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Professor Yoshiyuki Saito,
Waseda University,
Department of Materials Science and Engineering,
Tokyo,
Japan
E-mail: yoshi@dice.cache.waseda.ac.jp
Added to MAP: October 2000.
Simulation of one-dimensional spinodal decomposition in iron--chromium alloys. The program is based on the Cahn-Hilliard equation and is intended as an illustration for teaching purposes.
| Language: | FORTRAN |
| Product form: | Source code |
Complete program.
Simulation of one-dimensional spinodal decomposition in iron--chromium alloys. The program is based on the Cahn-Hilliard equation and is intended as an illustration for teaching purposes.
The output consists of a string of numbers, the first set of which identifies the initial distribution of chemical composition. The subsequent sets are all preceded by a value of time in seconds, followed by the string of numbers showing the new chemical composition at each location.
Please use the program within the input ranges specified. This is to ensure stability of solutions. Every calculation will use the time values 900, 1800, 3600, 7200, 18000, 36000, 72000, 180000, 360000, 720000 seconds, up to the maximum value specified in the input.
No information supplied.
None.
Complete program.
Data are provided as dynamic inputs: temperature (in this example 850 K), composition (in this example 0.49) and maximum value of time (in this example 7200 s).
Initial distribution of solute
0.511703 0.514240 0.528584 0.501890 0.493562 0.517719 0.494370
0.519690 0.505608 0.496655 0.502980 0.530341 0.504545 0.508784
0.507759 0.521648 0.490910 0.519797 0.497697 0.519352 0.523913
0.532150 0.524744 0.503600 0.511440 0.489043 0.506313 0.500277
0.524654 0.503148 0.502407 0.497484 0.488080 0.510785 0.518114
0.486905 0.494200 0.500652 0.530931 0.530165 0.493544 0.517725
0.493109 0.500440 0.509363 0.492298 0.508852 0.498533 0.527558
0.493694 0.486937 0.494563 0.511516 0.509340 0.517763 0.494244
0.491878 0.498637 0.525964 0.530292 0.531415 0.521756 0.497575
0.528942 0.515034 0.493747 0.532338 0.501198 0.514337 0.513181
0.521296 0.509273 0.527666 0.516331 0.498858 0.508111 0.494940
0.505895 0.520247 0.511672 0.487345 0.504944 0.513949 0.484415
0.522326 0.485877 0.508888 0.507580 0.503476 0.524213 0.486880
0.520792 0.485174 0.527708 0.509877 0.488342 0.512552 0.490057
0.522469 0.490516 0.486448
Time: 900
0.508888 0.516131 0.519140 0.517028 0.511128 0.504212 0.499187
0.497924 0.500739 0.506486 0.512981 0.517640 0.518302 0.514180
0.506644 0.499246 0.496364 0.500853 0.512031 0.525435 0.534977
0.536159 0.528193 0.514442 0.501051 0.493689 0.494394 0.500870
0.508258 0.512005 0.510061 0.503417 0.495241 0.489359 0.488742
0.494432 0.504992 0.516701 0.524943 0.526295 0.520189 0.509401
0.498945 0.493384 0.494240 0.499392 0.504794 0.507236 0.506207
0.503582 0.501628 0.501046 0.500680 0.499077 0.496462 0.495278
0.498613 0.507632 0.520059 0.531135 0.536420 0.534099 0.525553
0.514500 0.505231 0.500707 0.501673 0.506975 0.514381 0.521316
0.525442 0.525229 0.520526 0.512911 0.505303 0.500637 0.500271
0.503255 0.506969 0.508724 0.507284 0.503416 0.499252 0.496976
0.497638 0.500745 0.504722 0.507874 0.509290 0.509191 0.508605
0.508556 0.509276 0.509923 0.509065 0.505718 0.500296 0.494817
0.492029 0.493889 0.500298
Time: 1800
0.513830 0.527954 0.533885 0.529382 0.516142 0.499549 0.486789
0.483516 0.491265 0.506701 0.522788 0.532018 0.529851 0.516553
0.497700 0.482453 0.479071 0.490725 0.513609 0.538097 0.554003
0.555501 0.542002 0.518191 0.493812 0.479333 0.479862 0.492973
0.510247 0.521586 0.520553 0.507276 0.488308 0.473466 0.470647
0.482299 0.504419 0.527868 0.543160 0.545173 0.534068 0.514576
0.494644 0.481871 0.479755 0.486906 0.498684 0.509712 0.516197
0.516827 0.512158 0.503660 0.493315 0.483733 0.478158 0.479833
0.490620 0.509262 0.530717 0.548145 0.556143 0.552216 0.536925
0.514597 0.493178 0.480855 0.481872 0.495040 0.514455 0.532085
0.541586 0.540468 0.529983 0.514451 0.499961 0.491778 0.491872
0.498308 0.506521 0.511741 0.511342 0.505880 0.498473 0.492956
0.491832 0.495190 0.501066 0.506851 0.510843 0.512964 0.514265
0.515678 0.516929 0.516411 0.512188 0.503592 0.492408 0.482670
0.478905 0.483882 0.496983
Time: 3600
0.561508 0.601659 0.609607 0.584193 0.526884 0.459005 0.415685
0.413324 0.452836 0.520134 0.578987 0.602425 0.584352 0.527029
0.454296 0.406381 0.401816 0.443175 0.519055 0.589941 0.626815
0.629095 0.598088 0.534061 0.460391 0.416727 0.418643 0.462071
0.524994 0.568968 0.570669 0.528455 0.462472 0.411024 0.396778
0.425140 0.492417 0.568463 0.616618 0.629493 0.609169 0.553457
0.475184 0.413125 0.389991 0.406517 0.460144 0.532892 0.588195
0.606985 0.587544 0.531287 0.457254 0.401459 0.379906 0.393151
0.443962 0.523235 0.594014 0.632661 0.642755 0.627982 0.582359
0.505572 0.429483 0.389228 0.390872 0.433180 0.506976 0.577057
0.614456 0.618197 0.592457 0.540511 0.479406 0.437835 0.429814
0.452747 0.494247 0.533275 0.552028 0.545655 0.519496 0.486068
0.459941 0.449669 0.456426 0.477251 0.506398 0.536266 0.560272
0.574507 0.575907 0.560219 0.524461 0.475176 0.430369 0.405375
0.406712 0.438474 0.497882
Time: 7200
0.625737 0.673134 0.675723 0.637118 0.544494 0.428346 0.362300
0.360354 0.420518 0.529811 0.618735 0.647275 0.616347 0.524605
0.414443 0.353457 0.349699 0.403221 0.512735 0.616671 0.667518
0.677780 0.657474 0.598459 0.501253 0.418387 0.394641 0.428963
0.497795 0.548618 0.540578 0.476101 0.401245 0.361080 0.368338
0.432924 0.544439 0.635201 0.676178 0.681213 0.651916 0.570562
0.447735 0.360085 0.332061 0.354137 0.434199 0.555390 0.640054
0.664361 0.635005 0.543731 0.421142 0.344136 0.320836 0.339708
0.412577 0.537975 0.639881 0.685064 0.694794 0.678303 0.621055
0.506693 0.389715 0.332363 0.326423 0.368004 0.469931 0.592784
0.663683 0.684908 0.671531 0.614959 0.504717 0.396066 0.348020
0.359076 0.429655 0.542728 0.624732 0.642969 0.597634 0.492453
0.387894 0.338060 0.339244 0.394084 0.508051 0.619758 0.675962
0.690918 0.676191 0.618787 0.503283 0.385722 0.326214 0.311884
0.331194 0.397884 0.518783
spinodal, iron, chromium, Cahn Hilliard
MAP originated from a joint project of the National Physical Laboratory and the University of Cambridge.
