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4 heat1.f90 heat2.f90 /tmp/130704/heat2.f90 I / 68
5 diff heat1.f90 heat2.f90!! heat2. f 9 0! c m > NGRID! c nmax > NLOOP! + n mid! c... ) / 4. 0 DP >... ) 0.25 DP! c... + heaat h h >... + h e a t s q!!! heat1. f 9 0! program heat2... I / 68
6 heat2.f90 heat3.f90 /tmp/130704/heat3.f90 I / 68
7 diff heat2.f90 heat3.f90!! heat3. f 9 0! + MPI, 1 D d e c o m p o s i t i o n! usage ( on pi computer )! 1) m p i f r t p x heat3. f 9 0! 2) p j s u b heat3. sh!!!! heat2. f 9 0!! c m > NGRID!! c nmax > NLOOP!! + n mid!! c h=1.0 DP/m > h=1.0 DP /(NGRID+1)!! c... ) / 4. 0 DP >... ) 0.25 DP!! c... + heaat h h >... + h e a t s q!!!!! heat1. f 9 0!!... I / 68
8 heat3.sh /tmp/130704/heat3.sh #!/bin/bash #PJM -N "heat3" #PJM -L "rscgrp=small" #PJM -L "node=4" #PJM -L "elapse=02:00" #PJM -j drawline() { echo "#"{1..50} sed s/[ 0-9]//g } drawline mpiexec./a.out drawline I / 68
9 I / 68
10 Information visualization Data visualization, Scientific visualization I / 68
11 1 x f(x) y = f(x) f f 2 := f((f(x)), f 3 := f(f(f(x))), f(x) = sin x f 10 (x) I / 68
12 y = sin(sin(sin(sin(sin(sin(sin(sin(sin(sin(x)))))))))) I / 68
13 x 0 x x f(x) = x x (x 0) x x = 0 f(0) = 0 0 I / 68
14 2 x y 2 f(x, y) p p(x, y) Figure : : I / 68
15 I / 68
16 4 f(x,y)=1.0 4 f f=1.0 I / 68
17 4 f 1.0 I / 68
18 marching squares 2 f(x, y) I / 68
19 3 3 3 f(x, y, z) 1.0 f(x, y, z) = 1.0 I / 68
20 Marching Cubes US A, 1985 I / 68
21 1 2 3 I / 68
22 I / 68
23 3 2 I / 68
24 可視化とは ボリュームレンダリング グリフ 流線 計算科学演習 I 可視化 / 68
25 I / 68
26 IDL, AVS/Express, Tecplot,... ParaView, VisIt, Amera, Vapor,... Mathematica, MATLAB,... VTK, Visualization Library,... I / 68
27 gnuplot I / 68
28 gnuplot is a command-driven interactive function plotting program. It can be used to plot functions and data points in both two- and three-dimensional plots in many different formats. It is designed primarily for the visual display of scientific data. gnuplot is copyrighted, but freely distributable; you don t have to pay for it.... Gnuplot is neither written nor maintained by the FSF... I / 68
29 π-computer Unix X-Window (X11) Windows X11 X11 Xming X-Window gnuplot X-Window I / 68
30 1. Xming Xming 2. Tera term SSH 2.4 (X) I / 68
31 UNIX 1. X11 2. Mac 3. ssh -X my X11.app XQuartz.app I / 68
32 X11 π-computer I / 68
33 gnuplot> gnuplot> plot sin(x) I / 68
34 help quit I / 68
35 gnuplot 入門 gnuplot の単項演算子 gnuplot 4.4 のマニュアルより引用 計算科学演習 I 可視化 / 68
36 gnuplot 4.4 I / 68
37 I / 68
38 gnuplot 4.4 I / 68
39 I / 68
40 I / 68
41 f(x) = x x I / 68
42 plot x**x title "x\^x" I / 68
43 plot sin(x) title "sin(x)", sin(sin(x)) title "sin(sin(x))" I / 68
44 set set title "y=x^x" set xlabel "x (no units)" set ylabel "y (no units)" plot x**x I / 68
45 replot set xrange [0:5] replot I / 68
46 set grid replot I / 68
47 s2(x) = sin(sin(x)) s4(x) = s2(s2(x)) s10(x) = s4(s4(s2(x))) plot s10(x) I / 68
48 heat3.f90 I / 68
49 1 (1) heat3.f90 - mpifrtpx heat3.f90 - pjsub heat3.sh (2) heat3.o... - more / less / head / tail (3) plot heat3.o... w lp lp linespoints line point w linespoints I / 68
50 I / 68
51 # 1 x, y 1 plot x 2 y I / 68
52 (1) 2 unset key replot (2) 2 set yrange [0:0.35] replot (3) x y set title "Temperatute at the Center" set xlabel "iterations" set ylabel "temperature" replot I / 68
53 I / 68
54 heat3.f90 y=0.5 x i x i x x i = h (i n mid ) I / 68
55 data - mkdir../data data data I / 68
56 /tmp/130704/heat3 print final x prof.f90 I / 68
57 diff heat3.f90 heat3 print final x prof.f90! h e a t 3 p r i n t f i n a l x p r o f. f 9 0! + open / c l o s e f i l e 10! + p r i n t out c r o s s s e c t i o n 1D data.! + i n t e g e r j c u t ( c r o s s s e c t i o n f o r output )! + f u n c t i o n t h i s p r o c e s s h a s ( )! usage ( on pi computer )! 1) mkdir.. / data ( u n l e s s t h e r e i s a l r e a d y. )! 2) m p i f r t p x h e a t 3 p r i n t f i n a l x p r o f. f 9 0! 3) p j s u b heat3. sh ( s h a r e the j o b s c r i p t with heat3. f 9 0. ) I / 68
58 (1) heat3 print final x prof.f90 - mpifrtpx heat3 print final x prof.f90 - pjsub heat3.sh (2)../data/ temp.final profile x (3) more / less / head / tail (4)../data (5) plot "temp.final_profile_x" w lp I / 68
59 - gnuplot script - src/heat3 print final x prof.gp # heat3_print_final_x_prof.gp # # final temperature profile at y=0.5 as a function of x # set xrange [-0.5:0.5] set yrange [0:0.5] set xlabel "x" set ylabel "temp at y=0.5" plot "../data/temp.final_profile_x" w lp pause -1 I / 68
60 quit shell (src gnuplot heat3_print_final_x_prof.gp I / 68
61 I / 68
62 heat1.f90 T (x = ±1/2, y) = T (x, y = ±1/2) = 0 2 T 2 x + 2 T 2 y + 4 = 0 y = 0 T (x) = x {cos(πx) + cosh(πx)} {cos(2πx) + cosh(2πx)} central_temp.pdf I / 68
63 heat3 print final x prof.gp π-computer mail kage mail kage < your script file 7/11 18:00 I / 68
64 1. n 135X204X n = = n n 4 3 m Unix echo "15^15 % 4 + 3" bc 3. m Emacs Ctr-u m Esc-x hanoi 4. I / 68
65 I / 68
66 TA I / 68
67 I / 68
68 /tmp/130704/heat3 print x prof for animation.f90 data I / 68
05 I I / 56
05 I 2015 2015.05.14 I 05 2015.05.14 1 / 56 I 05 2015.05.14 2 / 56 cd mkdir vis01 OK cd vis01 cp /tmp/150514/leibniz.*. I 05 2015.05.14 3 / 56 I 05 2015.05.14 4 / 56 Information visualization Data visualization,
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1 2013.07.18 1 I 2013 3 I 2013.07.18 1 / 47 A Flat MPI B 1 2 C: 2 I 2013.07.18 2 / 47 I 2013.07.18 3 / 47 #PJM -L "rscgrp=small" π-computer small: 12 large: 84 school: 24 84 16 = 1344 small school small
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