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1
2 (MHD ) GFV (Galium Field Visualizer) GFV OpenGL GFV GFV GFV
3 GFV GFV GFV
4 1 MHD (Magnetohydrodynamics) MHD MHD MHD Ultrasonic Velocity Profiler, UVP UVP CG (Visualization) CG MHD MHD MHD 1
5 2 2.1 CG CG API OpenGL Open Graphics Library OpenGL D GPU OpenGL CG OpenGL GLU GLUT GLU OpenGL Utility Library OpenGL CG GLUT OpenGL Utility Toolkit GLUT OpenGL gltranslate gluperspective glutmousefunc [1] 2.2 [2] φ X(x,y,z) Fig. 1 X x y z [i][j][k] (x i, y j, z k ) φ ijk 2
6 φ w ijk w ijk = f x i f y j f z k f x i = x i+1 x = x i+1 x x i+1 x i x f x i+1 = 1 f x i f y j = y j+1 y = y j+1 y y j+1 y j y f y j+1 = 1 f y j fk z = z k+1 z = z k+1 z z k+1 z k z f z k+1 = 1 f z k Fig. 1 X φ φ(x, y, z) = w 000 φ w 001 φ w 010 φ w 011 φ w 100 φ w 101 φ w 110 φ w 111 φ [3] dx dt = v(x) 3
7 Fig. 1: Location of φ. x x n t x x n+1 x 0 = x n, k 1 = t v(x 0 ), k 2 = t v(x 0 + k 1 2 ), k 3 = t v(x 0 + k 2 2 ), k 4 = t v(x 0 + k 3 ), x n+1 = x (k 1 + 2k 2 + 2k 3 + k 4 ). dx dt = v x(x, y, z) dy dt = v y(x, y, z) dz dt = v z(x, y, z) 4
8 x 0 = x n, y 0 = y n, z 0 = z n k1 x = t v x (x 0, y 0, z 0 ) k y 1 = t v y (x 0, y 0, z 0 ) k1 z = t v z (x 0, y 0, z 0 ) k x 2 = t v x (x 0 + kx 1 2, y 0 + ky 1 2, z 0 + kz 1 2 ) k y 2 = t v y (x 0 + kx 1 2, y 0 + ky 1 2, z 0 + kz 1 2 ) k z 2 = t v z (x 0 + kx 1 2, y 0 + ky 1 2, z 0 + kz 1 2 ) k x 3 = t v x (x 0 + kx 2 2, y 0 + ky 2 2, z 0 + kz 2 2 ) k y 3 = t v y (x 0 + kx 2 2, y 0 + ky 2 2, z 0 + kz 2 2 ) k z 3 = t v z (x 0 + kx 2 2, y 0 + ky 2 2, z 0 + kz 2 2 ) k x 4 = t v x (x 0 + k x 3, y 0 + k y 3, z 0 + k z 3) k y 4 = t v y (x 0 + k x 3, y 0 + k y 3, z 0 + k z 3) k z 4 = t v z (x 0 + k x 3, y 0 + k y 3, z 0 + k z 3) x n+1 = x (kx 1 + 2k x 2 + 2k x 3 + k x 4) y n+1 = y (ky 1 + 2k y 2 + 2k y 3 + k y 4) z n+1 = z (kz 1 + 2k z 2 + 2k z 3 + k z 4) 5
9 3 MHD C OpenGL GFV (Galium Field Visualizer) 3.1 GFV x y z GFV Fig. 2 x y z GFV NX,NY,NZ X,Y,Z XMIN,XMAX X YMIN,YMAX Y ZMIN,ZMAX Z PARTICLEMAX 6
10 Fig. 2: Bounding box. x y z 7
11 MESH 3.2 Fig. 3 [Slice] [Arrow] [ParticleTracer] [SelectSliceData] [SelectArrowData] Reset View End Fig. 3: Example of the menu of GFV. 8
![3.3 3.3.1 Fortran90 C C Fortran x y z (NX,NY,NZ) C [0][0][0] [0][0][1] [0][0][2] Fortran (1,1,1) (2,1,1)](/docs-images/104/164161408/images/12-0.jpg "(3,1,1) Fortran C C [NZ][NY][NX] C C Fortran NX*NY*NZ Fig. 4: Multidimensional arrays in Fortran and C. 3.3.2 9")
12 Fortran90 C C Fortran x y z (NX,NY,NZ) C [0][0][0] [0][0][1] [0][0][2] Fortran (1,1,1) (2,1,1) (3,1,1) Fortran C C [NZ][NY][NX] C C Fortran NX*NY*NZ Fig. 4: Multidimensional arrays in Fortran and C
13 0x123456AB 16 [ AB] [AB ] CPU (union) union { } data ; f l o a t f ; unsigned char adr [ s i z e o f ( f l o a t ) ] ; adr data.adr[n] 1 float GFV x y z [Slice] [SelectSliceData] Velocity( ) Pressure( ) Enstrophy( ) Helicity( ) xy Shift + yz Ctrl + zx Shift + 10
14 OpenGL glbegin(gl TRIANGLE STRIP) glend() xy Fig. 5 y x OpenGL xy yz zx (Fig. 6) Fig. 5: A slice plane by OpenGL s triangle strip. xy 11
15 Fig. 6: A snapshot of slice planes that visualize flow velocity amplitude. 12
16 5 GFV 5.1 (Fig. 7) xy yz zx x y y z z x [Arrow] Slicexy xy Sliceyz yz Slicezx zx xy x y 50%, 50% 5.2 x y z (Fig.8 Fig. 9) [Arrow] print3darrow 13
17 x y z 50% 50% atan2 x y xy z 70% 5.3 [Particle Tracer] set xy z zx y yz x [Particle Tracer] start particle.txt x y z [ParticleTracer] input set [ParticleTracer] output particle.txt 14
18 Fig. 7: A snapshot of velocity vector visualization by 2D arrows. Fig. 8: A snapshot of velocity vector visualization by 3D arrows. Fig. 7 Fig. 8 15
19 Fig. 9: Another snapshot of velocity vector visualization by 3D arrows. 2.3 x y z 2.2 start GLUT glutidlefunc glutidlefunc 16
20 Fig. 10: A snapshot of velocity vector visualization by animated particle tracers. 17
21 6 GFV 6.1 (UVP) Fig mm 200mm 200mm Fig. 12 x 6.2 [5] Fig. 13 5:5:1 x y z xz yz (xy ) Ra Ek Ra = (g/t 0)βd 4 (κ/ρ 0 C p )(ν/ρ 0 ) Ek = ν ΩH 2 [4] NX=251 NY=251 NZ=51 Ra = Ek =
22 Fig. 11: Liquid galium contained in a convection vessel. 6.3 GFV GFV NX=251 NY=251 NZ=51 x XMIN XMAX 1.25 YMIN YMAX 1.25 ZMIN ZMAX Fig. 14 x yz x Fig. 15 xy x x Fig. 16 yz yz x=0 Fig
23 Fig. 12: Helmholtz coils for horizontal magnetic field applied to the convection vessel. Fig. 13: Simulation model. 20
24 Fig. 18 Fig. 18 x Fig. 17 Fig. 19 Fig. 19 Fig. 20 GFV Fig. 21 x Fig. 22 x x Fig. 22 x Fig. 23 ω = v (ω ω) [6] Fig. 23 Fig. 24 v ω [7] 0 Fig. 24 y y Fig.25 GFV Fig
25 Fig. 14: A snapshot of slice planes for velocity field amplitude of liquid galium convection. x 22
26 Fig. 15: Velocity vectors by 2D arrows. xy yz 23
27 Fig. 16: Velocity vectors visualized by 2D and 3D arrows. yz x 24
28 Fig. 17: Distribution of magnetic field amplitude in the liquid galium convection. Fig. 18: Magnetic field vectors visualized by 2D and 3D arrows. 25
29 Fig. 19: Combined visualization of 3D arrows and slice planes. 26
30 Fig. 20: Magnetic field concentration that is visualized by the red stripes in the horizontal slice planes. 27
31 Fig. 21: Helical flows structure visualized by particle tracers. Fig. 22: Torus structure of the flow in convection rolls. 28
32 Fig. 23: The enstrophy distribution on slice planes with helical flow lines. Fig. 24: Two Different kinds of helical flow lines; right-winding and left winding. The color shows the helicity density distribution; positive in red and negative in blue. 29
33 Fig. 25: A pair of opposite windings of helical flow, or a pair of opposite signs of helicity density, in each convection roll. Fig. 26: Pressure on slice planes. 30
34 7 MHD GFV x GFV x Fig. 16 x x x x GFV GFV 31
35 [1], OpenGL CG, (2003) [2],, (2005) [3] W.H.Press, B.P.Flannery, S.A.Teukolsky and W.T.Vetterling, Numerical Recipes in C : The Art of Scientific Computing, Second Edition,Cambridge Press, pp (1992) [4] D.O.Gough,D.R.Moore,E.A.Spiegel,N.O.Weiss, CONVECTIVE INSTABIL- ITY IN A COMPRESSIBLE ATOMOSPHERE. II, THE ASTROPHYSI- CAL JOURNAL, 206, pp (1976) [5],, (2010) [6],,,pp (1982) [7],,,p.162(1998) MHD 32
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3 * 35 (3), 7 Analysis of Local Magnetic Properties and Acoustic Noise in Three-Phase Stacked Transformer Core Model Masayoshi Ishida Kenichi Sadahiro Seiji Okabe 3.7 T 5 Hz..4 3 Synopsis: Methods of local
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日立金属技報 Vol.34
Influence of Misorientation Angle between Adjacent Grains on Magnetization Reversal in Nd-Fe-B Sintered Magnet Tomohito Maki Rintaro Ishii Mitsutoshi Natsumeda Takeshi Nishiuchi Ryo Uchikoshi Masaaki Takezawa
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微分積分 サンプルページ この本の定価 判型などは, 以下の URL からご覧いただけます. ttp://www.morikita.co.jp/books/mid/00571 このサンプルページの内容は, 初版 1 刷発行時のものです. i ii 014 10 iii [note] 1 3 iv 4 5 3 6 4 x 0 sin x x 1 5 6 z = f(x, y) 1 y = f(x)
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Optical Lenses CCD Camera Laser Sheet Wind Turbine with med Diffuser Pitot Tube PC Fig.1 Experimental facility. Transparent Diffuser Double Pulsed Nd:
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41 COSMOS-V, an Aerodynamic Noise Simulator Nariaki Horinouchi COSMOS-V COSMOS-V COSMOS-V 3 The present and future computational problems of the aerodynamic noise analysis using COSMOS-V, our in-house
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