᧲ᄢ㒮ޔ᧲ᄢᣂ㗔ၞ

࠴ࡘ࡯ࡉ࠻࡟ࠗࡦߩ੝㖸ㅦ㧛ㆫ㖸ㅦⓨജ․ᕈߩᢙ୯⸃ᨆ

⧯ጊ৻᮸ޔ㋈ᧁብੑ㇢

᧲ᄢ㒮ޔ᧲ᄢᣂ㗔ၞ

Numerical Analysis on Subsonic and Transonic Aerodynamic Characteristics of Bullet Train in Tube

by

Kazuki Wakayama and Kojiro Suzuki ABSTRACT

For the purpose of reducing drag and further speeding up of high-speed train, the axisymmetric Navier-Stokes analyses have been numerically conducted around a bullet train running in depressurized tube. The flows around a simple axisymmetric body, which runs in high subsonic and transonic regimes at velocity more than 500km/h and freestream pressure 0.001atm, was solved for various tunnel diameters. When the train speed increases or the diameter of the tunnel decreases, the pressure on the nose tip of the train rises and the separation in the rear part of the train becomes more significant. As a result, the ³drag divergence´ phenomena were observed on the plots of the relation between the drag coefficient and the freestream Mach number. The results show that when the tube is depressurized to 0.001atm, further speeding up becomes possible with smaller power requirement than the existing Shinkansen bullet train.

㧝㧚ߪߓ߼ߦ

⃻࿷ޔ࿖ౝߩ㐳〒㔌ャㅍᚻᲑߦ߅޿ߡߪޔᣂᐙ✢ߣ⥶ⓨᯏ ߇ỗߒ޿┹੎ࠍ➅ࠅᐢߍߡ޿ࠆޕ500km/hߢ⿛ⴕߔࠆ࡝࠾ࠕ ࡕ࡯࠲࡯ࠞ࡯ߩ㐿⊒߿ޔ㣮ఽፉޔᧅᏻ߳ߩᣂᐙ✢ߩ⸘↹߇ㅴ

߼ࠄࠇߡ޿ࠆ߇ޔ⃻࿷ߩᣂᐙ✢ߩ⿛ⴕㅦᐲߢߪ߿ߪࠅ⥶ⓨᯏ ߩ೔㆐ᤨ㑆ߦߪ෸߫ߥ޿ޕ৻⥸ߦޔ㐳〒㔌ߦߥࠆ߶ߤ⥶ⓨᯏ ߇᦭೑ߢߪ޽ࠆ߇ޔේᴤଔᩰߩ㜞㛛ߦࠃࠆ⥶ⓨᯏߩΆ⾌Ⴧട

߿ⅣႺㆡวᕈߩⷰὐߢߪޔ੹ᓟᣂᐙ✢ࠍઍ⴫ߣߔࠆ㜞ㅦ೉ゞ ߩ᦭೑ᕈߦ߽ᵈ⋡ߔߴ߈ߢ޽ࠆޕࠁ߃ߦޔ㜞ㅦ೉ゞߩߐࠄߥ ࠆ㜞ㅦൻߩᬌ⸛ߪޔ㧔γ㧕㐳〒㔌ャㅍࠍ⥶ⓨᯏ߆ࠄ㜞ㅦ೉ゞ ߦ㓸⚂ߒⅣႺ߳ߩ㈩ᘦࠍ㜞߼ࠆޔ㧔δ㧕ࠃࠅ⍴ᤨ㑆ߢߩ㐳〒

㔌⒖േ߇น⢻ߦߥࠅ೑ଢᕈ߇㜞߼ࠄࠇࠆޔߣ޿ߞߚⷰὐ߆ࠄ

㊀ⷐߢ޽ࠆߣ⠨߃ࠆޕߐࠄߦߪᄢ㒽ャㅍࠍ㜞ㅦ೉ゞ߇ᜂ߁ߎ ߣ߽น⢻ߦߥࠆߣ⠨߃ࠆޕߒ߆ߒޔ㜞ㅦ⿛ⴕᤨߪⓨ᳇ᛶ᛫ߩ Ⴧᄢ߇㗼⪺ߣߥࠅᔅⷐࡄࡢ࡯߽Ⴧടߔࠆߎߣ߿ޔ㛍㖸࡮ᝄേ

╬ߩᴪ✢૑᳃߳ߩᓇ㗀ߥߤᄙߊߩ໧㗴߇↢ߓࠆޕ

ߘߎߢޔᧄ⎇ⓥߢߪᛶ᛫ૐᷫࠍ⁓޿ᷫ࿶ߒߚ࠻ࡦࡀ࡞ౝࠍ

⿛ⴕߔࠆ࠴ࡘ࡯ࡉ࠻࡟ࠗࡦߩᢙ୯⸃ᨆߦࠃࠅޔᣢሽߩ㜞ㅦ೉

ゞࠃࠅ߽ߐࠄߦ㜞ㅦߦ⿛ⴕߔࠆ㓙ߩⓨജ․ᕈࠍขᓧߒޔ⃻࿷

ߩᣂᐙ✢ߣߩᲧセߦࠃࠅޔ㋕㆏ߩ㜞ㅦൻߩน⢻ᕈߦߟ޿ߡᬌ

⸛ߔࠆޕᧄ⎇ⓥߢߪታ㓙ߩਃᰴరᒻ⁁ߦኻߒߡ㜞ㅦൻታ⃻ߩ ߚ߼ߩ⍮⷗ࠍᓧࠆߎߣ߇⋡⊛ߢ޽ࠆ߇ޔ߹ߕߪゲኻ⒓ᒻ⁁ߦ ኻߔࠆ⸃ᨆࠍⴕߞߚޕߎߎߢߪޔᛶ᛫ૐᷫࠍ⋡ᜰߔ਄ߢޔᵹ ࠇࠍጀᵹߣߺߥߔߎߣߩน⢻ߥ

1/1000

500km

㧞㧚㜞ㅦൻߦ઻߁ⓨ᳇ജቇ⊛໧㗴

ᣂᐙ✢߿࡝࠾ࠕࡕ࡯࠲࡯ࠞ࡯╬ߦ߅ߌࠆ㋕㆏ߩ㜞ㅦൻߦ ߅޿ߡߪ᭽ޘߥ೙⚂ⷐ࿃߇స᦯ߐࠇߥߌࠇ߫ߥࠄߥ޿ޕߘߩ ߁ߜᦨ߽㊀ⷐߥ߽ߩߣߒߡㅦᐲߩჇടߦ઻߁ⓨ᳇ജቇ⊛໧

㗴ߦ⿠࿃ߔࠆ೙⚂ⷐ࿃߇᜼ߍࠄࠇࠆޕ㋕㆏ߦ߅ߌࠆⓨ᳇ജቇ

⊛໧㗴ߣߒߡઍ⴫⊛ߥ߽ߩࠍ⴫㧝ߦ␜ߔޕ೉ゞߦߪޔ㧔γ㧕 㕖Ᏹߦ⚦㐳޿ޔ㧔δ㧕࿾㕙ߩ⋥ߋ਄ࠍ⿛ⴕߔࠆޔ㧔ε㧕ኻะ೉

ゞ߇ធㄭ࡮ㅢㆊߔࠆޔߣ޿ߞߚ․ᓽ߇᜼ߍࠄࠇࠆ[1]ޕ⴫㧝߆ ࠄⓨജ⊛໧㗴ߪ࠻ࡦࡀ࡞ߩሽ࿷ߦ࿃ࠆ߽ߩ߇ᄙ޿ޕᧄ⎇ⓥߢ ߩ⍮⷗ߪޔㅢᏱߩ㜞ㅦ㋕㆏ߦ㑐ߒߡ߽ޔ࠻ࡦࡀ࡞ߦࠃࠆⓨജ

⊛໧㗴ߩస᦯ߦ߽᦭↪ߢ޽ࠆޕ

⴫㧝㧚㋕㆏ߦ㑐ߔࠆⓨ᳇ജቇ⊛໧㗴^[1]

೉ゞㅢㆊᤨߩ೉ゞ㘑࡮࿶ജᄌേ

࠻ࡦࡀ࡞ᓸ᳇࿶ᵄޔ⓭౉࡮ㅌ಴ᵄ

࠻ࡦࡀ࡞ౝߩ᷷ᐲ਄᣹ߣ឵᳇

࿾਄஥

࠻ࡦࡀ࡞ౝߩ࿶ജ࡮㘑ㅦ

ⓨ᳇ᛶ᛫

೉ゞ஥㕙ߩ࿶ജᄌേ

ゞౝ឵᳇ᣇᑼߣゞౝ࿶ᄌേ

೉ゞߔࠇ㆑޿ᤨߩ࿶ജ

೉ゞవ㗡ㇱ࡮ᓟየㇱߩⓨജ․ᕈ ᮮ㘑߇ゞਔߦ෸߷ߔⓨ᳇ജ

࠻ࡦࡀ࡞⓭౉࡮ㅌ಴ᤨߩㆊᷰ⃻⽎

ࡄࡦ࠲ࠣ࡜ࡈߩⓨജ․ᕈ࡮ⓨജ㖸 ゞਔ஥

ゞਔⓨജ㖸

㧟㧚࠴ࡘ࡯ࡉ࠻࡟ࠗࡦߩࠦࡦ࠮ࡊ࠻

࠴ࡘ࡯ࡉ࠻࡟ࠗࡦߩ᭎ᔨ࿑ࠍ࿑㧝ߦ␜ߒޔߘߩ⿛ⴕࠦࡦ࠮

ࡊ࠻ࠍએਅߦ␜ߔޕ

㧔γ㧕ㅦᐲߩੑਸ਼ߦᲧ଀ߒߡⓨ᳇ᛶ᛫߇Ⴧᄢߔࠆߎߣ߆ࠄޔ

࠴ࡘ࡯ࡉౝࠍᷫ࿶ߒᛶ᛫ૐᷫࠍ࿑ࠆޕ

㧔δ㧕ో⿛ⴕ඙㑆ࠍ࠴ࡘ࡯ࡉౝߣߔࠆߎߣߢޔ࠻ࡦࡀ࡞ㅴ

౉࡮ㅌ಴ᤨߩⓨജ⊛ᓇ㗀ࠍㆱߌࠆޕ

㧔ε㧕ᷫ࿶ߦࠃࠅ⿛ⴕᤨߩ࡟ࠗࡁ࡞࠭ᢙࠍਅߍޔᵹࠇࠍጀᵹ ߣߒޔੂᵹߦࠃࠆ៺ᡂᛶ᛫ߩჇടࠍ㒐ߋޕ

࿑㧝㧚࠴ࡘ࡯ࡉ࠻࡟ࠗࡦ㧔ゲኻ⒓ᒻ⁁㧕᭎ᔨ࿑

Depressurization

→Drag Reduction

㧠㧚 ᢙ୯⸃ᨆᚻᴺ 㧠㧚㧝 ⸘▚ࡕ࠺࡞

࿑㧞ߦ⸃ᨆߦ↪޿ࠆ೉ゞᒻ⁁ࠍ␜ߔޕ⃻࿷㐿⊒ਛߩ࡝࠾ࠕ ࡕ࡯࠲࡯ࠞ࡯ߩ࠺࡯࠲^[2]ࠍෳ⠨ߦߒޔ೉ゞ㐳ࠍ

84m㧔3

ᒰ㧕ޔ㜞ߐࠍ

3mޔవ㗡ᒻ⁁ࠍ౞㍙ᒻߣߒߚゲኻ⒓ᒻ⁁ߣߒߡ

ቯ⟵ߒߚޕ⸘▚ᩰሶߪਛᔃゲࠍ฽߻৻ᢿ㕙ߦߟ޿ߡ↢ᚑߒޔ

᭴ㅧᩰሶࠍ↪޿ߚޕ೉ゞ೨ᣇߦ೉ゞ㐳ߩ

10

100

461x101

46561

࿑㧞㧚ゲኻ⒓೉ゞᒻ⁁

㧠㧚㧞 ⸘▚᧦ઙ

࠴ࡘ࡯ࡉౝߪᷫ࿶ߒ

1/1000

500km/h(M=0.4,T=20͠)ࠍၮὐߣߒޔ⴫㧞ࠃࠅޔࡑ࠶ࡂᢙߦ឵

▚ߒߡޔ

M f 0.4㨪0.9

5

M=0.5

6

ᐲߦ߅޿ߡ߽࡟ࠗࡁ࡞࠭ᢙ㧔ၮḰ㐳㧦೉ゞ⋥ᓘ

H㧕ߪ 10

ࠝ࡯࠳࡯ߢ޽ࠅޔጀᵹߣߒߡᏅߒᡰ߃ߥ޿ޕ߹ߚޔ೉ゞ஥㕙 ߣ࠴ࡘ࡯ࡉო㕙ߩ㑆㓒ࠍᄌ߃ࠆߎߣߦࠃࠆᛶ᛫․ᕈߩᄌൻ ࠍᬌ⸛ߔࠆߚ߼ߦޔ࠻ࡦࡀ࡞⋥ᓘ

D

H

2,3,4,෸

߮

5

ߦ⒖േߒߡ޿ࠆޕᧄ⸘▚ߢߪ೉ゞߦ࿕ቯߒߚᐳᮡߢ⸘▚ࠍⴕ ߁ߚ߼ޔ࠴ࡘ࡯ࡉო㕙ߦߟ޿ߡ߽৻᭽ᵹㅦᐲࠍႺ⇇᧦ઙߣߒ ߡਈ߃ߚޕ੝㖸ㅦᵹߢߪᵹ಴Ⴚ⇇ߦ߅޿ߡޔ⸘▚㗔ၞ߆ࠄᄖ ㇱ߳વ᠞ߔࠆᵄߪ㕖‛ℂ⊛ߥ෻኿ᵄࠍ↢ߕࠆߎߣߥߊႺ⇇

ࠍㅢㆊߒߥߌࠇ߫ߥࠄߥ޿ޕߘߎߢޔ⸘▚㗔ၞߩਅᵹᄖ✼ࠍ චಽߦ㆙ᣇߦߣࠆߛߌߢߥߊޔ಴ญߢ৻ᰴరࠍ઒ቯߒߚή෻

኿ᵹ಴᧦ઙ^[3]ࠍㆡ↪ߒߚޕ

⴫㧞㧚⸘▚᧦ઙ

৻᭽ᵹࡑ࠶ࡂᢙ 0.4 0.6 0.7 0.8 0.9

৻᭽ᵹ࿶ജ 1/1000[atm]

৻᭽ᵹ᷷ᐲ 20[͠](=293.15[K])

࠻ࡦࡀ࡞⋥ᓘ D 2H,3H,4H,5H

࡟ࠗࡁ࡞࠭ᢙ Re(x 10

^{) 2.72 4.07 4.75 5.43 6.11} (M=0.5 ߩߣ߈ Re=3.39x10

)

㧠㧚㧟 ᢙ୯⸘▚ᚻᴺ

ᵹ૕ߩᡰ㈩ᣇ⒟ᑼߦߪゲኻ⒓࿶❗ᕈ

Navier-Stokes

ᰴరൻߒߚޕኻᵹ㗄ߩ㔌ᢔൻߪ

Symmetiric-TVD

ࠍ↪޿ߚޕ☼ᕈ㗄ߪੑᰴ♖ᐲਛᔃᏅಽߢ㔌ᢔൻߒޔᤨ㑆Ⓧಽ ߪ

2

Runge-Kutta

㧡㧚⸘▚⚿ᨐ߅ࠃ߮⠨ኤ

㧡㧚㧝 D 5 H ߦ߅ߌࠆࡑ࠶ࡂᢙߩᓇ㗀

࿑㧟ߦฦࡑ࠶ࡂᢙߦ߅ߌࠆ೉ゞ⴫㕙࿶ജଥᢙಽᏓޔ࿑㧠ߦ

ฦࡑ࠶ࡂᢙ

0.4

M f

ജ߇ૐਅߒߡ޿߈ޔ೉ゞߩ⢋ߩㇱಽߢᭂዊߩࡇ࡯ࠢߣߥߞߡ

޿ࠆޕ೉ゞਛ㑆ㇱߢߪ࿶ജ߇৻ቯߣߥࠅޔ೉ゞᓟㇱߩᒻ⁁ᄌ

ൻㇱߢ࿶ജ߇࿁ᓳߒߡ޿ߊޕߎߩ⚿ᨐߪ

㘵↰ޔศ↰ࠄߦࠃ ߞߡⴕߥࠊࠇߚਃᰴరᒻ⁁ߩ ^M _f ^0.37 ߩ⸘▚߿ M f 0.4 ߩ⏛᳇ᶋ਄ゞਔߩ⸘▚ߦࠃߞߡᓧࠄࠇߚゞ૕ਛᔃ✢਄ߩ

࿶ജಽᏓ^[5]ߣቯᕈ⊛ߦ৻⥌ߒߡ߅ࠅޔᧄ⸘▚ߩ⚿ᨐߩᅷᒰᕈ ߇␜ߐࠇߚߣ⠨߃ࠆޕ

࿑㧡ߦ೉ゞᓟᣇߩฦࡑ࠶ࡂᢙߦ߅ߌࠆ╬ኒᐲ✢࿑ࠍ␜ߔޕ

࿑㧟߅ࠃ߮࿑㧠ࠃࠅޔㅦᐲߩ਄᣹ߦ઻޿ޔ

M f 0.7

ജଥᢙߩಽᏓߦᄢ߈ߥᄌൻߪߥ޿ޕᓟㇱߢ೸㔌㗔ၞ߇ᓢޘߦ ᄢ߈ߊߥࠆ߇ޔో૕ߩᛶ᛫ߦᄢ߈ߥᓇ㗀ߪߥ޿ޕߒ߆ߒ

0.8

M f

ജ਄᣹߇ᄢ߈ߊߥࠆޕᓟㇱߢߪᵹࠇߩ೸㔌߇㗼⪺ߦߥࠅޔ࿑

㧟߅ࠃ߮࿑㧠߆ࠄ⽶࿶㗔ၞ߇᜛ᄢߔࠆޕ

M f 0.9

㧡㧚㧞 M f 0.6 ߦ߅ߌࠆ࠻ࡦࡀ࡞⋥ᓘߩᓇ㗀

࿑㧢߅ࠃ߮࿑㧣ߦฦ࠻ࡦࡀ࡞⋥ᓘߦ߅ߌࠆ೉ゞ⴫㕙࿶ജ ଥᢙಽᏓޔ೉ゞᓟᣇㇱߩ╬ࡑ࠶ࡂᢙ✢࿑ࠍߘࠇߙࠇ␜ߔޕ࠻

ࡦࡀ࡞ߩ⋥ᓘ߇ዊߐߊߥࠆߦߟࠇޔᵹ〝߇⁜ߊߥࠅޔ࿑㧢ߦ

␜ߔㅢࠅ೉ゞ೨ᣇߢߩ࿶ജ਄᣹߇ᄢ߈ߊߥࠆޕ߹ߚޔ೉ゞਛ 㑆ㇱߢߪࠃࠅᵹࠇ߇ടㅦߐࠇޔ࿶ജ߇ૐਅߔࠆޕ࿑㧣ࠃࠅޔ

೉ゞᓟᣇㇱߢߪ೸㔌ߩⷙᮨ߇ᄢ߈ߊߥߞߡ޿ߊޕ

D 2 H

M f 0.9, D 5 H

ⓨ᳇ᛶ᛫߽Ⴧᄢߔࠆޕߎࠇߪޔหߓ࠻ࡦࡀ࡞⋥ᓘߦኻߒߡޔ

⿛ⴕㅦᐲ߇਄᣹ߔࠆߎߣߦࠃࠆᵹࠇ߅ࠃ߮ᛶ᛫․ᕈߩᄌൻ ߣห᭽ߢ޽ࠆޕ

㧡㧚㧟 ᛶ᛫․ᕈ߅ࠃ߮ᔅⷐࡄࡢ࡯

࿑㧤ߦฦ࠻ࡦࡀ࡞⋥ᓘߦኻߔࠆࡑ࠶ࡂᢙߦࠃࠆᛶ᛫ଥᢙ ߩ ᄌ ൻ ࠍ ␜ ߔ ޕ ࿑ 㧤 ࠃ ࠅ ޔ

D 5 H

M f 0.4

0.7

M f

0.7

ᰴߦ

D 4 H ,3 H ,2 H

ࠆޕߘߒߡޔᛶ᛫ߩᕆỗߥჇട߇ޔࠃࠅૐ޿ࡑ࠶ࡂᢙߦ߅޿

ߡᆎ߹ࠆߎߣ߇ಽ߆ࠆޕߎࠇߪ࠻ࡦࡀ࡞⋥ᓘ߇ዊߐߊߥࠆߎ ߣ߇ޔ㧡㧚㧞ߣห᭽ߦޔ⿛ⴕㅦᐲߩჇടߦ઻߁ᛶ᛫․ᕈߩᄌ ൻߣห᭽ߩലᨐࠍ↢ߓߐߖߡ޿ࠆߎߣߦࠃࠆޕ߹ߚޔᛶ᛫ଥ ᢙߪ⿛ⴕㅦᐲߩჇᄢߣߣ߽ߦᕆỗߦჇᄢߔࠆ߽ߩߩޔߘߩഀ

วߪዊߐߊߥࠆޕ․ߦ

D 2 H

M f 0.8,0.9

᛫ଥᢙ߇ᷫዋߒߡ޿ࠆޕߒ߆ߒޔᛶ᛫ߘߩ߽ߩ߇ᷫዋߒߡ޿

ࠆࠊߌߢߪߥ޿ߩߢޔᵈᗧࠍⷐߔࠆޕ

ᰴߦޔᓧࠄࠇߚฦ᧦ઙߦ߅ߌࠆᛶ᛫ଥᢙ߆ࠄ೉ゞߩᛶ᛫߅ ࠃ߮ᔅⷐࡄࡢ࡯ࠍ▚಴ߒߚޕ࿑㧥ߦฦ࠻ࡦࡀ࡞⋥ᓘߦ߅ߌࠆޔ ࡑ࠶ࡂᢙߦࠃࠆᔅⷐࡄࡢ࡯ߩᄌൻࠍ␜ߔޕࡑ࠶ࡂᢙߩ਄᣹ߦ

઻޿ޔᔅⷐࡄࡢ࡯ߪჇᄢߔࠆޕ߹ߚޔหߓࡑ࠶ࡂᢙߦ߅޿ߡ

߽࠻ࡦࡀ࡞⋥ᓘ߇ዊߐߊߥࠆߎߣߦࠃࠅޔᔅⷐࡄࡢ࡯ߪჇᄢ ߔࠆޕ࿑㧥ߪࡑ࠶ࡂᢙߦࠃࠆᛶ᛫ߩᄌൻߣห᭽ߢ޽ࠅޔ

2

D H

M f 0.8 ߆ࠄ 0.9 ߦ߆ߌߡ

ዋߔࠆ߇ޔᛶ᛫ߘߩ߽ߩߪჇടߒߡ޿ࠆߎߣ߇ಽ߆ࠆޕ

x

84m

21m 42m 21m

H=3m 0

y D

ޓቝቮ⥶ⓨ⎇ⓥ㐿⊒ᯏ᭴․೎⾗ᢱޓ

JAXA-SP-07-016

34

Front Side Rear Side

࿑㧟㧚೉ゞ⴫㕙࿶ജଥᢙಽᏓ㧔

D 5 H

0.975

1.01 Flow

( ) a M f 0.4

( ) b M f 0.5

( ) c M f 0.6

( ) d M f 0.7

( ) e M f 0.8

( ) f M f 0.9

Front Side Rear Side

࿑㧠㧚╬࿶ജଥᢙ✢࿑㧔

D 5 H

0.574 U U

1.13 Flow

( ) a M f 0.4

( ) b M f 0.5

( ) c M f 0.6

( ) d M f 0.7

( ) e M f 0.8

( ) f M f 0.9

࿑㧡㧚೉ゞᓟᣇㇱߩ╬ኒᐲ✢࿑㧔

D 5 H

Vortex Shedding Separation grows

ޓቝቮ⥶ⓨ⎇ⓥ㐿⊒ᯏ᭴․೎⾗ᢱޓ

JAXA-SP-07-016

36

Front Side Rear Side

࿑㧢㧚೉ゞ⴫㕙࿶ജଥᢙಽᏓ㧔

M f 0.6

0.0 M

1.09

Flow

( ) a D 5 H

( ) b D 4 H

( ) c D 3 H

( ) d D 2 H

࿑㧣㧚╬ࡑ࠶ࡂᢙ✢࿑㧔

M f 0.6

Separation grows

Vortex Shedding

㧢㧚ᣂᐙ✢ߩᶖ⾌㔚ജߣߩᲧセ

ᧄ⸘▚ߢᓧࠄࠇߚᔅⷐࡄࡢ࡯ࠍᣂᐙ✢ߩᶖ⾌㔚ജߣᲧセ ߔࠆޕ⃻࿷ߩᣂᐙ✢ߩᶖ⾌ࠛࡀ࡞ࠡ࡯ߪޔ᧲੩㨪ᣂᄢ㒋㑆ߢ

৻ᐳᏨ޽ߚࠅޔ120MJ^[6]ߢ޽ࠆޕߎߩ୯߆ࠄޔᧄ⸘▚ࡕ࠺࡞

ߣห᭽ߩ

3

1.2MW

߽ߎߩ୯ࠍਅ࿁ߞߡ޿ࠆޕࠁ߃ߦޔ࠻ࡦࡀ࡞ౝࠍ

1/1000

ߦᷫ࿶ߔࠇ߫ޔ⃻࿷ߩᣂᐙ✢ߩᶖ⾌㔚ജએਅߢ㜞ㅦൻ߇น⢻

ߢ޽ࠆߎߣ߇␜ߐࠇߚޕ

㧣㧚߹ߣ߼

ᷫ࿶ߒߚ࠻ࡦࡀ࡞ౝࠍ⿛ⴕߔࠆ࠴ࡘ࡯ࡉ࠻࡟ࠗࡦߩゲኻ

⒓ᒻ⁁ߦኻߔࠆᢙ୯⸃ᨆࠍⴕ޿ޔ੝㖸ㅦ߅ࠃ߮ㆫ㖸ㅦ⿛ⴕᤨ

ߦ߅ߌࠆၮ␆⊛ߥⓨജ․ᕈࠍขᓧߒߚޕ⿛ⴕㅦᐲߩჇടߦ઻

޿ޔ೉ゞ೨ᣇߢߩ࿶ജ਄᣹ޔ߅ࠃ߮೉ゞᓟᣇㇱߢߩᵹࠇߩ೸

㔌ߩⷙᮨߩჇᄢ߇⏕⹺ߐࠇߚޕߎߩ೉ゞ೨ᓟߢߩ࿶ജᏅߦ઻

߁࿶ജᛶ᛫ߩჇᄢ߇ޔ⿛ⴕᤨߩⓨ᳇ᛶ᛫ߩჇᄢࠍ᜗޿ߡ޿ࠆޕ

࠻ࡦࡀ࡞⋥ᓘࠍዊߐߊߔࠆߎߣ߇ޔᑪ⸳ࠦࠬ࠻㕙߆ࠄᦸ߹

ࠇࠆޕߒ߆ߒޔߘߩಽᛶ᛫߇Ⴧᄢߒߡߒ߹޿ޔ㜞ㅦൻߩᅹߍ ߦߥࠆޕᧄ⸘▚ߦ߅޿ߡߪޔචಽߥᷫ࿶߇ߥߐࠇࠇ߫ޔᣂᐙ

✢ߩᶖ⾌㔚ജએਅߢޔ㜞ㅦ⿛ⴕ߇น⢻ߢ޽ࠆߎߣ߇␜ߐࠇߚޕ ㆡಾߥᷫ࿶㊂ߦߟ޿ߡߪޔᬌ⸛ߔࠆᔅⷐ߇޽ࠆޕ

੹ᓟߪޔᷫ࿶ߩ⒟ᐲࠍਅߍߚ⸃ᨆ߿ޔਃᰴరࡕ࠺࡞ࠍ૞ᚑ ߒߡޔࠃࠅታ㓙⊛ߥ⸃ᨆࠍⴕ߁ߎߣߢޔ㜞ㅦൻߩ⹦⚦ߥᬌ⸛

ࠍߒߡ޿߈ߚ޿ޕ

㧤㧚ෳ⠨ᢥ₂

[1]

21, pp346-353, 2002.

[2]

᳇ᶋ਄ᑼ㋕㆏ታ↪ᛛⴚ⹏ଔޠ, ppI3-I5, 2005.

[3]

1995.

[4] Yee, H.; Upwind and Symmetric Shock-Capturing Schemes, NASA TM 89464, pp20-22, May, 1987.

[5]

,

11

ⓨ᳇ജቇࠪࡦࡐࠫ࠙ࡓ⺰ᢥ㓸, pp243-248, 1994.

[6]

2006ޠ , pp3, 2006.

࿑㧤㧚ࡑ࠶ࡂᢙߦࠃࠆᛶ᛫ଥᢙߩᄌൻ

࿑㧥㧚ࡑ࠶ࡂᢙߦࠃࠆᔅⷐࡄࡢ࡯ߩᄌൻ ޓቝቮ⥶ⓨ⎇ⓥ㐿⊒ᯏ᭴․೎⾗ᢱޓ

JAXA-SP-07-016

38