Optimization of Air Hole Arrangement in Aeroengine Combustor by CFD Analysis

㘵㊁ ᷕ

, ’↰ శᱜ

, ㊁ፒ ℂ

Optimization of Air Hole Arrangement in Aeroengine Combustor by CFD Analysis

Jun IINO

, Mitsumasa MAKIDA

, Osamu NOZAKI

Abstract

The Japan Aerospace Exploration Agency (JAXA) has started TechCLEAN , “Technology development project for clean engines” in October 2003, and has conducted research to develop the combustor of the engine which the specification is matched to the Eco-engine. This engine is designed in the project of “Research and Development for an Environmental-Friendly Small Aircraft Engine” which has been started by the New Energy and Industrial Technology Development Organization (NEDO) in April 2003. Since this combustor is for the next generation aircraft commercial engines, the target of this development is to reduce NOx emissions below 50% of the ICAO (International Civil Aviation Organization) CAEP4 (Committee on Aviation Environmental Protection 4) standard with simple fuel system. In this combustor, we apply the rich- lean combustion concept by adopting simple single-stage airblast fuel nozzle. We discuss the CFD analysis which is conducted in the development process for this aircraft engine combustor in this paper. Steady non-combustion flow is calculated to construct an useful CFD analysis method for the screening work which is important in the earlier stage of combustor development. At first, we compare the CFD results with those of combustion experiments and investigate parameters which has relation with blowout and ignition performance. Then, the combustor which is predicted to have better blowout performance is suggested by optimizing arrangement of air holes.

᭎ ⷐ

ቝቮ⥶ⓨ⎇ⓥ㐿⊒ᯏ᭴(JAXA)ߢߪ, 2003 ᐕ 10 ᦬ࠃࠅޟࠢ࡝࡯ࡦࠛࡦࠫࡦᛛⴚ⎇ⓥ㐿⊒ޠ(TechCLEANࡊࡠࠫࠚࠢ

࠻)ࠍ㐿ᆎߒ, ߘߩਛߢ⚻ᷣ↥ᬺ⋭࡮ᣂࠛࡀ࡞ࠡ࡯↥ᬺᛛⴚ✚ว㐿⊒ᯏ᭴(NEDO)߇ 2003 ᐕ 4 ᦬ࠃࠅ㐿ᆎߒߚޟⅣႺ ㆡᔕဳዊဳ⥶ⓨᯏ↪ࠛࡦࠫࡦ⎇ⓥ㐿⊒ޠ߳ߩᡰេߩ৻Ⅳߣߒߡࠛࠦࠛࡦࠫࡦ઀᭽ߦว⥌ߔࠆΆ὾ེࠍ㐿⊒ߒߡ޿ࠆ.

ߎ ߩ Ά ὾ ེ ߪ ໡ ↪ ߩ ᰴ ᦼ ⥶ ⓨ ᯏ ࠛ ࡦ ࠫ ࡦ ↪ ߢ, 㐿 ⊒ ߦ ޽ ߚ ߞ ߡ ߪ, ಴ ᧪ ࠆ ߛ ߌ න ⚐ ߥ ᭴ ㅧ ࠍ ណ ↪ ߒ ߥ ߇ ࠄICAO (International Civil Aviation Organization) CAEP4 (Committee of Aviation Environmental Protection 4) ߩ50㧑એਅ߳NOxߩ ឃ಴ࠍૐᷫߔࠆߎߣࠍ⋡ᮡߣߒߡ޿ࠆ. ߎߩࠃ߁ߥ⋡ᮡࠍታ⃻ߔࠆߚ߼ߦ, JAXAߩΆ὾ེߢߪ, ࠪࡦࡊ࡞ߥࠛࠕࡉ࡜

ࠬ࠻ဳߩࠪࡦࠣ࡞Άᢱࡁ࠭࡞ࠍ↪޿ߚ࡝࠶࠴࡮࡝࡯ࡦΆ὾ᣇᑼࠍណ↪ߒߡ޿ࠆ. ᧄ⺰ᢥߪ, ߎߩΆ὾ེߩ㐿⊒ߩ৻Ⅳ ߣߒߡⴕࠊࠇߡ޿ࠆCFD (Computational Fluid Dynamics) ⸃ᨆߦߟ޿ߡㅀߴߚ߽ߩߢ޽ࠆ. Ά὾ེ㐿⊒ߩೋᦼᲑ㓏ߢ㊀ ⷐߥࠬࠢ࡝࡯࠾ࡦࠣ૞ᬺߦ᦭⋉ߥCFD⸃ᨆᣇᴺࠍ᭴▽ߔࠆߎߣࠍ⋡⊛ߣߒ, ⸘▚⽶⩄߇ዊߐ޿㕖Ά὾ቯᏱᵹࠇ႐ߩ⸃

ᨆࠍⴕߞߡ޿ࠆ. ߹ߕ, ਄⸥㐿⊒ߩਛߢⴕࠊࠇߚΆ὾ታ㛎ߩ⚿ᨐߣߩᲧセࠍታᣉߒ, ଻Ἳ, ⌕Ἣᕈ⢻ߣ㑐ㅪߩ޽ࠆCFD

⸃ᨆ߆ࠄᓧࠄࠇࠆࡄ࡜ࡔ࡯࠲ࠍᬌ಴ߒߚ. ߐࠄߦ, ߎߩࡄ࡜ࡔ࡯࠲ࠍ↪޿ߡ଻Ἳᕈ⢻߇㜞޿ߣ੍᷹ߐࠇࠆⓨ᳇ሹ㈩⟎

ࠍឭ᩺ߔࠆ.

* 2007ᐕ2᦬28ᣣฃઃ㧔Received 28 February, 2007㧕

*1⥶ⓨࡊࡠࠣ࡜ࡓࠣ࡞࡯ࡊ ⅣႺㆡᔕࠛࡦࠫࡦ࠴࡯ࡓ㧔Clean Engine Team, Aviation Program Group㧕

*2✚วᛛⴚ⎇ⓥᧄㇱ ⥶ⓨࠛࡦࠫࡦᛛⴚ㐿⊒࠮ࡦ࠲࡯㧔Aeroengine Technology Center, Institute of Aerospace Technology㧕

⸥ภ D ࡜ࠗ࠽㜞ߐ[m]

mn n⇟⋡ߩᵹ✢ߩᜂ߁ⓨ᳇ߩᵹ㊂[kg/s]

mn ࠮࡞ߦ߅ߌࠆn⇟⋡ߩᵹ✢ߩᜂ߁ⓨ᳇ߩ⾰㊂[kg]

mnoz ࠮࡞ߦ߅ߌࠆΆᢱࡁ࠭࡞߆ࠄߩⓨ᳇ߩ⾰㊂[kg]

mheat ࠮࡞ߦ߅ߌࠆΆ὾↪ⓨ᳇ሹ߆ࠄߩⓨ᳇ߩ⾰㊂[kg]

mdil ࠮࡞ߦ߅ߌࠆᏗ㉼↪ⓨ᳇ሹ߆ࠄߩⓨ᳇ߩ⾰㊂[kg]

total

m m_noz m_heatm_dil[kg]

R ࠮࡞ߦ߅ߌࠆΆᢱࡁ࠭࡞߆ࠄߩⓨ᳇߇භ߼ࠆഀ

ว( m_noz m_total )

R ৻ᰴΆ὾㗔ၞో⾰㊂ਛΆᢱࡁ࠭࡞߆ࠄߩⓨ᳇߇ භ߼ࠆഀว

tn

' n⇟⋡ߩᵹ✢߇࠮࡞ߦṛ࿷ߔࠆᤨ㑆[ms]

tn

' Άᢱࡁ࠭࡞߆ࠄᵹ౉ߔࠆⓨ᳇߇৻ᰴΆ὾㗔ၞߦ ṛ࿷ߔࠆᤨ㑆[ms]

T , ,r

x ᐳᮡ♽ߩ3ᣇะᚑಽ[m]

vr ㅦᐲߩඨᓘᣇะᚑಽ[m/s]

v&n

n⇟⋡ߩᵹ✢ߩ⿠ὐߦ߅ߌࠆⓨ᳇ߩㅦᐲ[m/s]

Un n⇟⋡ߩᵹ✢ߩ⿠ὐߦ߅ߌࠆⓨ᳇ߩኒᐲ[kg/m³]

Gs ⿠ὐ⸳⟎㕙ߦ߅ߌࠆᵹ✢৻୘޽ߚࠅߩ㕙Ⓧ⚛ [m²]

߹߃߇߈

ㄭᐕ, ⥶ⓨ↪ࠛࡦࠫࡦߩਥⷐ᭴ᚑⷐ⚛ߢ޽ࠆΆ὾ེߪ,

⋭ࠛࡀ࡞ࠡ࡯߿ⅣႺ଻ోߩⷰὐ߆ࠄ, 㜞⽶⩄ൻ, ᦭ኂឃ

಴‛(⓸⚛ൻว‛:NOx)ߩૐᷫൻ߇ⷐ᳞ߐࠇ, ߘࠇࠄࠍታ

⃻ߔࠆߚ߼ߩᛛⴚࠍ㐿⊒ߔࠆߎߣ߇㊀ⷐߥ⺖㗴ߣߥߞߡ

޿ࠆ.

ߎߩࠃ߁ߥ⢛᥊߆ࠄ, ቝቮ⥶ⓨ⎇ⓥ㐿⊒ᯏ᭴(JAXA)ߢ ߪ, 2003 ᐕ 10 ᦬ࠃࠅޟࠢ࡝࡯ࡦࠛࡦࠫࡦᛛⴚ⎇ⓥ㐿

⊒ޠ(TechCLEANࡊࡠࠫࠚࠢ࠻)ࠍ㐿ᆎߒ, Ά὾ེ߆ࠄឃ

಴ߐࠇࠆNOxࠍૐᷫߔࠆߚ߼ߩΆ὾ᛛⴚߩ⎇ⓥ࡮㐿⊒ࠍ

♖ജ⊛ߦⴕߞߡ߈ߡ޿ࠆ. ⃻࿷㐿⊒ߒߡ޿ࠆΆ὾ེߪ, 2003 ᐕ 4 ᦬߆ࠄ⚻ᷣ↥ᬺ⋭࡮ᣂࠛࡀ࡞ࠡ࡯↥ᬺᛛⴚ✚

ว㐿⊒ᯏ᭴(NEDO)߇ታᣉߒߡ޿ࠆޟⅣႺㆡᔕဳዊဳ⥶

ⓨᯏ↪ࠛࡦࠫࡦ⎇ⓥ㐿⊒ޠߦ߅ߌࠆޟࠛࠦࠛࡦࠫࡦޠߩ

઀᭽ߦวࠊߖߚ߽ߩߢ޽ࠆ. ࠛࠦࠛࡦࠫࡦߪ, ࿶ജᲧ 20

⒟ᐲߩ໡↪⥶ⓨᯏ↪ࠛࡦࠫࡦߢ, ࠛࡦࠫࡦో૕ߩࠦࠬ࠻

ࠍᛥ߃ࠆߚ߼᭴ㅧࠍන⚐ߦߔࠆߎߣߣ, Ά὾ེߦߟ޿ߡ ߪ, ᐢ޿૞േ▸࿐ߦᷰߞߡΆ὾ᕈ⢻ࠍ⛽ᜬߒߟߟ, ICAO (International Civil Aviation Organization) CAEP4 (Committee on Aviation Environmental Protection 4) ⷙ೙

୯ߦኻߒߡ 50㧑એਅߦNOxឃ಴ૐᷫߔࠆߎߣ߇⋡ᮡߣ ߒߡ⸳ቯߐࠇߡ޿ࠆ.

ߎߩࠃ߁ߥ⸳ቯ⋡ᮡࠍታ⃻ߔࠆߚ߼ߦ, JAXAߢߪߎ ߩΆ὾ེߦኻߒߡ, ࠛࠕࡉ࡜ࠬ࠻ဳߢ᭴ㅧߩࠪࡦࡊ࡞

ߥࠪࡦࠣ࡞Άᢱࡁ࠭࡞ࠍណ↪ߒ, ߘߩΆᢱࡁ࠭࡞߆ࠄ ዉ౉ߐࠇߚΆᢱߩỚ޿ᷙว᳇ߢΆᢱࡁ࠭࡞ㄭறߩ㗔ၞࠍ

ㆊỚΆ὾⁁ᘒߣߒ, ߘߩਅᵹߦ߅޿ߡⓨ᳇ࠍዉ౉ߒᏗ⭯

Ά὾ࠍⴕ߁࡝࠶࠴࡮࡝࡯ࡦΆ὾ᣇᑼࠍណ↪ߒߡ޿ࠆ. ߎ ߩΆ὾ᣇᑼࠍណ↪ߔࠆߎߣߦࠃࠅ, ࠪࡦࡊ࡞ߥΆ὾ེ᭴

ㅧߢ޽ࠅߥ߇ࠄ, Άᢱࡁ࠭࡞ㄭறߩㆊỚΆ὾㗔ၞߢ଻

Ἳ࡮⌕Ἣᕈ⢻ࠍ⛽ᜬߒߟߟ, NOxߩឃ಴ࠍᛥ೙ߔࠆߎߣ ߇น⢻ߣߥࠆ.

ታ㛎ߢߪᣢߦ, 16୘ߩΆᢱࡁ࠭࡞ࠍ᦭ߔࠆⅣ⁁Ά὾ེ

߆ࠄ๟ᣇะߦ 3/16 ߩ㗔ၞࠍಾࠅ಴ߒߚޟ3/16 ࡑ࡞࠴࠮

ࠢ࠲Ά὾ེޠߦ߅޿ߡ, CAEP4ၮḰ୯ߩ40%NOxឃ಴࡟

ࡌ࡞ࠍ㆐ᚑߒ, ⃻࿷ߪታᯏߣหᒻᘒߩⅣ⁁Ά὾ེߦࠃࠆ

⹜㛎ࠍታᣉਛߢ޽ࠆ[1-3]. ੹࿁ߩࠃ߁ߥታᯏΆ὾ེߩ 㐿⊒ߦ߅޿ߡߪ, ቯᩰ᧦ઙߢߩΆ὾ല₸߿NOx↢ᚑ㊂ߥ ߤߩΆ὾ᕈ⢻ࠍḩߚߔߎߣ߽ߐࠆߎߣߥ߇ࠄ, ⽶⩄ࠍਅ ߍߚ⁁ᘒߢߩ଻Ἳᕈ⢻߿ޔૐ᷷࡮ૐ࿶ߢߩ⌕Ἣᕈ⢻ࠍ⏕

଻ߔࠆߎߣߩఝవ㗅૏߇㜞ߊߥߞߡ߅ࠅޔᧄ⺰ᢥߢߪ,

਄⸥⥶ⓨᯏ↪ࠛࡦࠫࡦΆ὾ེߩ㐿⊒ߩ৻Ⅳߣߒߡ, ⌕ Ἣ ࡮ ଻ Ἳ ᕈ ⢻ ߩ ะ ਄ ࠍ ⋡ ᜰ ߒ ߡ ⴕ ࠊ ࠇ ߚ CFD(Computational Fluid Dynamics)⸃ᨆߦߟ޿ߡㅀߴࠆ.

ߎߩCFD⸃ᨆߩ⋡⊛ߪ, Ά὾ེߩ㐿⊒ߩೋᦼᲑ㓏ߦ߅ߌ ࠆࠬࠢ࡝࡯࠾ࡦࠣ૞ᬺߦ᦭⋉ߥCFDᛛⴚࠍ᭴▽ߔࠆߎߣ ߢ޽ࠆ.

Ά὾ེߩࠃ߁ߥታ㛎ࠦࠬ࠻ߩ㜞޿⵾ຠࠍ⍴ᦼ㑆, ૐࠦ

ࠬ࠻ߢ㐿⊒ߔࠆߚ߼ߦߪ, 㐿⊒ߩೋᦼᲑ㓏ߦ߅ߌࠆࠬࠢ

࡝࡯࠾ࡦࠣ૞ᬺࠍല₸⊛ߦⴕ߁ߎߣ߇㊀ⷐߢ޽ࠆ߇, ߘ ߩߚ߼ߦߪ, ᢙᄙߊߩࠤ࡯ࠬߩᖱႎࠍ෼㓸ߔࠆ⢻ജߣ, ฦࠤ࡯ࠬߩᕈ⢻ߩఝഠࠍ⊛⏕ߦ್ᢿߔࠆ⢻ജ߇ᔅⷐߢ޽

ࠆ. Άᢱߩᓸ☸ൻ⃻⽎, Ά὾෻ᔕࠍ฽߻CFD⸃ᨆߪ, ㄭ ᐕ㕖Ᏹߦ♖ജ⊛ߦ⎇ⓥ[4-5]߇ߥߐࠇߡ߈ߡ޿ࠆ߇, ⃻ᤨ

ὐߢߩ⸘▚ᯏ⢻ജߢߪ, ⸘▚♖ᐲ, ⸘▚ᤨ㑆╬ߩ໧㗴߇

޽ࠆ. ߹ߚ, 㕖Ά὾႐ߩCFD⸃ᨆߪ, ޽ࠆ⒟ᐲା㗬ᕈ߇

଻⸽ߐࠇߡ޿ࠆ⚿ᨐ߇⍴ᤨ㑆ߢᓧࠄࠇࠆߚ߼, ㄭᐕᄙߊ ߩࡔ࡯ࠞ, ⎇ⓥᯏ㑐ߢⓍᭂ⊛ߦ೑↪ߐࠇࠆࠃ߁ߦߥߞߡ ߈ߡ޿ࠆ߇, ⃻ᤨὐߢΆ὾ེߩΆ὾ᕈ⢻ߩఝഠࠍ್ᢿߔ ࠆ⏕┙ߐࠇߚᚻᴺࠍឭଏߒߡ޿ࠆߣߪ⸒޿㔍޿.

ߎߩࠃ߁ߥ⃻⁁ࠍ〯߹߃, ᧄ⎇ⓥߢߪ, JAXAߢ㐿⊒ߒ ߡ޿ࠆዊဳ⥶ⓨᯏࠛࡦࠫࡦ↪Ά὾ེࠍࡕ࠺࡞ߣߒߡ, 㕖 Ά὾႐ߩቯᏱ⸘▚ࠍታᣉߒ, ߘߩ⚿ᨐߣ, 㐿⊒ߩㅜਛߢ ᓧࠄࠇߚታ㛎⚿ᨐߣߩᲧセ߆ࠄ, ଻Ἳ, ⌕Ἣᕈ⢻ߩఝഠ ࠍ᳿ቯߔࠆ㓙ߦᜰᮡߣߥࠆࡄ࡜ࡔ࡯࠲ࠍᬌ಴ߔࠆ. ߐࠄ ߦ, ߘߩࡄ࡜ࡔ࡯࠲ࠍ↪޿ߡ㜞޿଻Ἳᕈ⢻߇ᦼᓙߐࠇࠆ Ά὾ེࠍឭ᩺ߔࠆ.

⸃ᨆኻ⽎

࿑1 ߪ, ੹࿁ߩCFD⸃ᨆߩኻ⽎ߣߥࠆታ㛎ߢ૶↪ߐࠇ ߚ3/16ࡑ࡞࠴࠮ࠢ࠲Ά὾ེࠍ␜ߒߚ߽ߩߢ޽ࠆ. ࿑1(a) ߪ, ᢳ߼਄ᵹ߆ࠄ᠟ᓇߒߚ߽ߩߢ, Ⅳ⁁ߦ 3 ୘ߩΆᢱ ࡁ࠭࡞߇␜ߐࠇߡ޿ࠆ. ࿑ 1(b)ߪ, ࿑ 1(a)ߩΆ὾ེ߆ࠄ Άᢱࡁ࠭࡞ࠍߪߕߒߡ, ਄ᣇ߆ࠄ᠟ᓇߒߚ߽ߩߢ, ⓨ᳇

ߩᵹࠇߪ࿑ਛ⿒✢ߢ␜ߐࠇࠆࠃ߁ߦ਄߆ࠄਅ߳ߣߥߞߡ

޿ࠆ. ᧄΆ὾ེߢߪ࡝࠶࠴࡮࡝࡯ࡦΆ὾ࠍⴕ߁ߚ߼ߦ, Άᢱࡁ࠭࡞ઃㄭߩ㗔ၞࠍㆊỚΆ὾⁁ᘒߣߒ, ߘߩᓟ࿑

1(b)ߦ␜ߐࠇࠆਛᄩㇱߦ 6 ୘ᏀฝߦਗࠎߛΆ὾↪ⓨ᳇ሹ

߆ࠄዉ౉ߐࠇࠆⓨ᳇ࠍ↪޿ߡᕆㅦߦᏗ㉼ߒ, Ꮧ⭯Ά὾ࠍ ⴕߞߡ޿ࠆ.

Ά὾↪ⓨ᳇ሹࠃࠅਅᵹၞߦ߅޿ߡ 9 ୘Ꮐฝߦਗࠎߛ

ⓨ᳇ሹߪᏗ㉼↪ⓨ᳇ሹߢ, ࠲࡯ࡆࡦ߳ㆇ߫ࠇࠆⓨ᳇ߩ᷷

ᐲࠍਅߍ, ᷷ᐲಽᏓࠍ৻᭽ߦߔࠆߚ߼ߩⓨ᳇ࠍዉ౉ߔࠆ ᓎ⋡߇޽ࠆ. ߹ߚ, Ά὾↪ⓨ᳇ሹߩ਄ᵹၞߣᏗ㉼↪ⓨ᳇

ሹߩਅᵹၞߦ⸳ߌࠄࠇߡ޿ࠆᄙᢙߩዊߐߥ಄ළ↪ⓨ᳇ሹ ߆ࠄߪ, ო㕙ߩㆊᾲࠍ㒐ߋߚ߼ߩⓨ᳇߇ო㕙ߦᴪ߁ࠃ߁ ߦዉ౉ߐࠇࠆ.

ᧄΆ὾ེߢߪ, ⌕Ἣ᧦ઙߦ߅ߌࠆΆᢱࡁ࠭࡞ㄭறߩዪ ᚲᒰ㊂Ყࠍ 1 ઃㄭߣߔࠆߚ߼ߦ, Άᢱࡁ࠭࡞એᄖߩΆ

὾࡮Ꮧ㉼࡮಄ළ↪ⓨ᳇ᵹ㊂߇ోᵹ㊂ߩ⚂9ഀߣߥߞߡ߅ ࠅ, ࡁ࠭࡞ߩ․ᕈߩߺߥࠄߕ, ฦⓨ᳇ߩዉ౉૏⟎࡮ⓨ᳇

㊂㈩ಽ߇Ά὾ེߩᕈ⢻ࠍᄢ߈ߊᏀฝߔࠆ߽ߩߣߥߞߡ޿

ࠆ. ․ߦΆ὾↪ⓨ᳇ሹߪ࡝࠶࠴࡮࡝࡯ࡦΆ὾ߦ⋥ធ㑐ࠊ ߞߡߊࠆⓨ᳇ࠍዉ౉ߒߡ޿ࠆߚ߼, ߘߩ㈩⟎࡮ᄢ߈ߐߪ 㕖Ᏹߦ㊀ⷐߢ޽ࠆ. ᓥߞߡᧄ⺰ᢥߢߪΆ὾↪ⓨ᳇ሹߩ㈩

⟎ߦᵈ⋡ߒߡ⼏⺰ࠍㅴ߼ࠆ.

(a)ᢳ߼਄ᵹ߆ࠄΆᢱࡁ࠭࡞ࠍ᠟ᓇ (b)਄ᣇ߆ࠄฦⓨ᳇ሹࠍ᠟ᓇ

࿑ 1 3/16ࡑ࡞࠴࠮ࠢ࠲Ά὾ེ

⸃ᨆᚻᴺ

ᧄ┨ߢߪ, ੹࿁ⴕߞߚCFD⸃ᨆߩ⸘▚ᣇᴺਗ߮ߦ⸘▚

ߢ૶↪ߒߚ⸘▚ᩰሶߦߟ޿ߡㅀߴࠆ.

⸘▚ᣇᴺ

ᧄCFD⸃ᨆߢߪޔJAXA㐿⊒ߩਃᰴర࿶❗ᕈࠦ࡯࠼ߢ

޽ࠆUPACS (Unified Platform for Aerospace Computational Simulation) [6][7]ࠍ૶↪ߒߡ޿ࠆ. UPACSߦߪ᭽ޘߪ⸘

▚ᚻᴺ߇⚵ߺㄟ߹ࠇߡ޿ࠆ߇, ੹࿁૶↪ߒߚਥߥ⸘▚ᚻ ᴺߪએਅߩㅢࠅߢ޽ࠆ.

ᣇ⒟ᑼ 㧦 RANS(Reynolds-Averaged Navier-Stokes equations)

ੂᵹࡕ࠺࡞㧦Spalart-Allmaras

ⓨ㑆㔌ᢔൻ㧦᦭㒢૕Ⓧᴺ

ᤨ㑆Ⓧಽ 㧦MFGS(Matrix Free Gauss Seidel) 㒶⸃ᴺߣ ዪᚲᤨ㑆ೞᴺߩ૬↪

㜞ᰴ♖ᐲൻ㧦 MUSCL(Monotone Upstream-centered

Schemes for Conservation Laws)ᴺ

ᩰሶ 㧦᭴ㅧᩰሶ(ࡑ࡞࠴ࡉࡠ࠶ࠢᴺߣ㊀วᩰሶߩ ૬↪)

ᧄCFD⸃ᨆߪ, ታ㛎⚿ᨐߣߩᲧセࠍ೨ឭߣߒߡ޿ࠆߚ

߼, ࡊ࡟࠺ࠖࡈࡘ࡯ࠩ, ࠤ࡯ࠪࡦࠣ, ࡜ࠗ࠽, ࠞ࠙࡞╬

ࠍ⸘▚ኻ⽎ߦ฽߼, ታ㛎⁁ᴫࠍߥࠆߴߊᔘታߦౣ⃻ߒߡ

޿ࠆ. ߚߛߒ, ⸘▚⽶⩄ࠍዊߐߊߔࠆߚ߼ߦ, ታ㛎ߢ૶

↪ߐࠇߚ3/16ࡑ࡞࠴࠮ࠢ࠲ࡕ࠺࡞(࿑1ෳᾖ)ߦ߅ߌࠆ஥

ო㕙ߩᓇ㗀ߪਛᄩߩ࠮ࠢ࠲ߩᵹࠇ႐ߦߪᓇ㗀߇ዋߥ޿߽

ߩߣ઒ቯߒߡ, 1/16 ߩ㗔ၞߦ߅޿ߡ஥㕙ߦ๟ᦼႺ⇇᧦ઙ ࠍ↪޿ߡ⸘▚ࠍⴕߞߚ. ߹ߚⓨ᳇ሹߦ㑐ߒߡߪ, ಄ළ↪

ⓨ᳇ሹ߆ࠄዉ౉ߐࠇࠆⓨ᳇ߪ࡜ࠗ࠽ౝߩᵹࠇ႐ߦߪᓇ㗀 ߇ዋߥ޿߽ߩߣߒߡ, Ά὾↪ⓨ᳇ሹ෸߮Ꮧ㉼↪ⓨ᳇ሹߩ ߺࠍౣ⃻ߒߡ޿ࠆ. ߐࠄߦ, ⶄ㔀ᒻ⁁ߩ⸘▚ኻ⽎ࠍᛒ߁ ᚻᲑߣߒߡSteger[8]ࠄߦࠃߞߡឭ᩺ߐࠇߚ㊀วᩰሶᴺ* ࠍណ↪ߒߡ޿ࠆ.

⸘▚ᩰሶ

ᧄCFD⸃ᨆߢ૶↪ߒߚ⸘▚ᩰሶࠍ஥ᣇ߆ࠄ⷗ߚ߽ߩࠍ

࿑2(a), ᓟᣇ߆ࠄ⷗ߚ߽ߩࠍ࿑2(b)ߦ␜ߔ. ⼏⺰ߩ㓙ߩ

ᐳᮡ♽ߪ, ࡜ࠗ࠽೨㕙ߦ⸳⟎ߐࠇߚΆᢱࡁ࠭࡞㧔ࡇࡦ

ࠢ㧕಴ญߩਛᔃࠍේὐߣߒޔΆᢱࡁ࠭࡞ߩゲᣇะࠍxᣇ ะ, ࡜ࠗ࠽ߩ㜞ߐᣇะࠍ㨞 ᣇะ, ๟ᣇะࠍșᣇะߣߔ ࠆ. ᓥߞߡ࿑ 2(a)ߪ, Άᢱࡁ࠭࡞ਛᔃ(T 0)ࠍㅢࠆxr

ᢿ㕙, ࿑2(b)ߪ, rTᢿ㕙ࠍ␜ߒߡ޿ࠆߎߣߦߥࠆ.

㊀วᩰሶᴺߪ, ࡉࡠ࠶ࠢห჻ߩធ⛯ㇱ߇ቢోߦ৻⥌ߒ ߡ޿ߥ޿ᩰሶࠍ↪޿ࠆᣇᴺߢ, ࿑ 2(a)ߩ⇣ߥࠆ⦡ߢ␜ߐ ࠇࠆࡉࡠ࠶ࠢห჻ߩធ⛯ㇱߢណ↪ߐࠇߡ޿ࠆ. ࿑2(c)ߪ,

࿑ 2(a)ਛ, ྾ⷺߢ࿐߹ࠇߚㇱಽࠍ᜛ᄢߒߚ߽ߩߢ, Ά὾

↪, Ꮧ㉼↪ⓨ᳇ሹ(⿒⦡), ࠤ࡯ࠪࡦࠣ(ࠪࠕࡦ), ࡜ࠗ࠽(㕍

⦡)ߩᩰሶ߇㊀วᩰሶߦࠃߞߡធ⛯ߐࠇߡ޿ࠆ᭽ሶࠍ␜

ߒߚ߽ߩߢ޽ࠆ. ㊀วᩰሶᴺࠍ↪޿ࠆߎߣߦࠃࠅ, ㇱຠ

ߩᒻ⁁߿૏⟎ࠍᄌᦝߒߚ޿႐วߪޔᄌᦝߒߚ޿ㇱຠߩߺ ࠍ౉ࠇ឵߃ࠇ߫ᷣ߻ߩߢ⸘▚ᩰሶࠍ૞ᚑߔࠆᤨ㑆߇ᄢ᏷

ߦ⍴❗ߢ߈, ല₸ߩ⦟޿⸘▚߇น⢻ߣߥࠆ. ․ߦ੹࿁ߩ

CFD⸃ᨆߩࠃ߁ߦ, Ά὾↪ⓨ᳇ሹߩ૏⟎ߩߺࠍᄌᦝߐߖ

ߡᢙᄙߊߩࠤ࡯ࠬࠍᛒ޿ߚ޿႐วߦߪ᦭⋉ߢ޽ࠆ.

(a)Ά὾ེో૕ࠍ஥ᣇࠃࠅ⴫␜, (b) Ά὾ེో૕ࠍᓟᣇࠃࠅ⴫␜, (c)ฦⓨ᳇ሹ, ࠤ࡯ࠪࡦࠣ෸߮࡜ࠗ࠽(㊀วᩰሶ)

࿑ 2 ⸘▚ᩰሶ

ታ㛎⚿ᨐߣߩᲧセ

੹࿁ߩΆ὾ེߩ㐿⊒ߢߪ, ᦨೋߦ଻Ἳᕈ⢻ߦኻߔࠆΆ

὾↪ⓨ᳇ሹߩ㈩⟎ߩᓇ㗀ߣ⌕Ἣᕈ⢻ߦኻߔࠆࠗࠣ࠽ࠗ࠲

ߩ૏⟎ߩᓇ㗀ࠍΆ὾ታ㛎ߢ⺞ߴߡ޿ࠆ. ᧄ┨ߢߪ, ߘ ࠇࠄߩታ㛎⚿ᨐߣߩᲧセࠍⴕ߁ߎߣߦࠃࠅ, Ά὾ᕈ⢻ߣ 㑐ㅪߩ޽ࠆ㕖Ά὾ቯᏱCFD⸃ᨆ߆ࠄᓧࠄࠇࠆࡄ࡜ࡔ࡯࠲

ߩ⺞ᩏࠍ⹜ߺࠆ. ዏ, ଻Ἳ, ⌕Ἣਔታ㛎ߣ߽ߦ, ᄢ᳇࿶,

౉ญ᷷ᐲ10ࠑCઃㄭߢⴕࠊࠇߡ޿ࠆ.

଻Ἳᕈ⢻

࿑3ߪ, Ά὾ታ㛎ߦ߅޿ߡ଻Ἳᕈ⢻ࠍᲧセߒߚ2ࠤ࡯

ࠬߦ㑐ߒߡ, CFD⸃ᨆߦ૶↪ߒߚ⸘▚ᩰሶ߆ࠄࠞ࠙࡞, Άᢱࡁ࠭࡞, ࡜ࠗ࠽, ฦⓨ᳇ሹߩㇱಽࠍᛮ߈಴ߒߡ, ࿕

૕ო㕙ߩㇱಽࠍࠣ࡟࡯ߢ⌕⦡ߒߚ߽ߩߢ޽ࠆ. ࿑ 3(a)ߪޔ

࡜ࠗ࠽ߩ਄ਅ㕙ߦ߅ߌࠆⓣߩ૏⟎߇৻⥌ߒߡ޿ࠆ਄ਅኻ

ะ㈩⟎, ࿑ 3(b)ߪޔⓣߩ૏⟎߇੕޿㆑޿ߦߥߞߡ޿ࠆ਄

ਅජ㠽㈩⟎ߩΆ὾ེߢ޽ࠅ, ታ㛎ߢߪ, ජ㠽㈩⟎ߩᣇ߇

଻Ἳᕈ⢻߇㜞޿ߣ޿߁⚿ᨐ߇ᓧࠄࠇߡ޿ࠆ.

৻⥸⊛ߦΆ὾႐ߦ߅ߌࠆ଻Ἳᕈ⢻ߩఝഠߪ, z Άᢱࡁ࠭࡞ߩᓸ☸ൻᕈ⢻

z Άᢱࡁ࠭࡞߆ࠄ࡜ࠗ࠽ౝߦᵹ౉ߔࠆΆᢱߣⓨ᳇ߩ

ᷙว᳇߇Ά὾㗔ၞߦṛ࿷ߔࠆᤨ㑆

ߩ2ߟߩࡄ࡜ࡔ࡯࠲ߦࠃߞߡᡰ㈩ߐࠇࠆߣ⠨߃ࠄࠇࠆ߇, ߘࠇߙࠇߩᓇ㗀ߩᐲว޿ߪΆ὾ེߩᒻᘒߦଐሽߔࠆ. ߒ ߆ߒ, ੹࿁ߩᲧセታ㛎ߢߪ, หߓΆᢱࡁ࠭࡞ࠍ૶↪ߒⓨ

᳇ሹߩ㈩⟎ࠍᄌൻߐߖߡ޿ࠆߎߣ߆ࠄ, ᓸ☸ൻᕈ⢻ࠃࠅ

߽ᷙว᳇ߩṛ࿷ᤨ㑆ߩᣇ߇଻Ἳᕈ⢻ߦᓇ㗀ࠍ෸߷ߒߡ޿

ࠆߣ⠨߃ࠄࠇࠆ. ߘߎߢ, ᧄ⎇ⓥߢߪ߹ߕ, ฦΆ὾ེߩ Άᢱࡁ࠭࡞ߩ಴ญᢿ㕙ߦ৻᭽ߦᵹ✢ߩ⿠ὐࠍ⸳⟎ߒ, ߘ ߩᵹ✢߆ࠄ৻ᰴΆ὾㗔ၞߦ߅ߌࠆᷙว᳇ߩṛ࿷ᤨ㑆ࠍ᳞

߼ߚ. ዏ, ᧄΆ὾ེߢߪ, ࿑ 4 ߩࠪࠕࡦߩᄥ✢ߢ␜ߐࠇ ࠆ, Ά὾↪ⓨ᳇ሹߩਛᔃࠍㅢࠆrTᢿ㕙Hࠃࠅ਄ᵹၞ

ࠍ৻ᰴΆ὾㗔ၞߣߒߡ޿ࠆ. ࿑ 5(a)ߪ, ਄ਅኻะ㈩⟎Ά

὾ེߩ৻ᰴΆ὾㗔ၞࠍ࡜ࠗ࠽ᓟࠈ਄ᣇ߆ࠄ⌑߼ߚ߽ߩߢ, Ά὾↪ⓨ᳇ሹࠍᱷߒߡ࡜ࠗ࠽਄㕙ߩოࠍ೥㒰ߒߡ␜ߒߡ

޿ࠆ. ࿑ਛ, ྾ⷺߢ࿐߹ࠇߚ㗔ၞߩ⚡⦡ߩㇱಽ߇ᵹ✢ߩ

⿠ὐߢ޽ࠆ. ྾ⷺߢ࿐߹ࠇߚ㗔ၞࠍ᜛ᄢߒ, ⿠ὐߩ⸳⟎

㕙ᱜ㕙߆ࠄ⌑߼ߚ߽ߩ߇࿑ 5(b)ߦߥࠆ. ࡁ࠭࡞಴ญߦ⸳

⟎ߐࠇߚᵹ✢ߩ⿠ὐߪ, ৻ߟߩ⿠ὐ߇භ߼ࠆ㕙ⓍGs߇

╬ߒߊߥࠆࠃ߁ߦ, Άᢱࡁ࠭࡞ㇱߦ912୘⸳⟎ߐࠇߡ޿

ࠆ. Άᢱࡁ࠭࡞ౝߦ⸳ߌࠄࠇߡ޿ࠆΆᢱྃ಴ญ߆ࠄྃ಴

*UPACSߦ߅ߌࠆ㊀วᩰሶᴺߦ㑐ߒߡߪ, ෳ⠨ᢥ₂[9][10]ࠍෳᾖߩߎߣ.

ߐࠇߚΆᢱߪ, ታ㓙ߦߪߘߩઃㄭߦ㕖ቯᏱ࡮㕖৻᭽ߦಽ Ꮣߔࠆ߇, ᧄ⸃ᨆߢߪྃ಴ญࠃࠅਅᵹߩΆᢱࡁ࠭࡞಴ญ

ోၞ(⿠ὐࠍ㈩⟎ߒߚ㗔ၞ)ߦቯᏱߢ৻᭽ߦಽᏓߔࠆߣ઒

ቯߒߡ޿ࠆ. ࿑ 5(c)ߪ࿑ 5(a)ߦ␜ߐࠇࠆ⿠ὐ߆ࠄߩᵹ✢

ࠍ஥㕙ߦ๟ᦼႺ⇇᧦ઙࠍ⸳ቯߒߡឬ޿ߚ߽ߩߢ޽ࠆ.

࿑ 6ߪ, ࿑ 5(c)ߩฦᵹ✢ߩ゠〔਄ࠍㅢㆊߔࠆᵹ૕☸ሶ

߇৻ᰴΆ὾㗔ၞߦṛ࿷ߔࠆᤨ㑆't_n ࠍ᳞߼, ਄ਅኻะ㈩

⟎, ਄ਅජ㠽㈩⟎ߩ 2ࠤ࡯ࠬߦߟ޿ߡࡅࠬ࠻ࠣ࡜ࡓߣߒ ߡ߹ߣ߼ߚ߽ߩߢ޽ࠆ. ߎߩ࿑ߦ߅ߌࠆࡅࠬ࠻ࠣ࡜ࡓ ߪ৻ᰴΆ὾㗔ၞߦ߅޿ߡᵹ✢߇ᓴⅣߔࠆ࿁ᢙߢ⦡ಽߌߐ ࠇߡ߅ࠅ, ৻ᐲ߽ᓴⅣߖߕߦㅢㆊߒߚ߽ߩߪ⿒⦡ߢ, ৻ ᐲᓴⅣߒߚ߽ߩߪ✛⦡ߢ␜ߐࠇߡ޿ࠆ(࿑ 4bෳᾖ). ߎߩ

࿑߆ࠄ଻Ἳᕈ⢻߇㜞߆ߞߚ਄ਅජ㠽㈩⟎ߢߪ, ਄ਅኻะ

㈩⟎ߣᲧセߒߡ, ৻ᰴΆ὾㗔ၞߢΆᢱࡁ࠭࡞߆ࠄߩⓨ

᳇߇ᓴⅣߒ, 㐳޿ᤨ㑆ṛ࿷ߒߡ޿ࠆߎߣ߇ಽ߆ࠆ.

ߐࠄߦ⹦⚦ߦᵹࠇ႐ࠍ⺞ᩏߔࠆߚ߼ߦ, ⓨ᳇ߩో⾰㊂ ਛΆᢱࡁ࠭࡞߆ࠄߩⓨ᳇߇භ߼ࠆഀวࠍ, Άᢱࡁ࠭࡞, Ά὾↪ⓨ᳇ሹ, Ꮧ㉼↪ⓨ᳇ሹࠍ⿠ὐߔࠆᵹ✢ߩ゠〔߆ࠄ, ਅ⸥ߩᣇᴺߢ᳞߼ߚ. ߹ߕ, Ά὾↪ⓨ᳇ሹ, Ꮧ㉼↪ⓨ᳇

ሹߦᵹ✢ߩ⿠ὐࠍ࿑4ߩΆᢱࡁ࠭࡞ߩ႐วߣห᭽ߦ⸳⟎

ߔࠆ. ࿑ 7(a)ߦ, ਄ਅኻะ㈩⟎Ά὾ེߦ⸳⟎ߐࠇߚᵹ✢

ߩ⿠ὐࠍ㤛⦡(Ά὾↪ⓨ᳇ሹ਄㕙), ࠪࠕࡦ(Ά὾↪ⓨ᳇ሹ ਅ㕙)ߢ␜ߔ. ߐࠄߦ࿑ 7(b)ߪ, ࿑ 7(a)ߦ߅ߌࠆ྾ⷺߢ

࿐߹ࠇߚ㗔ၞࠍ᜛ᄢߒ, ⿠ὐߩ⸳⟎㕙ᱜ㕙߆ࠄ⌑߼ߚ࿑

ߢ, ᵹ✢ߩ⿠ὐߪ, Ά὾↪ⓨ᳇ሹߦߪ৻ߟߩ⿠ὐߩභ߼

ࠆ㕙ⓍGs߇Άᢱࡁ࠭࡞ߩ႐วߣ╬ߒߊߥࠆࠃ߁ 1320

୘⸳⟎ߐࠇߡ޿ࠆ. ዏ, Ꮧ㉼↪ⓨ᳇ሹߦ߽ห᭽ߦᵹ✢ߩ

⿠ὐ߇⸳⟎ߐࠇߡ޿ࠆ. ࿑7(c)ߪ, Ά὾↪ⓨ᳇ሹ(࿑7b) ࠍ⿠ὐߣߔࠆᵹ✢ࠍ஥㕙ߦ๟ᦼႺ⇇᧦ઙࠍ⸳ቯߒߡឬ޿

ߚ߽ߩߢ޽ࠆ.

ᰴߦ, ࿑ 5(c), ࿑ 7(c)ߢ␜ߐࠇࠆᵹ✢߆ࠄ, ৻ᰴΆ὾

㗔ၞߦ߅޿ߡ, ⓨ᳇ߩో⾰㊂ਛΆᢱࡁ࠭࡞߆ࠄߩⓨ᳇߇ භ߼ࠆഀวࠍ⸘▚ߔࠆߚ߼ߦ, ৻ᰴΆ὾㗔ၞࠍxᣇะ, rᣇะ, Tᣇะߦߘࠇߙࠇ 20×20×20 ୘ߩ࠮࡞ߦಽഀߔ ࠆ. Άᢱࡁ࠭࡞ߦ⿠ὐࠍN୘⸳⟎ߒ, ߘߩਛߢn⇟⋡ߩ ᵹ✢߇వ⒟ಽഀߒߚ(i,j,k)⇟⋡ߩ࠮࡞ߦ't_nṛ࿷ߒߚߣ ߔࠆߣ, ߘߩ࠮࡞ߦሽ࿷ߔࠆ⾰㊂m_n(i,j,k)ߪ,

n n

n i j k m t

m (, , ) ' , (4.1)

ߣ ߥ ࠆ. ߎ ߎ ߢ, m_n ߪn ⇟ ⋡ ߩ ᵹ ✢ ߇ ᜂ ߁ ᵹ ㊂, s

v m_{n n}&_n &

U ˜G ߢ, ⿠ ὐ ߦ ߅ ޿ ߡ ቯ ⟵ ߐ ࠇ, ࡁ ࠭ ࡞ ᵹ ㊂ mnozߣ

¦

n n

noz m

m ߩ㑐ଥ߇޽ࠆ.

ߐࠄߦ, ࠮࡞(i,j,k)ߦ߅ߌࠆΆᢱࡁ࠭࡞߆ࠄߩⓨ᳇ߩ

⾰㊂m_noz(i,j,k)ߪ,

) , , ( )

, , (

1

k j i m k

j i m

N n

n

noz

¦

ߢ᳞߼ࠄࠇࠆ. Ά὾↪෸߮Ꮧ㉼↪ⓨ᳇ሹߦኻߒߡ߽ห᭽

ߦ࠮࡞(i,j,k)ߦ߅ߌࠆ⾰㊂m_heat(i,j,k), m_dil(i,j,k)ࠍߘ ࠇߙࠇ᳞߼ࠆߣ, ࠮࡞(i,j,k)ߦ߅ߌࠆⓨ᳇ߩో⾰㊂ਛΆ ᢱࡁ࠭࡞߆ࠄߩⓨ᳇߇භ߼ࠆഀวRߪ,

) , , (

) , , ) (

, ,

( m i j k

k j i k m

j i R

total

noz , (4.3)

ߣߥࠆ. ߎߎߢ, ࠮࡞(i,j,k)ߩో⾰㊂m_total(i,j,k)ߪ,

) , , ( ) , , ( ) , , ( ) , ,

(ik j m i jk m i jk m i jk

m_{total noz heat dil} , (4.4)

ߢ޽ࠆ. ߹ߚ, ৻ᰴΆ὾㗔ၞో⾰㊂ਛΆᢱࡁ࠭࡞߆ࠄߩ

ⓨ᳇ߩභ߼ࠆഀวRߪ,

¦

¦

k j i

total total

k j i

noz noz

total noz

k j i m m

k j i m m

m R m

, ,

, ,

) , , (

) , , (

, , (4.5)

ߢ᳞߼ࠄࠇࠆ. ৻ᰴΆ὾㗔ၞߦ߅ߌࠆΆᢱࡁ࠭࡞߆ࠄߩ

ⓨ᳇ߩṛ࿷ᤨ㑆ߩᵹ㊂ᐔဋ'tߪ,

noz noz

n n n

n n

m m m

t m

t

'

'

¦

¦

, (4.6)

ߢ᳞߼ࠄࠇࠆ. ᑼ(4.5)ߣᑼ(4.6)ߩᲧセ߆ࠄ, Rߣ'tߩ㆑

޿ߪm_noz ࠍm_total ߢⷙᩰൻߔࠆ߆, m_nozߢⷙᩰൻߔࠆ

߆ߩ㆑޿ߣߥߞߡ޿ࠆ.

ߎߎߢ਄⸥ߩᣇᴺߢ, ਄ਅኻะ㈩⟎(࿑ 3a), ਄ਅජ㠽

㈩⟎(࿑ 3b)ߦኻߒߡ, Άᢱࡁ࠭࡞߆ࠄߩⓨ᳇ߩഀวRࠍ

᳞߼࿑8ߦ␜ߔ. ࿑8(a)(b)ߪ਄ਅኻะ㈩⟎, ࿑8(c)(d)ߪ

਄ਅජ㠽㈩⟎ߩ႐วߢ, ࿑ 8(a)(c)ߢߪ R߇ 0.8 એ਄,

࿑8(b)(d)ߢߪ0.2એਅߩ㗔ၞߩߺߦ╬୯✢ߩ⦡ࠍߟߌߡ

⴫␜ߒߡ޿ࠆ. ߎࠇࠄߩCFDߩ⚿ᨐߩ࿑ࠃࠅ, ਄ਅኻะ

㈩⟎ߢߪ, ਄ਅජ㠽㈩⟎ߣᲧセߒߡ, ৻ᰴΆ὾㗔ၞߦΆ

὾↪ⓨ᳇ሹ߆ࠄߩⓨ᳇߇ࠃࠅᄙߊᵹ౉ߒߡ߈ߡ޿ࠆߎߣ ߇ಽ߆ࠆ. ੹࿁ߩΆ὾ེߪ, ⌕Ἣ᧦ઙߦ߅ߌࠆዪᚲ╬㊂ Ყࠍ 1ߣߒߡ޿ࠆߩߢ, ৻ᰴΆ὾㗔ၞ߇ࡁ࠭࡞߆ࠄߩⓨ

᳇ߩߺߢḩߚߐࠇߚߣߒߡ߽ㆊỚ஥Ά὾㒢⇇ߦߪ㆐ߒߥ

޿.. ᓥ ߞ ߡR߇ ਄ ਅ ජ 㠽 ㈩ ⟎ ߩ ᣇ ߇ 㜞 ߊ ߥ ߞ ߡ ޿ ࠆ

CFD⸃ᨆ⚿ᨐߪ, ਄ਅජ㠽㈩⟎ߩᣇ߇଻Ἳᕈ⢻߇㜞޿ߣ

޿߁ታ㛎⚿ᨐߣኻᔕߒߡ޿ࠆ.

(a)਄ਅኻะ㈩⟎ (b)਄ਅජ㠽㈩⟎

࿑ 3 1/16࠮ࠢ࠲ࡕ࠺࡞ߩΆ὾↪ⓨ᳇ሹ㈩⟎

࿑ 4 ৻ᰴΆ὾㗔ၞ᭎ᔨ࿑

(a)Άᢱࡁ࠭࡞ࠍㅢㆊߔࠆᵹ✢ߩ⿠ὐ, (b)Άᢱࡁ࠭࡞᜛ᄢ࿑, (c)ታ㓙ߩᵹ✢

࿑ 5Άᢱࡁ࠭࡞ࠍ⿠ὐߣߔࠆᵹ✢

(a)਄ਅኻะ㈩⟎ (b)਄ਅජ㠽㈩⟎

࿑ 6 ฦΆ὾ེߦ߅޿ߡΆᢱࡁ࠭࡞ࠍㅢㆊߔࠆᷙว᳇߇৻ᰴΆ὾㗔ၞߦṛ࿷ߔࠆᤨ㑆't_n (ms)

(a) Ά὾↪ⓨ᳇ሹࠍㅢㆊߔࠆᵹ✢ߩ⿠ὐ, (b) Ά὾↪ⓨ᳇ሹ᜛ᄢ࿑, (c)ታ㓙ߩᵹ✢

࿑ 7 Ά὾↪ⓨ᳇ሹࠍ⿠ὐߣߔࠆᵹ✢

(a)(b)਄ਅኻะ㈩⟎, (c)(d)਄ਅජ㠽㈩⟎, (a)(c)R҈0.8ߩ㗔ၞ, (b)(d) R҇0.2ߩ㗔ၞ

࿑ 8 Άᢱࡁ࠭࡞߆ࠄߩⓨ᳇ߩഀวR

⌕Ἣᕈ⢻

೨▵ߢߪ, Άᢱࡁ࠭࡞߆ࠄᵹ౉ߔࠆⓨ᳇߇৻ᰴΆ὾㗔

ၞߦṛ࿷ߔࠆᤨ㑆't_n ߣΆᢱࡁ࠭࡞߆ࠄߩⓨ᳇ߩഀว Rߩⓨ㑆ಽᏓࠍ↪޿ߡ, Ά὾ታ㛎ߦ߅ߌࠆ଻Ἳᕈ⢻ߩ⚿

ᨐࠍ⺑᣿ߒߚ. ᧄ▵ߢߪ, ߐࠄߦ, Ά὾ታ㛎ߦ߅ߌࠆ⌕

Ἣᕈ⢻ߩ⚿ᨐࠍ㕖Ά὾CFDߩ⚿ᨐ߆ࠄ⺑᣿ߔࠆߎߣࠍ⹜

ߺࠆ.

੹࿁ߩዊဳ⥶ⓨᯏࠛࡦࠫࡦ↪Ά὾ེߩ㐿⊒ߢߪ, ଻Ἳ ᕈ⢻ߩ㜞߆ߞߚ਄ਅජ㠽㈩⟎Ά὾ེߦ߅޿ߡ, ⌕Ἣᕈ⢻

ߦ ኻ ߔ ࠆ ࠗ ࠣ ࠽ ࠗ ࠲ ߩ ૏ ⟎ ߩ ᓇ 㗀 ࠍ ⺞ ߴ ߡ ޿ ࠆ. ࿑

9(a)(b)ߦ, ⌕Ἣ⹜㛎ߢ૶↪ߒߚଏ⹜૕ߩ1/16࠮ࠢ࠲Ά὾

ེߩ਄㕙ߣਅ㕙ࠍ᠟ᓇߒߚ߽ߩࠍߘࠇߙࠇ␜ߔ. Άᢱ ࡁ࠭࡞ߪ࿑ߩᏀ஥ߦ૏⟎ߒ, ᵹࠇᣇะߪᏀ߆ࠄฝ߳ߣߥ ߞߡ޿ࠆ. ࿑ 9 ߦ␜ߐࠇࠆㅢࠅ, ࠗࠣ࠽ࠗ࠲ߣΆ὾↪

ⓨ᳇ሹߩ⋧ኻ⊛ߥ૏⟎㑐ଥ߇ᄌൻߔࠆࠃ߁ߦ࡜ࠗ࠽਄㕙 ߣਅ㕙 2▎ᚲߦ⸳⟎ߒߚߣߎࠈ, ਅ㕙ߦࠗࠣ࠽ࠗ࠲ࠍ⸳

⟎ߒߚᣇ߇⌕Ἣᕈ⢻߇㜞޿ߎߣ߇᣿ࠄ߆ߦߥߞߚ. ߎߎ ߆ࠄߪ, ਄㕙ߦ⸳⟎ߒߚࠗࠣ࠽ࠗ࠲ࠍࠗࠣ࠽ࠗ࠲ 1, ਅ 㕙ߦ⸳⟎ߒߚ߽ߩࠍࠗࠣ࠽ࠗ࠲ 2 ߣ๭߱ߎߣߦߔࠆ.

ዏ, ੹࿁ߩ⸘▚ߢߪ, ታ㛎ߦ޽ࠊߖߡ 1/16࠮ࠢ࠲Ά὾ེ

ߩ஥㕙ࠍ࿕૕ო㕙ߣߒߡ޿ࠆ.

࿑ 10 ߪ, ߘߩ⸘▚⚿ᨐ߆ࠄ೨▵ห᭽, Άᢱࡁ࠭࡞߆ ࠄߩⓨ᳇ߩභ߼ࠆഀวRߩⓨ㑆ಽᏓࠍ᳞߼, ฦήᰴరඨ ᓘr/D(Dߪ, ࡜ࠗ࠽㜞ߐ)ߦ߅ߌࠆRߩxT ᢿ㕙ಽᏓ ࠍ␜ߒߚ߽ߩߢ޽ࠆ. ߹ߚ, ࿑ 10 (a)㨪(c)ߪ, ࡜ࠗ࠽ਅ 㕙ઃㄭߩxTᢿ㕙ߢ޽ࠆߚ߼, ࠗࠣ࠽ࠗ࠲ 2 ߩ૏⟎ࠍ

ԙߢ, ࿑ 10(d)㨪(f)ߪ࡜ࠗ࠽਄㕙ઃㄭߩಽᏓࠍ␜ߒߡ޿

ࠆߩߢ, ࠗࠣ࠽ࠗ࠲1ߩ૏⟎ࠍԘߢ␜ߔ. ࿑10(d)㨪(f)ߦ ߅޿ߡԘઃㄭߦ, Άᢱࡁ࠭࡞߆ࠄߩⓨ᳇ߩഀวR߇㕖Ᏹ ߦૐ޿㗔ၞ߇ሽ࿷ߒߡ߅ࠅ, ߎߩ㗔ၞߦߪ, Ά὾↪ⓨ᳇

ሹ߆ࠄΆᢱࠍోߊ฽߹ߥ޿ⓨ᳇߇ᵹ౉ߒߡ߈ߡ޿ࠆߎߣ ߇⠨߃ࠄࠇࠆ. Ά὾ེౝㇱߢ⌕Ἣߔࠆߚ߼ߦߪ, ࠗࠣ࠽

ࠗ࠲߆ࠄߩἫ⧎ߦࠃߞߡ⌕ἫߒߚΆᢱ߇Ά߃ዧ߈ࠆ೨ߦ, Ἳ߇Ά߃⒖ࠆᔅⷐ߇޽ࠅ, ࠗࠣ࠽ࠗ࠲ 1ઃㄭߩࠃ߁ߦΆ ᢱߩ㕖Ᏹߦ⭯޿ᷙว᳇߇ᵹ౉ߒߡ޿ࠆ㗔ၞߢߪ, ⌕Ἣᕈ

⢻ߪૐߊߥࠆߣ⠨߃ࠄࠇࠆ. ߎߩࠃ߁ߥ⠨ኤ߆ࠄ⌕Ἣߩ 㓙ߩࠗࠣ࠽ࠗ࠲૏⟎ࠍㆬᛯߔࠆ㓙ߦߪ, Άᢱߩⓨ㑆⊛ߥ ಽᏓࠍ⍮ࠆᔅⷐ߇޽ࠅ, 㕖Ά὾CFD߆ࠄ᳞߼ࠄࠇࠆΆᢱ ࡁ࠭࡞߆ࠄߩⓨ᳇ߩභ߼ࠆഀวRߩⓨ㑆ಽᏓ߇㕖Ᏹߦ

᦭ലߢ޽ࠆน⢻ᕈ߇޽ࠆ.

(a)࡜ࠗ࠽਄㕙 (b)࡜ࠗ࠽ਅ㕙

࿑ 9 ⌕Ἣ⹜㛎ࠍⴕߞߚ1/16ࠪࡦࠣ࡞࠮ࠢ࠲ࡕ࠺࡞,

(a)r/D=-0.4, (b)r/D=-0.3, (c) r/D =-0.2, (d)r/D=0.4, (e)r/D=0.3, (f)r/D=0.2

࿑ 10 ฦήᰴరඨᓘᢿ㕙ߦ߅ߌࠆΆᢱࡁ࠭࡞߆ࠄߩⓨ᳇ߩഀวR

଻Ἳᕈ⢻ߩ㜞޿ⓨ᳇ሹ㈩⟎ߩឭ᩺

೨┨ߢߪ, ଻Ἳᕈ⢻, ⌕Ἣᕈ⢻ࠍ⺞ߴߚታ㛎⚿ᨐࠍ, 㕖Ά὾ቯᏱCFD⸃ᨆ߆ࠄᓧࠄࠇࠆࡄ࡜ࡔ࡯࠲ߦࠃߞߡ޽

ࠆ⒟ᐲ⺑᣿ߢ߈ࠆߎߣࠍ᣿ࠄ߆ߦߒߚ.

ߘߎߢᧄ┨ߢߪ, 㕖Ά὾CFD⸃ᨆߩ⚿ᨐ߆ࠄ, Ά὾ᕈ

⢻߇㜞޿ߣ⠨߃ࠄࠇࠆΆ὾ⓨ᳇ሹ㈩⟎ࠍឭ᩺ߔࠆ⹜ߺࠍ ⴕ߁. Ά὾ᕈ⢻ߩఝഠߪ, NOxឃ಴㊂, ଻Ἳᕈ⢻, Ά὾ല

₸╬, ᭽ޘߥᕈ⢻ߩਛߢ✚ว⊛ߦ⹏ଔߐࠇࠆ߽ߩߢ޽ࠆ ߇, ᧄ⎇ⓥߢߪ, ࠬࠢ࡝࡯࠾ࡦࠣ૞ᬺߦᓎ┙ߟCFDᛛⴚ

᭴▽ߩ╙৻ᱠߣߒߡ޽߃ߡ଻Ἳᕈ⢻ߦߩߺ⌕⋡ߔࠆ. ੹

࿁ߩΆ὾ེߪ, ⌕Ἣ᧦ઙߦ߅ߌࠆዪᚲ╬㊂Ყࠍ 1ઃㄭߣ ߒߡ޿ࠆߩߢ, ৻ᰴΆ὾㗔ၞ߇ࡁ࠭࡞߆ࠄߩⓨ᳇ߩߺߢ ḩߚߐࠇߚߣߒߡ߽৻ᰴΆ὾㗔ၞߩㆊỚ஥Ά὾㒢⇇ߦߪ

㆐ߒߥ޿. ᓥߞߡ, ৻ᰴΆ὾㗔ၞߦ߅ߌࠆΆᢱࡁ࠭࡞߆ ࠄߩⓨ᳇ߩഀวR߇ߥࠆߴߊ㜞޿Ά὾ⓨ᳇ሹ㈩⟎ࠍ⺞

ᩏߒߚ. ⺞ᩏࠍᆎ߼ࠆ㓙ߩၮḰߣߥࠆⓨ᳇ሹ㈩⟎ߣߒߡ ߪ, ታ㛎ߦ߅޿ߡ଻Ἳᕈ⢻ߩ㜞߆ߞߚ਄ਅජ㠽㈩⟎ࠍណ

↪ߒߡ޿ࠆ.

਄ਅㅒජ㠽㈩⟎

ᧄΆ὾ེߢߪ, Άᢱࡁ࠭࡞߆ࠄ࡜ࠗ࠽ౝߦᵹ౉ߔࠆⓨ

᳇ߪᣓ࿁ߒߡ޿ࠆߚ߼, ਄ਅජ㠽㈩⟎ߩࠃ߁ߦ਄ਅ㕙ߩ ሹ߇ኻ⽎ߦ㈩⟎ߐࠇߡ޿ߥ޿႐ว, ਄ਅߩ㈩⟎ࠍㅒߦߔ ࠆߣ(਄ਅㅒජ㠽㈩⟎)ᵹࠇ႐߇ᄌൻߔࠆน⢻ᕈ߇޽ࠆ.

ᓥߞߡ, ᧄ▵ߢߪ߹ߕ, ၮḰߣߥࠆ਄ਅජ㠽㈩⟎ߩᵹࠇ ႐ࠍℂ⸃ߔࠆᗧ๧߽฽߼ߡ, ਄ਅㅒජ㠽㈩⟎Ά὾ེߩ CFD⸃ᨆࠍⴕߞߚ.

࿑11ߢߪΆᢱࡁ࠭࡞߆ࠄߩⓨ᳇ߩഀวRࠍ᳞߼,R߇ 0.8એ਄ߩ㗔ၞࠍ࿑11 (a), 0.2એਅߩ㗔ၞࠍ࿑11 (b)ߦߘ ࠇߙࠇ␜ߔ. ࿑ 8 ߣߩᲧセ߆ࠄ, ਄ਅජ㠽㈩⟎(࿑ 8c,d) ߣ਄ਅㅒජ㠽㈩⟎(࿑11a,b)ߪ߶߷R߇ห╬ߢ޽ࠆ߇, ਄ ਅኻะ㈩⟎(࿑ 8a,b)ߪ, ⪺ߒߊഀวR߇ዊߐߊߥߞߡ޿

ࠆߎߣ߇ಽ߆ࠆ. ታ㓙ߦ৻ᰴΆ὾㗔ၞో⾰㊂ߦ߅ߌࠆഀ

วRࠍ᳞߼ࠆߣ, ߘࠇߙࠇ0.46, 0.647, 0.67ߣߥߞߚ(⴫

1 ෳᾖ). ߹ߚ, ਄ਅජ㠽㈩⟎ߣ਄ਅㅒජ㠽㈩⟎ߢߪಽᏓ ߇Ꮐฝㅒォߒߡ޿ࠆߎߣ߽, ࿑ 8(c)(d)ߣ࿑ 11 ࠍᲧセߔ ࠆߣಽ߆ࠆ.

ߎߩᏀฝߩಽᏓ߇ㅒォߒߡ޿ࠆℂ↱ࠍ⺞ߴࠆߚ߼ߦ,

࿑12(a)(b)ߦ਄ਅජ㠽㈩⟎, ࿑12(c)(d)ߦ਄ਅㅒජ㠽㈩⟎

ߦ߅޿ߡΆ὾↪ⓨ᳇ሹࠍ⿠ὐߣߒߚᵹ✢ࠍߘࠇߙࠇ␜ߔ.

࿑ 12(a)(c)ߪ৻ᰴΆ὾㗔ၞࠍਅᵹ߆ࠄ⷗ߚ߽ߩߢ, ࿑ߦ

ߪ, Άᢱࡁ࠭࡞߆ࠄ࡜ࠗ࠽ߦᵹ౉ߒߚⓨ᳇ߩᣓ࿁ᣇะ߽

␜ߒߡ޿ࠆ. ᵹ✢ߩ⦡ߪᏀ߆ࠄ✛, ࠪࠕࡦ, 㕍⦡, ࡇࡦ

ࠢ, ✛ߢ, ਔ┵ߩ✛ߢ␜ߐࠇࠆᵹ✢ߪห৻ߩሹࠍ⿠ὐߣ

ߒߚ߽ߩߣߥߞߡ޿ࠆ. ዏ, ৻ᰴΆ὾㗔ၞߦ߅ߌࠆᵹ✢

ߩ᜼േࠍ⷗߿ߔߊߔࠆߚ߼ߦ, ৻ᰴΆ὾㗔ၞࠃࠅਅᵹߩ ᵹ✢ߪ೥㒰ߒߡ޿ࠆ. ࿑ 12(a)(㨏)߆ࠄ, ਛᄩߦਗ߱ਃ୘

ߩሹ߆ࠄᵹ౉ߒߚⓨ᳇ߩᵹ✢(ࠪࠕࡦ, 㕍⦡, ࡇࡦࠢ)ߪ, ᄙߊ߇ኻ㕙ოߦⴣ⓭ᓟ, Άᢱࡁ࠭࡞߆ࠄ࡜ࠗ࠽ߦᵹ౉ߒ ߚⓨ᳇ߩᣓ࿁ᣇะߦᦛ߇ߞߡ޿ࠆߎߣ߇ಽ߆ࠆ. ߐࠄߦ,

਄ਅජ㠽㈩⟎(࿑ 12a)ߢߪࠪࠕࡦߣ㕍⦡ߩᵹ✢߇, ਄ਅ ㅒජ㠽㈩⟎(࿑ 12b)ߢߪ㕍⦡ߣࡇࡦࠢߩᵹ✢߇⛊߹ࠅ޽

޿ߥ߇ࠄ࿁ォߒ, ❑᷵ࠍᒻᚑߔࠆ᭽ሶ߽ુ߃ࠆ.

࿑ 12(b)(d)ߪ, ߘࠇߙࠇߩΆ὾ེࠍ஥ᣇ߆ࠄ⷗ߚ࿑ߢ

޽ࠆ߇, ࿑ 12(a)(c)ߢ❑᷵ࠍᒻᚑߒߚᵹ✢(࿑ 12bߩ਄ਅ

ජ㠽㈩⟎㧦ࠪࠕࡦߣ㕍, ࿑ 12dߩ਄ਅㅒජ㠽㈩⟎㧦ࡇࡦ

ࠢߣ㕍)߇ਥߦ৻ᰴΆ὾㗔ၞߦᵹ౉ߒߡ߅ࠅ, ߘߩߚ߼

ߦ࿑ 8(c)(d), ࿑ 11 ߦ߅޿ߡRߩಽᏓߦᏀฝߩ஍ࠅ߇↢

ߓߡ޿ࠆߎߣ߇ಽ߆ࠆ.

Ά὾↪ⓨ᳇ሹઃㄭߩᵹࠇ႐ࠍߐࠄߦ⹦⚦ߦ⺞ߴࠆߚ

߼ߦ, ⓨ᳇ሹߩਛᔃࠍㅢࠆrTᢿ㕙H(࿑ 5a:ࠪࠕࡦߩ ᄥ✢)ߦ߅ߌࠆㅦᐲߩrᣇะㅦᐲᚑಽv_r[m/s]ߩಽᏓࠍ᳞

߼, ࿑13(a)ߦ਄ਅජ㠽㈩⟎, (b)ߦ਄ਅㅒජ㠽㈩⟎ߩ႐ว

ࠍߘࠇߙࠇ␜ߔ. ࿑ 13 ߦߪ, Άᢱࡁ࠭࡞ࠍ⿠ὐߣߔࠆ ᵹ✢߇ᢿ㕙Hࠍㅢㆊߒߚ૏⟎ࠍ㔌ᢔὐߢ㊀ߨߡ␜ߒߡ

޿ࠆ. ὐߩ⦡ߪ, Άᢱࡁ࠭࡞߆ࠄߩᵹࠇ߇৻ᰴΆ὾㗔ၞ

ߢᓴⅣߒߚ߆ߤ߁߆ߢ඙೎ߐࠇߡ߅ࠅ, ⚡⦡ߩὐߪᓴⅣ ߖߕߦ, ࡇࡦࠢߩὐߪ৻ᐲએ਄ᓴⅣࠍߒߡᢿ㕙Hࠍㅢ ㆊߒߚ߽ߩߣߥߞߡ޿ࠆ. ߎߩ࿑߆ࠄΆᢱࡁ࠭࡞߆ࠄߩ

ⓨ᳇ߩᵹ✢ߪ, ᢿ㕙Hߦ߅޿ߡ, ਄ਅਔო㕙ㄭறߩⓨ᳇

ሹߣⓨ᳇ሹߩ㑆ࠍㅢㆊߒߡ޿ࠆߎߣ߇ಽ߆ࠆ. ߎߩ௑ะ ߪ․ߦ৻ᰴΆ὾㗔ၞߦ߅޿ߡᓴⅣࠍߖߕߦㅢㆊߔࠆᵹ✢

(⚡⦡)ߦ㗼⪺ߢ޽ࠆ. ߹ߚ, Ά὾↪ⓨ᳇ሹ߆ࠄߩᵹ✢ࠍ

␜ߒߚ࿑ 12(a)(c)ߣᲧセߔࠆߣ, Άᢱࡁ࠭࡞߆ࠄߩⓨ᳇

ߪਥߦ࿑ 12(a)(c)ߩ྾ⷺߢ࿐߹ࠇߚ㗔ၞ߆ࠄਅᵹߩᵹ಴

ߒߡ޿ࠆߎߣ߽ಽ߆ࠆ. ߎߩ㗔ၞߢߪ, ਛᄩߩΆ὾↪ⓨ

᳇ሹ߆ࠄᵹ౉ߒߚᵹ✢(㕍⦡)߇ኻ㕙ოߦⴣ⓭ߒߚ㓙ߦᦛ ߍࠄࠇߚㅒ஥ߦሽ࿷ߒ, Ά὾↪ⓨ᳇ሹ߆ࠄߩᵹ✢߇߶ߣ ࠎߤሽ࿷ߒߡ޿ߥ޿. Άᢱࡁ࠭࡞߆ࠄߩⓨ᳇ߩഀวRࠍ ᄢ߈ߊߔࠆߚ߼ߦߪ, Άᢱࡁ࠭࡞߆ࠄᵹ౉ߔࠆⓨ᳇߇

৻ᰴΆ὾㗔ၞౝߢᓴⅣߔࠆߎߣ߇ᔅⷐߢ޽ࠆ. ᓥߞߡ, Rࠍᄢ߈ߊߔࠆߚ߼ߦߪ, ࿑ 12(a)(c)ߩ྾ⷺߢ࿐߹ࠇߚ 㗔ၞࠍΆ὾↪ⓨ᳇ሹ߆ࠄᵹ౉ߔࠆⓨ᳇ߢḩߚߒ, Άᢱࡁ

࠭࡞߆ࠄᵹ౉ߔࠆⓨ᳇ߩㅢㆊࠍ㒐߇ߥߊߡߪ޿ߌߥ޿ߣ

⠨߃ࠄࠇࠆ.

(a)R҈0.8ߩ㗔ၞ (b) R҇0.2ߩ㗔ၞ

࿑ 11 ਄ਅㅒජ㠽㈩⟎ߦ߅ߌࠆΆᢱࡁ࠭࡞߆ࠄߩⓨ᳇ߩഀวR

(a)(b)਄ਅජ㠽㈩⟎, (c)(d)਄ਅㅒජ㠽㈩⟎

࿑ 12 Ά὾↪ⓨ᳇ሹࠍ⿠ὐߣߔࠆᵹ✢

(a)਄ਅජ㠽㈩⟎ (b)਄ਅㅒජ㠽㈩⟎

࿑ 13 Ά὾↪ⓨ᳇ሹߩਛᔃࠍㅢࠆᢿ㕙Hߦ߅ߌࠆㅦᐲߩrᣇะᚑಽv_r[m/s]ಽᏓߣΆᢱࡁ࠭࡞ࠍ⿠ὐߣߔࠆᵹ✢߇ᢿ 㕙Hࠍㅢㆊߔࠆ૏⟎ (⚡⦡㧦৻ᰴΆ὾㗔ၞߢᓴⅣήߒ, ࡇࡦࠢ㧦ᓴⅣ᦭ࠅ)

Ά὾↪ⓨ᳇ሹߩᢙࠍჇടߐߖߚ႐ว

೨▵ߦ߅޿ߡ, Ά὾↪ⓨ᳇ሹࠍㅢࠆᢿ㕙Hߦ߅ߌࠆ ᵹࠇ႐ߩ᭽ሶ(࿑ 13)߆ࠄ, Άᢱࡁ࠭࡞ࠍ⿠ὐߣߔࠆᵹ✢

ߪ, ࡜ࠗ࠽਄ਅ㕙ㄭறߩⓨ᳇ሹߣⓨ᳇ሹߩ㑆ࠍㅢㆊߒߡ

޿ࠆߎߣ߇᣿ࠄ߆ߦߐࠇߚ. ᓥߞߡᧄ▵ߢߪ, Άᢱࡁ࠭

࡞߆ࠄߩⓨ᳇߇৻ᰴΆ὾㗔ၞߦභ߼ࠆഀวRࠍჇടߐ ߖࠆ⋡⊛ߢ, ਄ਅජ㠽㈩⟎ߩΆ὾↪ⓨ᳇ሹࠍჇ߿ߒ, ⓨ

᳇ሹߣⓨ᳇ሹߩ㑆ߩ〒㔌ࠍዊߐߊߒߚΆ὾ེߩCFD⸃ᨆ ࠍⴕߞߚ(࿑ 14a,bෳᾖ). ߎߩ㓙, ሹߩᢿ㕙Ⓧߪ, Ά὾ེ

ో૕ߩ᦭ല㐿ญ㕙Ⓧ߇ᄌൻߒߥ޿ࠃ߁ߦ᳿ቯߒ, ฦሹ߆ ࠄᵹ౉ߔࠆᵹ㊂ߩᄌൻ㊂߇ 1㧑એౝߢ޽ࠆߎߣࠍ⏕⹺ߒ ߡ޿ࠆ.

࿑ 15 ߦߪ, ฦࠤ࡯ࠬߦ߅ߌࠆΆᢱࡁ࠭࡞߆ࠄߩⓨ᳇

ߩഀวRࠍ␜ߔ. ሹ߇ 2୘ߩ႐ว(࿑8c,d)ߣᲧセߔࠆߣ,

Ά὾↪ⓨ᳇ሹߩჇടߪ, ⓨ᳇ߩഀวRࠍᷫዋߐߖࠆലᨐ ߇޽ࠆߎߣ߇ಽ߆ࠆ. ৻ᰴΆ὾㗔ၞో⾰㊂ਛΆᢱࡁ࠭࡞

߆ࠄߩⓨ᳇ߩഀวR ߪ, ߘࠇߙࠇ 0.368, 0.375 ߢ޽ߞߚ (⴫1ෳᾖ).

࿑16ߦߪ, ᢿ㕙Hߦ߅ߌࠆᵹࠇ႐ࠍ␜ߔ߇, ⓨ᳇ሹ ߇ 2 ୘ߩ႐ว(࿑ 13)ߣᲧセߔࠆߣ, ᓴⅣࠍߖߕߦᢿ㕙 HࠍㅢㆊߔࠆΆᢱࡁ࠭࡞߆ࠄߩᵹ✢߇Ⴧടߒߡ޿ࠆߎ ߣ߇ಽ߆ࠆ. ߎࠇߪ,

z Ά὾↪ⓨ᳇ሹߢ৻୘޽ߚࠅߩᢿ㕙Ⓧ߇ᷫዋߒߚ ߎߣ

z 㓞ࠅว߁ኻะࠫࠚ࠶࠻ߣߩ㑆㓒ߩᷫዋߦ઻ߞߡ,

ࠫࠚ࠶࠻ห჻ߩᐓᷤߔࠆᐲว޿߇Ⴧߒߚߎߣ ߦࠃࠅΆ὾↪ⓨ᳇ሹ߆ࠄዉ౉ߐࠇࠆࠫࠚ࠶࠻߇ኻ㕙 ო߹ߢዯ߆ߥߊߥߞߚߚ߼ߣ⠨߃ࠄࠇࠆ.

(a)3୘ (b)4୘

࿑ 14 Ά὾↪ⓨ᳇ሹߩᢙࠍჇ߿ߒߚ႐วߩⓨ᳇ሹ㈩⟎࿑

(a)(b)3୘, (c)(d)4୘ (a)(c)R҈0.8ߩ㗔ၞ, (b)(d) R҇0.2ߩ㗔ၞ

࿑ 15 Άᢱࡁ࠭࡞߆ࠄߩⓨ᳇ߩഀวR

(a)3୘ (b)4୘

࿑ 16 Ά὾↪ⓨ᳇ሹߩਛᔃࠍㅢࠆᢿ㕙Hߦ߅ߌࠆㅦᐲߩrᣇะᚑಽv_r[m/s]ಽᏓߣΆᢱࡁ࠭࡞ࠍ⿠ὐߣߔࠆᵹ✢߇ᢿ 㕙Hࠍㅢㆊߔࠆ૏⟎ (⚡⦡㧦৻ᰴΆ὾㗔ၞߢᓴⅣήߒ, ࡇࡦࠢ㧦ᓴⅣ᦭ࠅ)

Ά὾↪ⓨ᳇ሹࠍ㧞୘ኻߦߒߚ႐ว

೨▵߹ߢߩ⼏⺰߆ࠄ, ᧄ⎇ⓥߩ⋡⊛ߢ޽ࠆΆᢱࡁ࠭࡞

߆ࠄߩⓨ᳇ߩഀวRࠍᄢ߈ߊߔࠆߚ߼ߦߪ, Άᢱࡁ࠭࡞

߆ࠄߩⓨ᳇߇਄ਅਔ㕙ઃㄭߩΆ὾↪ⓨ᳇ሹ㑆ߩ㓗㑆ࠍߔ ࠅᛮߌࠆߩࠍ, ኻ㕙ߩⓨ᳇ሹ߆ࠄᵹ౉ߔࠆⓨ᳇(ࠫࠚ࠶

࠻)ߦࠃߞߡ㒐ߋᔅⷐ߇޽ࠆߎߣ߇ಽ߆ߞߚ. ߒ߆ߒ, ⃻

࿷ߩ਄ਅජ㠽㈩⟎Ά὾ེߢߪ, ኻ㕙ߦ㆐ߒߚࠫࠚ࠶࠻߇ Άᢱࡁ࠭࡞߆ࠄᵹ౉ߔࠆᣓ࿁ᵹߦࠃߞߡᦛߍࠄࠇࠆߚ߼, ߘߩㅒ஥ߦ㓗㑆߇಴᧪ߡߒ߹߁ߎߣ߽᣿ࠄ߆ߦߐࠇߚ

(࿑ 12a,cෳᾖ). ᓥߞߡ, ᧄ▵ߢߪ, ࠃࠅᒝ޿⽾ㅢജߩࠫ

ࠚ࠶࠻ࠍᒻᚑߔࠆߎߣߦࠃࠅ, ᣓ࿁ᵹߩᓇ㗀ࠍ߁ߌߕߦ

ⓨ᳇ሹ㑆ߩ㓗㑆ࠍၒ߼ࠆࡕ࠺࡞ࠍ⠨᩺ߔࠆ.

⽾ㅢജࠍᒝߊߔࠆߚ߼ߦሹߩᢿ㕙Ⓧࠍᄢ߈ߊߔࠆߎ ߣ߇⠨߃ࠄࠇࠆ߇, ⃻࿷ߩᵹ㊂ࠍ⛽ᜬߔࠆߚ߼ߦߪ ሹ ߩᢙࠍ 1୘ߦᷫࠄߐߥߌࠇ߫ߥࠄߕ, ๟ᣇะߩ㕖৻᭽ᕈ ߇Ⴧߔෂ㒾ᕈ߇޽ࠆ. ߹ߚ, ๟ᣇะߩ৻᭽ᕈࠍ଻ߟߚ߼

ߦޔሹߩᒻ⁁ࠍᬦ౞߽ߒߊߪ㐳ᣇᒻߦߔࠆߎߣ߇⠨߃ࠄ ࠇࠆ߇, ᒻ⁁ࠍ᳿߼ࠆࡄ࡜ࡔ࡯࠲߇Ⴧ߃ߡߒ߹߁ߎߣߣ ടᎿᕈߩⷰὐ߆ࠄ੹࿁ߪណ↪ߒߥ߆ߞߚ.

એ਄߆ࠄ, ࿑ 17 ߦ␜ߔࠃ߁ߦΆ὾↪ⓨ᳇ሹࠍ 2 ୘ኻ ߦߒߚ㈩⟎ߩࡕ࠺࡞ߦኻߒߡCFD⸃ᨆࠍⴕߞߚ. ࿑ 18 ߦߪ਄ਅⓨ᳇ሹ㈩⟎ࠍ2୘ኻߦߒߚ႐วߩᵹࠇ႐ߩ᭽ሶ

ࠍ␜ߔ. ࿑ 18(a)ߪ, ⓨ᳇ሹࠍ⿠ὐߣߒߚᵹ✢ߢ, 2 ୘ߩ

ሹ߆ࠄߩᵹ✢ߪߘࠇߙࠇ਄㕙ࠍ㕍⦡ߢ, ਅ㕙ࠍࠪࠕࡦߢ

␜ߒߡ޿ࠆ. ߎߩ࿑߆ࠄ, ኻ㕙ߦ㆐ߒߚ 2 ᧄߩࠫࠚ࠶࠻

߇ߘࠇߙࠇ๟ᣇะߩᏀฝߦ೎ࠇߡⓨ᳇ሹ㑆ߩ㓗㑆ࠍၒ߼

ߡ޿ࠆߎߣ߇ಽ߆ࠆ.

࿑ 18(b)ߦߪ, ᢿ㕙Hߦ߅ߌࠆᵹࠇ႐ߩ᭽ሶࠍ␜ߔ.

Άᢱࡁ࠭࡞߆ࠄߩᵹ✢߇ㅢㆊߒߚ૏⟎ࠍ਄ਅජ㠽㈩⟎ߩ

႐ว(࿑ 13)ߣᲧセߔࠆߣ, ਄ਅო㕙ㄭறࠍㅢㆊߔࠆΆᢱ

ࡁ࠭࡞߆ࠄߩⓨ᳇߇ᷫዋߒ, ৻ᰴΆ὾㗔ၞࠍᓴⅣߒߡ߆ ࠄᢿ㕙Hࠍㅢㆊߔࠆᵹ✢(ࡇࡦࠢ)߇㕖Ᏹߦᄙߊߥߞߡ޿

ࠆߎߣ߇ಽ߆ࠆ.

࿑ 18(c)(d)ߦߪ, Άᢱࡁ࠭࡞߆ࠄߩⓨ᳇ߩഀวRߩಽ

Ꮣࠍ␜ߔ. ⓨ᳇ሹࠍ 2୘ኻߦ㈩⟎ߔࠆߎߣߦࠃߞߡΆᢱ ࡁ࠭࡞߆ࠄߩⓨ᳇ߩഀวR߇⪺ߒߊᄢ߈ߊߥߞߡ޿ࠆ.

৻ᰴΆ὾㗔ၞో૕ߦ߅ߌࠆഀวRߪ, ਄ਅㅒජ㠽㈩⟎ߩ 0.67ߦኻߒߡ0.824ߣ⚂15㧑Ⴧടߒߚ(⴫1ෳᾖ).

࿑13ߣ࿑18ߩㅦᐲߩrᣇะᚑಽv_rߩಽᏓ߆ࠄ, ਄ਅ

ⓨ᳇ሹ㈩⟎ࠍ2 ୘ኻߦߒߚ႐ว, ⓨ᳇ሹ߆ࠄߩࠫࠚ࠶࠻

߇ᒝߊߥߞߡ޿ࠆ. ߎࠇߪ, ⓨ᳇ሹࠍ 2 ୘ኻߦߒߚߚ߼

ߦ, ਄ਅජ㠽㈩⟎ߩ႐วߩࠃ߁ߦ, 㓞ធߔࠆኻะࠫࠚ࠶

࠻ห჻߇߅੕޿ߦᒙ߼޽߁ߎߣࠍ㒐޿ߛߚ߼ߣ⠨߃ࠄࠇ ࠆ.

ᦨᓟߦ, Ά὾↪ⓨ᳇ሹࠍ2 ୘ኻߦߒߚ႐วߩΆᢱࡁ࠭

࡞ࠍㅢㆊߔࠆⓨ᳇߇৻ᰴΆ὾㗔ၞߦṛ࿷ߔࠆᤨ㑆't_n ࠍ

࿑ 19 ߦ␜ߔ. ࿑ 6(b)ߩ਄ਅජ㠽㈩⟎ߩ႐วߣᲧセߒߡ,

ᓴⅣߖߕߦ৻ᰴΆ὾㗔ၞࠍㅢㆊߔࠆⓨ᳇߇ᷫዋߒߡ߅ࠅ, ࠃࠅ଻Ἳᕈ⢻߇㜞߹ࠆน⢻ᕈ߇޽ࠆߣ⠨߃ࠄࠇࠆ.

࿑ 17 Ά὾↪ⓨ᳇ሹࠍ2୘ኻߦߒߚ႐วߩⓨ᳇ሹ㈩⟎࿑

(a)Ά὾↪ⓨ᳇ሹࠍ⿠ὐߣߔࠆᵹ✢, (b)Ά὾↪ⓨ᳇ሹਛᔃᢿ㕙Hߦ߅ߌࠆㅦᐲߩrᣇะᚑಽv_r[m/s]ಽᏓߣΆᢱ ࡁ࠭࡞ࠍ⿠ὐߣߔࠆᵹ✢߇ᢿ㕙Hࠍㅢㆊߔࠆ૏⟎ (⚡⦡㧦৻ᰴΆ὾㗔ၞߢᓴⅣήߒ, ࡇࡦࠢ㧦ᓴⅣ᦭ࠅ), (c)(d) Άᢱࡁ࠭࡞߆ࠄߩⓨ᳇ߩഀวR (c)R҈0.8ߩ㗔ၞ, (d) R҇0.2ߩ㗔ၞ

࿑ 18 Ά὾↪ⓨ᳇ሹࠍ2୘ኻߦߒߚ႐วߩᵹࠇ႐

࿑ 19 Ά὾↪ⓨ᳇ሹࠍ2୘ኻߦߒߚ႐วߦ߅޿ߡΆᢱࡁ࠭࡞ࠍㅢㆊߔࠆⓨ᳇߇৻ᰴΆ὾㗔ၞߦṛ࿷ߔࠆᤨ㑆't_n (ms)

⴫1 ฦΆ὾↪ⓨ᳇ሹ㈩⟎ߦ߅ߌࠆ৻ᰴΆ὾㗔ၞో⾰㊂ਛΆᢱࡁ࠭࡞߆ࠄߩⓨ᳇߇භ߼ࠆഀวR

ⓨ᳇ሹ㈩⟎ ਄ਅኻะ ਄ਅජ㠽 ਄ਅㅒජ㠽 3୘ 4୘ 2୘ኻ

ഀวR 0.46 0.647 0.67 0.368 0.375 0.824

⚿⺰෸߮੹ᓟߩ੍ቯ

JAXA㐿⊒ߩਃᰴర࿶❗ᕈࠦ࡯࠼UPACSߦ߅޿ߡ㊀ว

ᩰሶᴺࠍ↪޿ߚCFD⸃ᨆࠍ, ޟࠢ࡝࡯ࡦࠛࡦࠫࡦᛛⴚ⎇

ⓥ㐿⊒ޠߩ৻Ⅳߣߒߡⴕߞߚ. Ά὾ེ㐿⊒ߩ╙৻Ბ㓏ߢ

޽ࠆࠬࠢ࡝࡯࠾ࡦࠣ૞ᬺߦᓎ┙ߟCFDᛛⴚࠍ᭴▽ߔࠆ⋡

⊛ߢ, ታ㓙ߦⴕࠊࠇߚΆ὾ታ㛎ߩ⚿ᨐߣ㑐ㅪ߇޽ࠅ, 㕖 Ά὾ቯᏱCFD⸃ᨆ߆ࠄᓧࠄࠇࠆࡄ࡜ࡔ࡯࠲ࠍ⺞ᩏߒߚ.

ታ㛎⚿ᨐߣߩᲧセ߆ࠄߪએਅߩ⍮⷗߇ᓧࠄࠇߚ.

z Ά὾ታ㛎ߦ߅޿ߡ଻Ἳᕈ⢻߇㜞߆ߞߚ਄ਅජ㠽㈩

⟎ߩΆ὾ེߪ, Άᢱࡁ࠭࡞߆ࠄᵹ౉ߔࠆⓨ᳇߇৻

ᰴΆ὾㗔ၞߦ߅޿ߡṛ࿷ߔࠆᤨ㑆't_n ߇, ਄ਅኻ᛫

㈩⟎ߣᲧセߒߡ㐳޿ߎߣ߇CFD⸃ᨆߩ⚿ᨐ߆ࠄ᣿

ࠄ߆ߦߐࠇߚ.

z Ά὾ታ㛎ߦ߅޿ߡ, ⌕Ἣᕈ⢻ߩૐ߆ߞߚࠗࠣ࠽ࠗ

࠲ߩ⸳⟎૏⟎ઃㄭߢߪ, ోߊΆᢱߩ฽߹ࠇߡ޿ߥ

޿Ά὾↪ⓨ᳇ሹ߆ࠄߩⓨ᳇߇ᵹࠇㄟࠎߢ߈ߡ޿ࠆ ߎߣ߇CFD⚿ᨐ߆ࠄ᣿ࠄ߆ߦߐࠇߚ.

એ਄ߩᲧセ߆ࠄ, 㕖Ά὾CFD⸃ᨆ߆ࠄᓧࠄࠇࠆࡄ࡜ࡔ

࡯࠲߇Ά὾ታ㛎ߩ⚿ᨐࠍ޽ࠆ⒟ᐲ⺑᣿ߢ߈ࠆߎߣࠍ⏕⹺

ߒߚߩߢ, ታ㛎ߦవ┙ߞߡΆ὾ᕈ⢻ߩ㜞޿Ά὾↪ⓨ᳇ሹ ߩ㈩⟎ࠍCFD⸃ᨆ߆ࠄឭ᩺ߔࠆߎߣࠍ⹜ߺߚ. ࠬࠢ࡝࡯

࠾ࡦࠣ૞ᬺߦᓎ┙ߟCFDᛛⴚ᭴▽ߩ╙৻ᱠߣߒߡ޽߃ߡ

଻Ἳᕈ⢻ߦߩߺ⌕⋡ߒ, ৻ᰴΆ὾㗔ၞߦ߅ߌࠆΆᢱࡁ࠭

࡞߆ࠄߩⓨ᳇ߩഀวR߇ߥࠆߴߊ㜞޿Ά὾ⓨ᳇ሹ㈩⟎

ࠍ⺞ᩏߒߚ. Ά὾ታ㛎ߦ߅޿ߡ଻Ἳᕈ⢻ߩ㜞߆ߞߚ਄ਅ ජ㠽㈩⟎ࠍၮᧄߣߒߡᐞߟ߆ߩࠤ࡯ࠬߦߟ޿ߡCFD⸃ᨆ ࠍⴕ޿, એਅߩ⍮⷗ࠍᓧߚ.

z ਄ਅජ㠽㈩⟎ߦኻߒߡ਄ਅߩሹߩ૏⟎ࠍㅒߦߒߚ

਄ਅㅒජ㠽㈩⟎ߢߪ, ৻ᰴΆ὾㗔ၞో⾰㊂ਛΆᢱ ࡁ࠭࡞߆ࠄߩⓨ᳇ߩഀวRߩᄢ߈ߐߦኻߔࠆᓇ㗀 ߪ⷗ࠄࠇߥ߆ߞߚ. ߹ߚ, ਔ⠪ߩᲧセߩਛߢ, Άᢱ ࡁ࠭࡞߆ࠄ࡜ࠗ࠽ߦᵹ౉ߒߚⓨ᳇ߪ, ࡜ࠗ࠽਄ਅ 㕙ㄭறߩⓨ᳇ሹߣⓨ᳇ሹߩ㑆ࠍߔࠅᛮߌߡ޿ࠆߎ ߣࠍ᣿ࠄ߆ߦߒߚ.

z ਄ਅජ㠽㈩⟎ߩⓨ᳇ሹߩᢙࠍ, ⓨ᳇ሹᵹ㊂ࠍ⛽ᜬ ߔࠆࠃ߁ߦჇ߿ߒߚ႐ว, ⓨ᳇ሹߩ㧝୘ᒰߚࠅߩ ᢿ㕙Ⓧ߇ዊߐߊߥࠅ, ࠫࠚ࠶࠻ߩ⽾ㅢജ߇ᒙߊߥ ߞߡRߪዊߐߊߥߞߡߒ߹ߞߚ.

z ਄ਅජ㠽㈩⟎ߦ߅޿ߡ, ਄ਅߩⓨ᳇ሹࠍ 2 ୘ኻߦ

㈩⟎ߒߚߣߎࠈ, Rࠍ⪺ߒߊჇടߐߖࠆߎߣߦᚑ ഞߒߚ. ߎࠇߪ, ⓨ᳇ሹࠍኻߦߔࠆߎߣߦࠃࠅ, ⓨ

᳇ሹ߆ࠄᵹ౉ߔࠆࠫࠚ࠶࠻ߩ⽾ㅢജ߇Ⴧߒ, ኻ㕙 ߩⓨ᳇ሹ㑆ࠍല₸ࠃߊၒ߼ࠆߎߣ߇಴᧪ߚߚ߼ߢ

޽ߞߚ. ߹ߚ, ߎߩ㈩⟎ߩΆ὾ེߢߪ, Άᢱࡁ࠭࡞

߆ࠄߩⓨ᳇߇৻ᰴΆ὾㗔ၞߦṛ࿷ߔࠆᤨ㑆't_n ߽

ઁߩࠤ࡯ࠬࠃࠅ㐳ߊߥߞߡ޿ࠆߎߣ߽⏕⹺ߒߚ.

એ਄, ᧄ⎇ⓥߩ⋡⊛ߢ޽ࠆΆᢱࡁ࠭࡞߆ࠄߩⓨ᳇ߩභ

߼ࠆഀวRߩ୯߇ᄢ߈޿ⓨ᳇ሹ㈩⟎ࠍ⷗಴ߔߎߣ߇಴

᧪ߚ߇, ߎߩⓨ᳇ሹ㈩⟎ߩΆ὾ེߦࠃߞߡ, ଻Ἳᕈ⢻, Ά὾ല₸, NO㨤ឃ಴㊂╬ߩฦΆ὾ᕈ⢻߇, ✚ว⊛ߦᡷༀ ߔࠆ߆ߤ߁߆ߪታ㓙ߦΆ὾ታ㛎ࠍⴕࠊߥߌࠇ߫᣿ࠄ߆ߢ ߪߥ޿. ੹ᓟ, Ά὾ታ㛎, CFD⸃ᨆࠍ➅ࠅ㄰ߒⴕ߁ߎߣߦ ࠃࠅ, Ά὾ᕈ⢻ߩఝഠࠍ್ᢿߢ߈ࠆࡄ࡜ࡔ࡯࠲ࠍᮨ⚝ߒ, Ά὾ེ㐿⊒ೋᦼᲑ㓏ߦ߅ߌࠆࠬࠢ࡝࡯࠾ࡦࠣ૞ᬺߦᓎ┙

ߟCFDᛛⴚࠍ᭴▽ߒߡ޿ߊ੍ቯߢ޽ࠆ. 㕖Ά὾႐ߩቯᏱ

CFD⸃ᨆߪ, Ά὾႐ࠍ⼏⺰ߔࠆ㓙ߦᄙߊߩ઒ቯ߇ᔅⷐߣ

ߥࠆ߇, ታ㛎⚿ᨐߣߩᲧセᬌ⸛ࠍⴕ޿ߥ߇ࠄ, ⸃ᨆߩㆡ

↪ᛛⴚࠍ㜞߼, ⃻⽎ߩℂ⸃ࠍᷓ߼ࠆ࠷࡯࡞ߣߒߡ૶↪ߔ ࠆߎߣ߇㊀ⷐߢ޽ࠆ.

ෳ⠨ᢥ₂

[1] ’↰శᱜ, ઁ, (2005) ޟJAXAߦ߅ߌࠆࠛࠦࠛࡦࠫ

ࡦΆ὾ེߩ⎇ⓥ㐿⊒ޠ╙3࿁JAXA✚วᛛⴚ⎇ⓥᧄ ㇱ౏㐿⎇ⓥ⊒⴫ળ೨೚㓸

[2] ’↰శᱜ, ઁ, (2006) ޟ⥶ⓨࠛࡦࠫࡦⅣႺᛛⴚ⎇ⓥ

㐿⊒ࡊࡠࠫࠚࠢ࠻ߦ߅ߌࠆΆ὾ེ㐿⊒㧙ࡑ࡞࠴࠮

ࠢ࠲࡯Ά὾ེߦࠃࠆታ᷷ታ࿶⹜㛎㧙ޠ╙34࿁ࠟࠬ

࠲࡯ࡆࡦቯᦼ⻠Ṷળ

[3] Makida M. et al, (2006) "Preliminary Experimental Researches to Develop a Combustor for Small Class Aircraft Engine Utilizing Primary Rich Combustion Approach", Proceedings of GT2006 ASME Turbo Expo 2006, ASME GT2006-91156

[4] Iouri G. K. and Sergey F. O., (2004) "Application of CFD-Based Analysis Tool to the PS-90A/A2 Combustors to Achieve Low NO Emission Level", 40^th AIAA/ASME/SAE/ASEE Joint Propulsion Conference Exhibit, AIAA 2004-3878

[5] Riccio G., Schoepflin L., Adami P. and Martelli F., (2006) "Analysis of the Fuel Injection in Gas Turbine Premixing Systems by Experimental Correlations and Numerical Simulations", Proceedings of GT2006 ASME Turbo Expo 2006, ASME GT2006-90174

[6] ጊᧄ৻⤿, ઁ, (1999) ޟਗ೉⸘▚ࡊ࡜࠶࠻ࡈࠜ࡯ࡓ UPACSߦߟ޿ߡޠ⥶ⓨቝቮᢙ୯ࠪࡒࡘ࡟࡯࡚ࠪࡦ ᛛⴚࠪࡦࡐࠫ࠙ࡓ 1999 ⻠Ṷ㓸, ⥶ⓨቝቮᛛⴚ⎇ⓥ

ᚲ․೎⾗ᢱSP-44

[7] ጊᩮ ᢘ, ઁ, (2000) ޟCFDࠦ࡯࠼౒ㅢൻࡊࡠࠫࠚ

ࠢ࠻UPACSߩ⃻⁁ޠ⥶ⓨቝቮᢙ୯ࠪࡒࡘ࡟࡯࡚ࠪ

ࡦᛛⴚࠪࡦࡐࠫ࠙ࡓ 2000 ⻠Ṷ㓸, ⥶ⓨቝቮᛛⴚ⎇

ⓥᚲ․೎⾗ᢱSP-46

[8] Steger J. L., Dougherth F. C., and Benek J. Al, (1983)

"A Chimera Grid Scheme", Advances in Grid Generation, Chia, K. N. and Ghia, U., ASME FED-5,

pp.59-70

[9] ’↰శᱜ, 㜞ᧁ੫ᴦ, (2001) ޟUPACSߩ㊀วᩰሶኻ ᔕᴺߣㆡᔕ଀ޠ⥶ⓨቝቮᢙ୯ࠪࡒࡘ࡟࡯࡚ࠪࡦᛛ ⴚࠪࡦࡐࠫ࠙ࡓ 2001 ⻠Ṷ㓸, ⥶ⓨቝቮᛛⴚ⎇ⓥᚲ

․೎⾗ᢱSP-53

[10] ᧻᧛ᵗ␭, ઁ, (2004) ޟUPACSߩ㊀วᩰሶ⸃ᨆ ߦ߅ߌࠆ㊀วႺ⇇⸳ቯᚻᴺߦߟ޿ߡޠ ⥶ⓨቝቮ ᢙ୯ࠪࡒࡘ࡟࡯࡚ࠪࡦᛛⴚࠪࡦࡐࠫ࠙ࡓ2004⻠Ṷ 㓸, ቝቮ⥶ⓨ⎇ⓥ㐿⊒ᯏ᭴․೎⾗ᢱJAXA-SP-53