
+ stats 10000
60
+ stats_style step cpu np nattempt ncoll nscoll npave nscollave
61
+ run 200000
62
+ compute 1 grid all air n nrho massrho u v w
63
+ compute 2 grid all air trot
64
+ compute 3 tvib/grid all air
65
+ compute 4 thermal/grid all air press temp
66
+ fix 1 ave/grid all 1 ${nave} ${nave} c_1[*] c_4[*] c_2[*] c_3[*] ave running
67
+ dump 1 grid all ${noutput} output/grid.*.dat id xc yc f_1[*]
68
+ dump_modify 1 format float %12.5g
69
+ compute 5 surf all air n press px py shx shy fx fy etot erot evib
70
+ fix 2 ave/surf all 1 ${nave} ${nave} c_5[*] ave running
71
+ dump 2 surf all ${noutput} output/surf.*.dat id v1x v1y v2x v2y f_2[*]
72
+ dump_modify 2 format float %12.5g
73
+ compute 6 lambda/grid f_1[2] f_1[8] Ar kx
74
+ dump 3 grid all ${noutput} output/lambdakn.*.dat id xc yc c_6[*]
75
+ dump_modify 3 format float %12.5g
76
+ run 100000
77
+ write_grid grid/final-grid.dat
78
+ write_surf surf/geom.surf
CylinderKnMa/Kn0p08/simulation0064_Kn0p08Ma3p3/cylinder.surf ADDED
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391
+ 181 181 182
392
+ 182 182 183
393
+ 183 183 184
394
+ 184 184 185
395
+ 185 185 186
396
+ 186 186 187
397
+ 187 187 188
398
+ 188 188 189
399
+ 189 189 190
400
+ 190 190 191
401
+ 191 191 192
402
+ 192 192 193
403
+ 193 193 194
404
+ 194 194 195
405
+ 195 195 196
406
+ 196 196 197
407
+ 197 197 198
408
+ 198 198 199
409
+ 199 199 200
410
+ 200 200 1
CylinderKnMa/Kn0p08/simulation0064_Kn0p08Ma3p3/gas.species ADDED
@@ -0,0 +1,14 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ # Species data
2
+
3
+ # species name
4
+ # molecular weight (atomic mass units, e.g. 16 for oxygen)
5
+ # molecular mass (kg)
6
+ # rotational degrees of freedom (integer, unitless)
7
+ # inverse rotational relaxtion number (unitless)
8
+ # vibrational degrees of freedom (integer, unitless)
9
+ # inverse vibrational relaxation number (unitless)
10
+ # vibrational temperature (K)
11
+ # species weight (unitless)
12
+ # multiple of electon charge (1 for a proton)
13
+
14
+ Ar 39.95 6.63E-26 0 0.0 0 0.0 0.0 1.0 0.0
CylinderKnMa/Kn0p08/simulation0064_Kn0p08Ma3p3/gas.vhs ADDED
@@ -0,0 +1,9 @@
 
 
 
 
 
 
 
 
 
 
1
+ # VHS collision model parameters for each species
2
+
3
+ # species name
4
+ # diameter (m)
5
+ # omega (unitless)
6
+ # tref (referenced temperature)
7
+ # alpha (unitless)
8
+
9
+ Ar 4.17e-10 0.81 273 1.0