宇宙航空研究開発機構Japan Aerospace Exploration Agency

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宇宙航空研究開発機構特別資料

JAXA Special Publication

第４回 EFD/CFD 融合ワークショップ

The 4th Workshop on Integration of EFD and CFD

開催日：平成 23 年 1 月 25 日

開催場所：秋葉原コンベンションホール

2012 年 1 月

January 2012

宇宙航空研究開発機構

Japan Aerospace Exploration Agency

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目　次

1．開催趣意書 ……… 1

2．実行委員会　委員名簿 ……… 2

3 ．プログラム ……… 3 4．発表資料

1． Particle Tracking Accelerometry による PIV の粒子追従性問題からの解放

Release from tracer particle conditions using Particle Tracking Accelerometry ……… 5 村井祐一（北海道大学）

2．流体科学と EFD/CFD 融合：乱流研究から見る平均場ダイナモ Fluid Science and EFD/CFD Integration:

　Mean-Field Dynamo in Light of Turbulence Research ……… 23 吉澤　徴（JAXA、客員）

3．気象学における 4 次元変分法データ同化

4-Dimensional Variational Data Assimilation in Meteorology ……… 35 露木　義（気象研究所予報研究部）

4． JAXA「次世代超音速機技術の研究開発」計画における EFD/CFD 連携と将来の課題

Complementary role and challenge of EFD and CFD on the National Experimental

　Supersonic Transport Program by JAXA ……… 51 吉田憲司（JAXA）

5．日本における EFD/CFD 融合－ JAXA からの提言－

Integration of EFD and CFD in Japan– A Proposal from JAXA – ……… 77 口石　茂、渡辺重哉、相曽秀昭、松尾裕一（JAXA）

5．パネルディスカッション「日本における EFD/CFD 融合の方向性」 ……… 97

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The 4th Workshop on Integration of EFD and CFD

➨ᅇEFD/CFD⼥ྜ࣮࣡ࢡࢩࣙࢵࣉ

㛤ദ㊃ព᭩

ᚑ᮶ࠊᩘ್ὶయຊᏛ㸦Computational Fluid Dynamics, CFD㸧࡜ᐇ㦂ὶయຊᏛ㸦Experimental Fluid Dynamics, EFD 㸧࡜ࡣࠊ኱ᆺࡢ㢼Ὕ➼ࢆᣢࡘ◊✲ᶵᵓ࡛ࡣ࡝ࡕࡽ࠿࡜࠸࠼ࡤูಶࡢศ㔝

࡜ࡳ࡞ࡉࢀࠊࡑࢀࡒࢀேᮦࡶࣜࢯ࣮ࢫࡶ⊂❧࡟ࠊ⊂⮬ࡢ❧ሙ࡛⾜ࢃࢀ࡚ࡁࡲࡋࡓࠋࡋ࠿ࡋ࡞ࡀ

ࡽࠊ CFDࡣ≀⌮⌧㇟ࢆࣔࢹࣝ໬ࡋ࡚ᩘ್ⓗ࡟ゎࢆồࡵ࡚࠸ࡿ௨ୖࠊ⤖ᯝࡢጇᙜᛶࢆᐇ㦂ࢹ࣮ࢱ

ࢆ⏝࠸᳨࡚ドࡍࡿᚲせࡀ࠶ࡾࠊࡑࡢព࿡࡛CFDࡣEFD࡟୍᪉ⓗ࡟౫Ꮡࡋ࡚࠸ࡓ࡜ゝ࠼ࡲࡍࠋ EFDࡶࡇࢀࡲ࡛CFD࡟ᑐࡋ࡚ഐほ⪅ⓗ࡞❧ሙ࡟⤊ጞࡋ࡚ࡁࡓࡇ࡜ࡣྰࡵ࡞࠸୍᪉ࠊEFD࡟ࡣ EFDᅛ᭷ࡢ୙☜࠿ࡉࡀ࠶ࡾࠊࡲࡓᚓࡽࢀࡿ᝟ሗ࡟ࡶไ㝈ࡀ⏕ࡌࡲࡍࠋ☜ᐇ࡟ゝ࠼ࡿࡇ࡜ࡣࠊ EFD/CFD༢⊂࡛ᚓࡽࢀࡿࢹ࣮ࢱࡢ⢭ᗘࡸಙ㢗ᛶ࡟ࡣ⮬ࡎ࠿ࡽ㝈⏺ࡀ⏕ࡌࡿ࡜࠸࠺ࡇ࡜࡛ࡋࡻ

࠺ࠋ

୍᪉ࠊ኱Ꮫࡢ◊✲ᐊ➼࡟࠾࠸࡚ࡣࠊᐇ㦂࡜ィ⟬ࡢ୧㠃࠿ࡽࡢ࢔ࣉ࣮ࣟࢳࡣ᪥ᖖⓗ࡞ᡭẁ࡛࠶

ࡾࠊᐇ㦂࡜ィ⟬ࡢ༢⣧࡞ẚ㍑࠿ࡽ⪃ᐹࢆࡋ࡚⾜ࡃ࡜࠸࠺ព࿡࡛ࡣEFD࡜CFDࡣᖖ࡟ᐦ᥋࡞㛵ಀ

࡟࠶ࡾࡲࡍࠋ

ࡇࡢࡼ࠺࡞⌧≧࡟㚷ࡳࠊ◊✲ᶵᵓ࡟࠾࠸࡚ࡣࠊ஧ඖㄽⓗ࡞⪃࠼᪉ࢆᨵࡵ཮᪉ࡢಙ㢗ᛶࢆྥୖ

ࡉࡏ┿࡟ᐇ⏝࡟౪ࡍࡿࢶ࣮ࣝ࡜࡞ࡍࡓࡵ࡟ࠊࡲࡓࠊ኱Ꮫ➼࡟࠾࠸࡚ࡣࠊ༢⣧ẚ㍑ࢆ㉸࠼ࡓࡼࡾ

῝࠸Ὕᐹ࣭▱ぢࢆᚓࡽࢀࡿࡼ࠺࡟ࡍࡿࡓࡵࠊEFD/CFDࡢ஫࠸ࡢၥ㢟Ⅼࡢ⿵᏶ࡸ᪂ࡓ࡞ᯟ⤌ࡳ

ࡢᵓ⠏࡟ࡼࡗ࡚ᚓࡽࢀࡿࢩࢼࢪ࣮ຠᯝࢆぢ࠸ࡔࡍࡇ࡜ࡀ㔜せ࡛ࡣ࡞࠸࡛ࡋࡻ࠺࠿ࠋ

ᮏ࣮࣡ࢡࢩࣙࢵࣉࡣࡇࡢࡼ࠺࡞EFD࡜CFDࡢ⼥ྜࢆࢸ࣮࣐࡜ࡋࠊὶయຊᏛ࡟ᦠࢃࡿ◊✲⪅ࡸ

ᢏ⾡⪅ࡀㅮ₇ࡸࢹ࢕ࢫ࢝ࢵࢩࣙࣥࢆ㏻ࡋ࡚ࡑࡢᚲせᛶ࣭㔜せᛶ࡟ࡘ࠸࡚ㄆ㆑ࢆ῝ࡵࠊ࠿ࡘ▱ぢ

ࢆᗈࡆࡿࡇ࡜ࢆ┠ⓗ࡜ࡋ࡚࠾ࡾࡲࡍࠋ

ࡇࡢ࣮࣡ࢡࢩࣙࢵࣉࡀࠊEFD/CFD⼥ྜ࡜࠸࠺ྂࡃ࡚᪂ࡋ࠸ࢸ࣮࣐࡟㛵ࡋ࡚᝟ሗ஺᥮ࢆࡍࡿ

ࡼ࠸ᶵ఍࡜࡞ࡾࠊ᪂ࡓ࡞Ⓨ᝿࡟ࡼࡿ◊✲㛤Ⓨάືࡀᅜෆእ࡛ࡼࡾ୍ᒙᒎ㛤ࡉࢀࡿࡼ࠺࡟࡞ࢀࡤࠊ

୺ദ⪅࡜ࡋ࡚ఱࡼࡾࡢ႐ࡧ࡛ࡍࠋࡲࡓࠊᮏ࣮࣡ࢡࢩࣙࢵࣉࡣ௒ᚋࡶ⥅⥆ࡉࡏ࡚࠸ࡃணᐃ࡛ࡍࡢ

࡛ࠊෆᐜ࡟ࡘ࠸࡚ࡈពぢࡸࡈᥦ᱌➼ࡈࡊ࠸ࡲࡋࡓࡽࡐࡦ࡜ࡶ࠾▱ࡽࡏ࠸ࡓࡔࡁࡓࡃࠊᐅࡋࡃ࠾

㢪࠸⏦ࡋୖࡆࡲࡍࠋ

ᖹᡂ 23 ᖺ 1 ᭶ 25 ᪥

➨ 4 ᅇ EFD/CFD ⼥ྜ࣮࣡ࢡࢩࣙࢵࣉᐇ⾜ጤဨ఍ ጤဨ㛗 Ᏹᐂ⯟✵◊✲㛤Ⓨᶵᵓ ◊✲㛤Ⓨᮏ㒊 ᯇᑿ ⿱୍

ᮾ໭኱Ꮫὶయ⛉Ꮫ◊✲ᡤ ኱ᯘⱱ

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➨ 4 ᅇ EFD/CFD ⼥ྜ࣮࣡ࢡࢩࣙࢵࣉ ᐇ⾜ጤဨ఍ ጤဨྡ⡙

ጤဨ㛗 ᯇᑿ ⿱୍ JAXA ◊✲㛤Ⓨᮏ㒊 ᩘ್ゎᯒࢢ࣮ࣝࣉ

኱ᯘ ⱱ ᮾ໭኱Ꮫ ὶయ⛉Ꮫ◊✲ᡤ 㝃ᒓὶయ⼥ྜ◊✲ࢭࣥࢱ࣮

ጤဨ ὸ஭ ᆂ௓ ᮾ໭኱Ꮫ኱Ꮫ㝔 ᕤᏛ◊✲⛉ ⯟✵ᏱᐂᕤᏛᑓᨷ ఀ⸨ ㈗அ ࠾ⲔࡢỈዪᏊ኱Ꮫ኱Ꮫ㝔 ⌮Ꮫ㒊᝟ሗ⛉Ꮫ⛉

ఀ⸨ ೺ JAXA ◊✲㛤Ⓨᮏ㒊㢼Ὕᢏ⾡㛤Ⓨࢭࣥࢱ࣮

㔠ᓮ 㞞༤ 㤳㒔኱Ꮫᮾி ࢩࢫࢸ࣒ࢹࢨ࢖ࣥᏛ㒊 ⯟✵Ᏹᐂࢩࢫࢸ࣒ᕤᏛࢥ࣮ࢫ ᕝῧ ༤ග 㫽ྲྀ኱Ꮫ ኱Ꮫ㝔ᕤᏛ◊✲⛉ ᶵᲔᏱᐂᕤᏛᑓᨷ

బ᐀ ❶ᘯ ྡྂᒇ኱Ꮫ኱Ꮫ㝔 ᕤᏛ◊✲⛉ ⯟✵ᏱᐂᕤᏛᑓᨷ ⃝⏣ ᜨ௓ ᮾ໭኱Ꮫ኱Ꮫ㝔 ᕤᏛ◊✲⛉ ⯟✵ᏱᐂᕤᏛᑓᨷ

㕥ᮌ ᏹ஧㑻 ᮾி኱Ꮫ኱Ꮫ㝔 ᪂㡿ᇦ๰ᡂ⛉Ꮫ◊✲⛉

㕥ᮌ ಇஅ JAXA ◊✲㛤Ⓨᮏ㒊 ᮍ㋃ᢏ⾡◊✲ࢭࣥࢱ࣮

ᆤ಴ ㄔ ໭ᾏ㐨኱ᏛᕤᏛ㒊 ᶵᲔ▱⬟ᕤᏛ⛉

ᮧୖ ᱇୍ JAXA ◊✲㛤Ⓨᮏ㒊 ᩘ್ゎᯒࢢ࣮ࣝࣉ

ᒣᮏ ୍⮧ JAXA ⯟✵ࣉࣟࢢ࣒ࣛࢢ࣮ࣝࣉ ᅜ⏘᪑ᐈᶵࢳ࣮࣒

ྜྷ⏣ ᠇ྖ JAXA ⯟✵ࣉࣟࢢ࣒ࣛࢢ࣮ࣝࣉ ㉸㡢㏿ᶵࢳ࣮࣒

Ώ㎶㔜ဢ JAXA ◊✲㛤Ⓨᮏ㒊 ὶయࢢ࣮ࣝࣉ

஦ົᒁ ┦᭮ ⚽᫛ JAXA ◊✲㛤Ⓨᮏ㒊 ᩘ್ゎᯒࢢ࣮ࣝࣉ

ཱྀ▼ ⱱ JAXA ◊✲㛤Ⓨᮏ㒊 ὶయࢢ࣮ࣝࣉ

ಖỤ ࠿࡞Ꮚ JAXA ◊✲㛤Ⓨᮏ㒊 ὶయࢢ࣮ࣝࣉ

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➨㻠ᅇ㻱㻲㻰㻛㻯㻲㻰⼥ྜ䝽䞊䜽䝅䝵䝑䝥㻌㼀㼔㼑㻌㻠㼠㼔㻌㼃㼛㼞㼗㼟㼔㼛㼜㻌㼛㼚㻌㻵㼚㼠㼑㼓㼞㼍㼠㼕㼛㼚㻌㼛㼒㻌㻱㻲㻰㻌㼍㼚㼐㻌㻯㻲㻰㻌㻌

⛅ⴥཎ䝁䞁䝧䞁䝅䝵䞁䝩䞊䝹㻌㻡㻮 ఍㆟ᐊ㻌㻭㻷㻵㻴㻭㻮㻭㻾㻭㻌㻯㼛㼚㼢㼑㼚㼠㼕㼛㼚㻌㻴㼍㼘㼘㻦㻌㻾㼛㼛㼙㻌㻡㻮㻌

㻌

㻼㼞㼛㼓㼞㼍㼙㻌

㻶㼍㼚㻚㻌㻞㻡㻌㻔㼀㼡㼑㻚㻕㻘㻌㻞㻜㻝㻝㻌

㻝㻜㻦㻜㻜㻙㻝㻜㻦㻝㻜㻌 ኱ᯘ㻌 ⱱ㻌㻔ᮾ໭኱ὶయ◊㻕㻌

㻿㼔㼕㼓㼑㼞㼡㻌㻻㼎㼍㼥㼍㼟㼔㼕㻌㻔㼀㼛㼔㼛㼗㼡㻌㼁㼚㼕㼢㻚㻕㻌㻻㼜㼑㼚㼕㼚㼓㻌㻭㼐㼐㼞㼑㼟㼟㻌

㻿㼑㼟㼟㼕㼛㼚㻌㻝㻌㻨㻵㼚㼢㼕㼠㼑㼐㻌㻸㼑㼏㼠㼡㼞㼑㻏㻝㻪㻌 ྖ఍㻦㻌 ᕝῧ㻌 ༤ග㻌㻔㫽ྲྀ኱㻕

㻯㼔㼍㼕㼞㼜㼑㼞㼟㼛㼚㻦㻌㻴㼕㼞㼛㼙㼕㼠㼟㼡㻌㻷㼍㼣㼍㼦㼛㼑㻌㻔㼀㼛㼠㼠㼛㼞㼕㻌㼁㼚㼕㼢㻚㻕

㻝㻜㻦㻝㻜㻙㻝㻜㻦㻡㻡㻌

ᮧ஭♸୍໭኱

㼅㼡㼕㼏㼔㼕㻌㻹㼡㼞㼍㼕㻌㻔㻴㼛㼗㼗㼍㼕㼐㼛㻌㼁㼚㼕㼢㻚㻕㻌

㻼㼍㼞㼠㼕㼏㼘㼑㻌㼀㼞㼍㼏㼗㼕㼚㼓㻌㻭㼏㼏㼑㼘㼑㼞㼛㼙㼑㼠㼞㼥䛻䜘䜛㻼㻵㼂䛾⢏Ꮚ㏣ᚑᛶၥ㢟䛛䜙䛾ゎᨺ㻌㻾㼑㼘㼑㼍㼟㼑㻌㼒㼞㼛㼙㻌㼠㼞㼍㼏㼑㼞㻌㼜㼍㼞㼠㼕㼏㼘㼑㻌㼏㼛㼚㼐㼕㼠㼕㼛㼚㼟㻌㼡㼟㼕㼚㼓㻌㻼㼍㼞㼠㼕㼏㼘㼑㻌㼀㼞㼍㼏㼗㼕㼚㼓㻌㻭㼏㼏㼑㼘㼑㼞㼛㼙㼑㼠㼞㼥㻌

㻝㻜㻦㻡㻡㻙㻝㻝㻦㻠㻜㻌

ྜྷ⃝ᚩᮾ኱ྡ㄃ᩍᤵ

㻭㼗㼕㼞㼍㻌㼅㼛㼟㼔㼕㼦㼍㼣㼍㻌㻔㻱㼙㼑㼞㼕㼠㼡㼟㻘㻌㼁㼚㼕㼢㻚㻌㼀㼛㼗㼥㼛㻕㻌

ὶయ⛉Ꮫ䛸㻱㻲㻰㻛㻯㻲㻰⼥ྜ䠖஘ὶ◊✲䛛䜙ぢ䜛ᖹᆒሙ䝎䜲䝘䝰㻌

㻲㼘㼡㼕㼐㻌㻿㼏㼕㼑㼚㼏㼑㻌㼍㼚㼐㻌㻱㻲㻰㻛㻯㻲㻰㻌㻵㼚㼠㼑㼓㼞㼍㼠㼕㼛㼚㻦㻌㻹㼑㼍㼚㻙㻲㼕㼑㼘㼐㻌㻰㼥㼚㼍㼙㼛㻌㼕㼚㻌㻸㼕㼓㼔㼠㻌㼛㼒㻌㼀㼡㼞㼎㼡㼘㼑㼚㼏㼑㻌㻾㼑㼟㼑㼍㼞㼏㼔㻌

㻸㼡㼚㼏㼔㻌

㻿㼑㼟㼟㼕㼛㼚㻌㻞㻌㻨㻵㼚㼢㼕㼠㼑㼐㻌㻸㼑㼏㼠㼡㼞㼑㻏㻞㻪㻌 ྖ఍㻦㻌 బ᐀㻌 ❶ᘯ㻌㻔ྡ኱㻕

㻯㼔㼍㼕㼞㼜㼑㼞㼟㼛㼚㻦㻌㻭㼗㼕㼔㼕㼞㼛㻌㻿㼍㼟㼛㼔㻌㻔㻺㼍㼓㼛㼥㼍㻌㼁㼚㼕㼢㻚㻕

㻝㻟㻦㻜㻜㻙㻝㻟㻦㻠㻡㻌

㟢ᮌ⩏Ẽ㇟◊✲ᡤ

㼀㼍㼐㼍㼟㼔㼕㻌㼀㼟㼡㼥㼡㼗㼕㻌㻔㻹㼑㼠㼑㼛㼞㼛㼘㼛㼓㼕㼏㼍㼘㻌㻾㼑㼟㼑㼍㼞㼏㼔㻌㻵㼚㼟㼠㼕㼠㼡㼠㼑㻕㻌

Ẽ㇟Ꮫ䛻䛚䛡䜛㻠 ḟඖኚศἲ䝕䞊䝍ྠ໬㻌

㻠㻙㻰㼕㼙㼑㼚㼟㼕㼛㼚㼍㼘㻌㼂㼍㼞㼕㼍㼠㼕㼛㼚㼍㼘㻌㻰㼍㼠㼍㻌㻭㼟㼟㼕㼙㼕㼘㼍㼠㼕㼛㼚㻌㼕㼚㻌㻹㼑㼠㼑㼛㼞㼛㼘㼛㼓㼥㻌

㻝㻟㻦㻠㻡㻙㻝㻠㻦㻟㻜㻌 ྜྷ⏣㻌 ᠇ྖ㻌㻔㻶㻭㼄㻭㻕㻌㻷㼑㼚㼖㼕㻌㼅㼛㼟㼔㼕㼐㼍㻌㻔㻶㻭㼄㻭㻕㻌

㻶㻭㼄㻭䛂ḟୡ௦㉸㡢㏿ᶵᢏ⾡䛾◊✲㛤Ⓨ䛃ィ⏬䛻䛚䛡䜛㻱㻲㻰㻛㻯㻲㻰㐃ᦠ䛸㻌 ᑗ᮶䛾ㄢ㢟㻌

㻯㼛㼙㼜㼘㼑㼙㼑㼚㼠㼍㼞㼥㻌㼞㼛㼘㼑㻌㼍㼚㼐㻌㼏㼔㼍㼘㼘㼑㼚㼓㼑㻌㼛㼒㻌㻱㻲㻰㻌㼍㼚㼐㻌㻯㻲㻰㻌㼛㼚㻌㼠㼔㼑㻌㻺㼍㼠㼕㼛㼚㼍㼘㻌㻱㼤㼜㼑㼞㼕㼙㼑㼚㼠㼍㼘㻌㻿㼡㼜㼑㼞㼟㼛㼚㼕㼏㻌㼀㼞㼍㼚㼟㼜㼛㼞㼠㻌㻼㼞㼛㼓㼞㼍㼙㻌㼎㼥㻌㻶㻭㼄㻭㻌

㻿㼑㼟㼟㼕㼛㼚㻌㻟㻌㻨㻶㻭㼄㻭㻌㻷㼑㼥㼚㼛㼠㼑㻌㻿㼜㼑㼑㼏㼔㻪㻌 ྖ఍㻦㻌 ὸ஭㻌 ᆂ௓㻌㻔ᮾ໭኱㻕

㻯㼔㼍㼕㼞㼜㼑㼞㼟㼛㼚㻦㻌㻷㼑㼕㼟㼡㼗㼑㻌㻭㼟㼍㼕㻌㻔㼀㼛㼔㼛㼗㼡㻌㼁㼚㼕㼢㻚㻕

㻝㻠㻦㻠㻜㻙㻝㻡㻦㻞㻜㻌 ཱྀ▼㻌 ⱱ㻌㻔㻶㻭㼄㻭㻕㻌㻿㼔㼕㼓㼑㼞㼡㻌㻷㼡㼏㼔㼕㻙㻵㼟㼔㼕㻌㻔㻶㻭㼄㻭㻕㻌

᪥ᮏ䛻䛚䛡䜛㻱㻲㻰㻛㻯㻲㻰⼥ྜ㻌㻙㻶㻭㼄㻭䛛䜙䛾ᥦゝ㻙㻌

㻵㼚㼠㼑㼓㼞㼍㼠㼕㼛㼚㻌㼛㼒㻌㻱㻲㻰㻌㼍㼚㼐㻌㻯㻲㻰㻌㼕㼚㻌㻶㼍㼜㼍㼚㻌䇵㻌㻭㻌㻼㼞㼛㼜㼛㼟㼍㼘㻌㼒㼞㼛㼙㻌㻶㻭㼄㻭㻌㻙㻌

㻿㼑㼟㼟㼕㼛㼚㻌㻡㻌㻨㻼㼍㼚㼑㼘㻌㻰㼕㼟㼏㼡㼟㼟㼕㼛㼚㼟㻪㻌䝁䞊䝕䜱䝛䞊䝍㻦㻌 Ώ㎶㻌㔜ဢ㻌㻔㻶㻭㼄㻭㻕

㻯㼛㼛㼞㼐㼕㼚㼍㼠㼛㼞㻦㻌㻿㼔㼕㼓㼑㼥㼍㻌㼃㼍㼠㼍㼚㼍㼎㼑㻌㻔㻶㻭㼄㻭㻕

㻝㻡㻦㻟㻜㻙㻝㻣㻦㻟㻜㻌

᪥ᮏ䛻䛚䛡䜛㻱㻲㻰㻛㻯㻲㻰⼥ྜ䛾᪉ྥᛶ㻌

㻰㼕㼞㼑㼏㼠㼕㼛㼚㻌㼠㼛㼣㼍㼞㼐㻌㻵㼚㼠㼑㼓㼞㼍㼠㼕㼛㼚㻌㼛㼒㻌㻱㻲㻰㻌㼍㼚㼐㻌㻯㻲㻰㻌㼕㼚㻌㻶㼍㼜㼍㼚㻌䝟䝛䝸䝇䝖㻦㻌

኱ᯘ㻌 ⱱ㻌㻔ᮾ໭኱ὶయ◊㻕㻌

⃝⏣㻌 ᜨ௓㻌㻔ᮾ໭኱㻕㻌

୰ᮧ㻌 ࿴ᖾ㻌䠄᫂἞኱䠅㻌 Ჴᶫ㻌 ⨾἞㻌㻔㻹㻴㻵㻕㻌 ᯇᑿ㻌 ⿱୍㻌㻔㻶㻭㼄㻭㻕㻌

ఀ⸨㻌 ೺㻌䠄㻶㻭㼄㻭䠅㻌

㻼㼍㼚㼑㼘㼕㼟㼠㼟㻦㻌

㻿㼔㼕㼓㼑㼞㼡㻌㻻㼎㼍㼥㼍㼟㼔㼕㻌㻔㼀㼛㼔㼛㼗㼡㻌㼁㼚㼕㼢㻚㻕㻌㻷㼑㼕㼟㼡㼗㼑㻌㻿㼍㼣㼍㼐㼍㻌㻔㼀㼛㼔㼛㼗㼡㻌㼁㼚㼕㼢㻚㻕㻌㻷㼍㼦㼡㼥㼡㼗㼕㻌㻺㼍㼗㼍㼙㼡㼞㼍㻌㻔㻹㼑㼕㼖㼕㻌㼁㼚㼕㼢㻚㻕㻌㼅㼛㼟㼔㼕㼔㼍㼞㼡㻌㼀㼍㼚㼍㼔㼍㼟㼔㼕㻌㻔㻹㻴㻵㻕㻌㼅㼡㼕㼏㼔㼕㻌㻹㼍㼠㼟㼡㼛㻌㻔㻶㻭㼄㻭㻕㻌㼀㼍㼗㼑㼟㼔㼕㻌㻵㼠㼛㼔㻌㻔㻶㻭㼄㻭㻕㻌㻝㻣㻦㻟㻜㻙㻝㻣㻦㻠㻜㻌 ᯇᑿ㻌 ⿱୍㻌㻔㻶㻭㼄㻭㻕㻌

㼅㼡㼕㼏㼔㼕㻌㻹㼍㼠㼟㼡㼛㻌㻔㻶㻭㼄㻭㻕㻌㻯㼘㼛㼟㼕㼚㼓㻌㻭㼐㼐㼞㼑㼟㼟㻌

㻝㻤㻦㻜㻜㻙㻞㻜㻦㻜㻜㻌 ᠓ぶ఍㻌

㻮㼍㼚㼝㼡㼑㼠㻌

㻌

(6)

JAXA Workshop on EFD/CFD-Fusion 1/25 2011 @ Tokyo

Particle Tracking Accelerometry 䛻䜘䜛 PIV 䛾⢏Ꮚ㏣ᚑᛶၥ㢟䛛䜙䛾ゎᨺ

Release from tracer particle conditions using Particle Tracking Accelerometry

ᮧ஭♸୍ 䠄໭ᾏ㐨኱Ꮫ䠅

us g a t cle ac g ccele o et y

ᮧ஭♸ 䠄໭ᾏ㐨኱Ꮫ䠅

Laboratory for Flow Control Search:

Div. of Energy & Environment School of Engineering Hokkaido University

2

Commercialization

䛂 PIV 䛺䜙ᕷ㈍䝅䝇䝔䝮䜢㈙䛘䜀῭䜐䛃

GUI 䛾඘ᐇ໬

PP ฟຊ䛾ᙉ໬

ᕷ㈍

኱Ꮫ◊✲ᐊ

ᕷ㈍ ᕷ㈍

1980 䡚 2000 ᕷ㈍

䖃సᴗ⬟⋡䛾኱ᖜྥୖ

K ♫ D ♫

䖃᫬✵㛫ゎീᗘ䛾ྥୖ

䖃సᴗ⬟⋡䛾኱ᖜྥୖ

䖃 ḟ ィ ᒎ㛤 2000 ௨㝆

኱Ꮫ◊✲ᐊ S ♫

䖃୕ḟඖィ䜈䛾ᒎ㛤 2000 ௨㝆

(7)

3

Planar to Volumetric PIV

᏶඲ 3 ḟඖィ (3D-3C)

2 ḟඖィ (2D-2C) ᏶඲ ḟඖィ ( )

3-D PTV Planer PIV

( )

MTV

Color 3-D PTV

‽ 3 ḟඖィ

Stereo PIV (2D-3C) Scanning-Stereo PIV Holographic PIV Color PIV (3D 2C)

Scanning PIV (3D-2C)

Color PIV (3D-2C) Tomographic PIV

-PIV (DoF) (3D-2C)) C l T g hi PIV

PIV (DoF) (3D 2C)) Color Tomographic PIV

4

Color Tomographic PIV g p

IWPT఍㆟2009䛷Ⓨ⾲

Based on Computer Tomography

ቨ㠃⾪✺ ㍯㠃⾪✺ ㍯ ᾋຊᄇὶ ᾋຊᄇὶ ᖹᯈ⾪✺䝆䜵䝑䝖 ᯈ⾪✺ 䝑

≺䛔䠙 Ⰽ᝟ሗ䜢 PIV 䛻᭱኱㝈䛻᭷ຠά⏝䛩䜛ᢏ⾡䛾᥈✲

䜹䝯䝷䠍䛴䛰䛡䛷୕ḟඖ୕ᡂศ䛾䠄Ẽὶ䛾䠅㏿ᗘ䝧䜽䝖䝹ሙ䜢ィ

(8)

5

CFD Processes in PIV

Seeding ὶ䜜ሙ䛻䝖䝺䞊䝃⢏Ꮚ䜢ධ䜜䜛

Seeding ὶ䜜ሙ䛻䝖䝺䝃⢏Ꮚ䜢ධ䜜䜛

Illumination ↷᫂䛻䜘䜚⢏Ꮚᩓ஘ග䜢ᚓ䜛

Photographing 䜹䝯䝷䛻⏬ീ䜢グ㘓䛩䜛

Pre-processing ⫼ᬒ㝖ཤ䠈䝜䜲䝈㝖ཤ䠈ᗄఱᰯṇ Particle Detection ⢏Ꮚᗙᶆゎᯒ䠄䠬䠰䠲䛾䜏䠅

Velocity Calculation ὶ㏿ィ⟬ ( ㏣㊧ , ⛣ὶ ,N-S ண 䠅 Post-processing ⿵㛫䠈ᚤ✚ศ㔞ゎᯒ䠈⤫ィ䠈⾲♧

6

Vector Interpolation

Taylor-Green Vortex 䛾 ᗘศᕸィ䝅䝭䝳䝺䞊䝅䝵䞁

p

Taylor Green Vortex 䛾 ᗘศᕸィ䝅䝭䝺䝅䝵䞁

┿್䠄ṇゎ䠅䝻䞊䜹䝹⿵㛫䜾䝻䞊䝞䝹⿵㛫

㊥㞳䛾㏫ᩘ⿵㛫䝷䝥䝷䝇᪉⛬ᘧ

䜾䝻䞊䝞䝹⿵㛫䠙 PTV ᝟ሗ䜢᭱኱㝈䛻ά䛛䛩

ᴃ෇ᆺᚤศ᪉⛬ᘧ 㧗ḟ᣺ືゎ䜢ᢚไ䛩䜛

ᴃ෇ᆺᚤศ᪉⛬ᘧ 䠙㧗ḟ᣺ືゎ䜢ᢚไ䛩䜛

(9)

7

Recursive Interpolation

C=0 85 C=0 91 C=0 92 C=0 79

p

పḟ䛛䜙㧗ḟ䜈㝵ᒙⓗ䛻⿵㛫䛩䜛䛸᭱䜒᚟ඖ⢭ᗘ䛜㧗䛟䛺䜛

C=0.85 C=0.91 C=0.92 C=0.79

m F. Strea m city Vo rt ic

C=0.67 C=0.78 C=0.79 C=0.36

2 U 0

∇ = U 0 ∇ = ⁴ U 0 ∇ = ⁶ U 0 ∇ = ⁶ U 0

∇ ∇ U 0 ∇ ∇ U 0

Ido & Murai (2005) Flow Meas. Instr.

8

Number of Required Vectors

Vorticity Distribution

ᗘ䜢 ୖ ┦㛵

q

ᗘ䜢 0.9 ௨ୖ䛾┦㛵 ಀᩘ䛷⿵㛫䠄᚟ඖ䠅䛩䜛䛯䜑䛾䠍䛴䛒䛯䜚䜛䛯䜑䛾䠍䛴䛒䛯䜚䛾㏿ᗘ䝧䜽䝖䝹ᩘ

2 U 0

∇

㊥㞳㏫ᩘ 65 17

2 U 0

∇ =

4 U 0

∇ =

17 0 8

∇ = U

6 U 0

∇ =

8 7

1䛴䛒䛯䜚PTV䝕䞊䝍

(10)

9

Karman Vortex Reconstruction

Re=500䛷䛾ゅᰕᚋὶ䜹䝹䝬䞁 ิ

N-Sᩘ್ゎ ᩘ್ゎ ᢳฟ PTV䝕䞊䝍

㏿ᗘ䝧䜽䝖䝹䝕䝍ᩘ=10

㏿ᗘ䝧䜽䝖䝹䝕䞊䝍ᩘ=10 ⿵㛫

⿵㛫⤖ᯝ

Murai et al(2002) JSME Int. J. Ser. B, Ido & Murai (2003) Exp Fluids

10

4-D Recursive Interpolation

䝷䝥䝷䝇᪉⛬ᘧ

p

䝷䝥䝷䝇᪉⛬ᘧ

2 U 0

∇ = ^{∇ =} ^§ ^¨ _© ^¨ _© _{∂ ∂ ∂} _{∂ ∂ ∂} ^{∂ ∂ ∂} _x ^, _y ^, _z ^, ^σ _∂ _∂ ^∂ _t _t ^· ^¸ _¹ ^¸ _¹

4 U 0

∇ 4 ෌ᖐᆺ䠖పḟ䛛䜙㧗ḟ䜈䛾㝵ᒙฎ⌮

0 ∇ = U ෌ᖐᆺ䠖పḟ䛛䜙㧗ḟ䜈䛾㝵ᒙฎ⌮

䐟㧗䛔✵㛫ศゎ⬟

6 U 0

∇ = ^{䐠཰᮰ゎ䛿၏୍} _{䐡ᐇ㦂䝕䞊䝍ಖㆤ}

2 ⁿ U 0

∇ =

䐡ᐇ㦂䝕䝍ಖㆤ 䐢᣺ືゎ䛺䛧

0 ∇ U = Ido & Murai (2005) Flow Meas. Instr.

(11)

12

History of Precision y

▐᫬ᒁᡤ㏿ᗘ䝧䜽䝖䝹⢭ᗘ

5 pixel/frame 䠄 3bit ) 90 ᖺ௦䜎䛷䛾 PIV

5.8 pixel/frame (6bit) Sub-pixel ฎ⌮䜔 PTV

Pixel Space 40.5 pixel/frame (7bit)

෌ᖐᆺ䜔 PTV 䝝䜲䝤䝸䝑䝗 Pixel Space

LDV 䡚 3 ᱆ (8bit) 䠈 HW 䡚 4 ᱆ (14bit) 䠈 UVP 䡚 3 ᱆ (8bit 䠅 PIV 䛜௒ᚋ 8 䝡䝑䝖௨ୖ䛾 ᐃ⢭ᗘ䛻ྥ䛛䛖䛾䛛䠛

11

Accuracy of PIV y

PIV 䞉 PTV 䛾⢭ᗘ䛾ྥୖ

⢏Ꮚ㏣ᚑᛶ ᗄఱගᏛ⢭ᗘ ⏬ീฎ⌮⢭ᗘ

Traceability Optics Algorithm

䠄ᚋฎ⌮䜢ྵ䜐䠅䝝䞊䝗䜴䜶䜰䞉䝋䝣䝖䜴䜶䜰䛾㛤Ⓨᑐ㇟

ཎጞⓗၥ㢟䛸

䛧䛶୙ኚ䞉ṧ␃

(12)

13

Invariable Traceabilityy

⯪⯧䛾᢬ᢠపῶ PIV 䛾ㄗᕪపῶ ㄗ పῶ

PIV୸

Drag Reduction Error Reduction

PIV୸

䐟䐠䐡䐡㐀Ἴ᢬ᢠ

䐠

䐡ᗄఱගᏛㄗᕪ 䐠 ീ

䐟䐠䐟䐠ᙧ≧᢬ᢠ

䐟ᦶ᧿᢬ᢠ

䐠⏬ീฎ⌮ㄗᕪ 䐟㏣ᚑᛶ䛾ㄗᕪ 䐟

Traceability

୺せ◊✲ Nishio et al(2004)

୺せ◊✲ ௒ᚋ䛾ᚊ㏿せᅉ

14

Inevitable Slip Motion p

ẼἻ䝖䝺䞊䝃 ᾮ⁲䞉䝅䝱䝪䞁⋢

ᐦᗘ䞉 ᗘ䜖䜙䛞 Mist & Soap Bubbles Bubble Tracer

ᐦᗘ ᗘ䜖䜙䛞

Carrier Property

Bubble Tracer Mist & Soap Bubbles

䝬䜲䜽䝻䝞䝤䝹

⾪ᧁἼ

Shock Waves Micro-nano Bubbles

䝤䝷䜴䞁㐠ື ⾑⌫䞉ᚤ⏕≀

㟁☢ሙὋື 䝤䝷䜴䞁㐠ື ⾑⌫ ᚤ⏕≀

Electromagnetic

Brownian Motion Blood & Microbes

䝧䜽䝖䝹䝕䞊䝍䛜኱㔞䛻ྲྀᚓ䛥䜜䛶ಙ䛨䛶䛧䜎䛳䛶䛿㥏┠䟿

(13)

15

Environmental Restriction

䝷䝪௨እ䛾ᐇ㦂⎔ቃ䠄ᶵᲔ䠈ᒇእ䠅䛾Ṥ䛹䛷䛿㏣ᚑᛶ䜢Ḟ䛟䛂௬䛻䛣䜜䜢౑䛳䛶䛚䛣䛖䛃䛸ゝ䛔䛺䛜䜙ᚋ䛷䜅䜚㏉䜙䛺䛔

⛉◊ᇶ┙䠞 (2007-2009)

␗≀ΰධ䛻ไ⣙䛾䛒䜛⣔

䛷䛿ṇ☜䛥䛻Ḟ䛡䜛䝖䝺䞊

⛉◊ᇶ┙䠞 (2007-2009) ᒇእẼὶィ䛾䝖䝺䞊䝃䛷䛿ṇ☜䛥䛻Ḟ䛡䜛䝖䝺

䝃䜢౑䜟䛦䜛䜢ᚓ䛺䛔䠊 PIV 䛾ᵝ䚻䛺ᛂ⏝ሙ㠃䛷

⛉◊ᇶ┙䠞 (2009-2012) 䝬䜲䜽䝻䝞䝤䝹㐠ື≉ᛶ ฟ䛟䜟䛩ඹ㏻䛾ၥ㢟䠊䝬䜲䜽䝻䝞䝤䝹㐠ື≉ᛶ

NEDO(2005-2009) ( )

㉸㡢Ἴὶ㔞ィ䛾䝖䝺䞊䝃䛂䝖䝺䞊䝃䛷䛿䛺䛟䝉䞁䝃䞊䛃

୺┠ⓗ䠖 Slip 䛾㐠ື᪉⛬ᘧ䜢❧䛶䜛 Ѝ ㏫ゎᯒ䛷ゎ䛟

16

Particle as Sensor

( )

T T ⁻ ¹ ( )

ὶ䜜䛜⢏Ꮚ㐠ື䜢Ỵ䜑䜛 ⢏Ꮚ㐠ື䛛䜙ὶືሙ䜢ồ䜑䜛 p = T ( )

u u u = T ¹ ( u _p )

Microbubble Large

bubble bubble

Jet Flow

Light particle Heavy

particle

p

(14)

17

Equation of Motion

( )

1 2

d p

V C R V V p

ρ u = − ρπ − − − ρ − ∇

u u u u g

q

( )

p V p C D 2 R p p p p V p V p p

ρ dt = ρπ u u u u ρ g ∇

䐟 _Inertia 䐠 _Drag 䐡 _Grav 䐢 _P.G.

§ d ·

( ) ⁽ ⁾ ^{( , )}

^p

L p p p

d D

C V K t d V

dt Dt

ρ τ τ βρ ^§ ^·

− − × ∇× + − ¨ − ¸

© ¹

³ ^u ^u

u u u

䐣 _if 䐤 _i 䐥 _{Add d} _i

䝖䝺䞊䐟䐠䐡䐢䐣䐤䐥

䐣 _Lift 䐤 _History 䐥 Added Inertia

䝃⢏Ꮚ 䐟䐠䐡䐢䐣䐤䐥

⢏Ꮚ 䖩䖩䖩䖩䖩

ẼἻ 䖩䖩䖩䖩

ᾮ⁲ 䖩䖩䖩䖩

18

Seven Force Elements

䐟 ័ᛶຊ

䐠䐥

ᢠຊ

௜ຍ័ᛶຊ

௜ຍ័ᛶຊ 䝖䝺䞊䝃⢏

Ꮚ䛾㐠ື

䐡䐤

㔜ຊ ᒚṔຊ

Ꮚ䛾㐠ື

㔜ຊ

䐢䐣

ṇ୐ゅᙧ ➼ᖜ᭤⥺

ᅽຊ

ᥭຊ

ṇ୐ゅᙧ 䝹䞊䝻䞊䛾➼ᖜ᭤⥺

(15)

19

Combination in Seven

䐟 Force Balances 䐟

䐠䐥䐠䐥

䐡䐤䐤

䐡䐤䐡䐤

䐢䐣䐢䐣

ẼἻ ᚤ⢏Ꮚ ẼἻ

ᵓᡂせ⣲䛜ከ䛔䜋䛹㏫ゎᯒ䛾☜ᗘ䛿㧗䛟䛺䜛 ᝟ሗ㔞䛜ከ䛟 ᵓᡂせ⣲䛜ከ䛔䜋䛹㏫ゎᯒ䛾☜ᗘ䛿㧗䛟䛺䜛䠊᝟ሗ㔞䛜ከ䛟䛺䜚ண᝿⠊ᅖ䜢⤠䜚㎸䜐ຠᯝ䜢䜒䛴䛯䜑䠊

20

Undesired Conditions

䐟 Force Balances 䐟

䐠䐥䐠䐥

䐡䐤䐤

䐡䐤䐡䐤

䐢䐣䐢䐣

䜲䜽䝞䝤䝬䜲䜽䝻䝞䝤䝹

኱䛝䛺⢏Ꮚ

ᵓᡂせ⣲䛜ᑡ䛺䛟䛺䜛䛸ゎ䜢ᣊ᮰䛩䜛䛣䛸䛜䛷䛝䛺䛟䛺䜛䝬

ᵓᡂせ⣲䛜ᑡ䛺䛟䛺䜛䛸䠈ゎ䜢ᣊ᮰䛩䜛䛣䛸䛜䛷䛝䛺䛟䛺䜛䠊䝬

䜲䜽䝻䝞䝤䝹䛾ሙྜ䛷䛿ὶ䜜䛻⤌⧊ⓗ䛺ᖸ΅䜢୚䛘䛶䛧䜎䛖䠊

(16)

21

Organized Interaction g

a p ∇

u

^p

^{= − ∇} u ^{a p} V ^d ^u

^p

¦ ^F ^V ^d ^u

^p

^T ^{( )}

u u

_p

V

_p ^p _k

ρ dt = ¦ ^F ^ρ

^p

^V

^p

_dt

^p

^≠ ^T ^{( )} ^u

Intrinsic Complex

Simple

Network Rich info Independence Reynolds Number

0.1 1 10 100 1,000 10,000 100,000

p

Ḣᕞ䛾䝃䝑䜹䞊䠄⤌⧊ຊ䠅 ༡⡿䛾䝃䝑䜹䞊䠄ಶேᢏ䠅

౑䛘䜛䛾䛿䛣䛾⠊ᅖ

22

Added Functions

Gravity Sensor V p

− ∇

p

V

p

ρ

− g

Heavy Particle

Gravity Sensor Vorticity Sensor Pressure

Sensor V p ∇ p

( ) ⁽ ⁾

Sensor Acceleration

S Viscosity

( ) ⁽ ⁾

L p p

C ρ V

− u − × ∇× u u

Sensor y

Sensor Perfect

Tracer

p p

d D

V dt Dt

βρ ^§ ^·

− ¨ − ¸

© ¹

u u

( )

1 2

D2 p p p

C

ρπ

R

− u −u u −u

Gas Drop

Tracer

© ¹

₂

Bubble p

(mist)

㏫㌿䛾Ⓨ᝿䠖 ᏶඲䛺䝖䝺䞊䝃䛷䛿䛭䛾Ⅼ䛾㏿ᗘ䛾䜏

(17)

23

Bubble Slip Excitation p

1 ḟඖ᣺ືၥ㢟

ᩘ Hz 䛷ບ㉳

䖩஘䜜䜢 3 ಸ䛻ᣑ኱䛧䛶ほ䛩䜛䛣䛸䛜ฟ᮶䜛

24

Bubble Rapid Response p p

Cheng and Murai (2003) ẼἻ䛿ᖖ䛻0.1sඛ䛾㐠ື䜢ぢ䛫䜛䠄ே㛫䛿0.1sᚋ䛾ୡ⏺䜢ぢ䛶䛔䜛䠅

఩┦䛜 30 ᗘඛ⾜䛩䜛 Cheng and Murai (2003)

Ỉ୰䛷ẼἻ䜢ᯈ䛷

྇䛟䛣䛸䛿୙ྍ⬟

஘ὶ୰䛷䜒஘䜜䜘䜚ඛ⾜䛧䛶㐠ື

䜚ඛ⾜䛧䛶㐠ື

(18)

25

Formula of Carrier Velocityy

ᾮ┦㏿ᗘ䝧䜽䝖䝹䜢ồ䜑䜛ᘧ

26

Along Trajectory g j y

Taylor-Green ิ䛾 N-S ᪉⛬ᘧせ⣲ゎ䛻䜘䜛❧ドィ⟬

(19)

27

Backward Slip Computation p p

ᩘ᳨್ド䛷䛿䛂᏶඲䛺㏫ゎᯒ䛜ྍ⬟䛃

㌶㊧ୖ䛾ẼἻ㏿ᗘ䛛䜙ᾮ┦㏿ᗘ䜢ồ䜑䜛ไᗘ

28

Application to Bubble Plume pp

Cheng and Murai (2005)

ẼἻ⏬ീ Ẽ┦㏿ᗘ ⤊➃㏿ᗘ೫ᕪ ㏫ゎᯒ

(20)

29

Aero-PIV Project j

⛉◊ 䛂Ẽὶ⎔ቃ䛾᫬✵㛫ᵓ㐀 ᐃ䛻ྥ䛡䛯 PIV 㛤ᣅ◊✲䛃㢼Ὕ௨እ䛷䛾ᛂ⏝᫬䛻㏣ᚑᛶ䛜㧗䛟ᢅ䛔䜔䛩䛔⢏Ꮚ䛜䛺䛔

ὶ䜜 ᭱▷Ἴ㛗䜢⾲⌧䛩䜛䝃⃰ᗘ䜖䜙䛞䠍䠊ὶ䜜䛾᭱▷Ἴ㛗䜢⾲⌧䛩䜛䝖䝺䞊䝃⃰ᗘ䜖䜙䛞䠎䠊⎔ቃ䝛䜺䝔䜱䝤䜲䞁䝟䜽䝖䛾䛺䛔䝖䝺䞊䝃≀㉁

䠏䠊ὶ䜜䛻䝖䝺䞊䝇䛧䛺䛔‽䝖䝺䞊䝃䛻䜘䜛 PTV ㏫ゎᯒ Ѝ௒ᅇ

NACA63015 NACA63015

30

PIV for Airfoil

Kanda and Murai (2007)

ኻ㏿⩼䛾ᐇ㦂

Water Mist Soap Bubbles

ὶ⥺஺ᕪ

Water Mist Soap Bubbles ( )

³

(4

2

) (4 / 3)

w

r

b

r

b

ρ π δ ρ π δ

ρ = ⁺

₃

⁻

(4 / 3)

b

r

b

ρ ⁼ π

(21)

31

Mist V.S. Soap Bubbles p

᫬㛫ᖹᆒ䛿↓ព࿡

༢⣧᫬㛫ᖹᆒ䛩䜛䛸ᐇ㝿䜘䜚䜒኱䛝䛺ᾷ䜏㡿ᇦ䛻

᫬㛫ᖹᆒ䛿↓ព࿡

༢⣧᫬㛫ᖹᆒ䛩䜛䛸ᐇ㝿䜘䜚䜒኱䛝䛺ᾷ䜏㡿ᇦ䛻

32

Soap Bubble Trajectory p j y

Density Ratio=1 7mm /Density Ratio=7 Density Ratio 1 7mm /Density Ratio 7

ὶ⬦⥺䛜஺ᕪ Ѝ 䛰䛛䜙䛣䛭ຍ㏿ᗘ䜢⤒⏤䛧䛯㏫ゎᯒ䜈

(22)

33

Soap in Karman Vortex p

Re=20000

஺ᕪ䛜㢖Ⓨ䛩䜛

d=2mm

PTV

䝅䝱䝪䞁⋢䛭䛾䜒䛾䛾ື䛝䛷䛿䜹䝹䝬䞁䛜ぢ䛘䛺䛔䝅䝱䝪䞁⋢䛭䛾䜒䛾䛾ື䛝䛷䛿䜹䝹䝬䞁䛜ぢ䛘䛺䛔

34

Carrier Flow Field

Re=20000

ຍ㏿ᗘ䝧䜽䝖䝹ሙ䜒஺ᕪ䛧䛶䛔䜛䠊䠊䠊ึᮇ್ၥ㢟

d=2mm

㐠ື᪉⛬ᘧ䜢㏫⟬䛩䜛䛣䛸䛷䜹䝹䝬䞁䛜ぢ䛘䛶䛝䛯

(23)

35

Summary

1 ㏣ᚑᛶ䛜୙᏶඲䛺⢏Ꮚ䜢䝖䝺䞊䝃䛸䛧䛶⏝䛔䛯ሙྜ PIV 䛚

y

1. ㏣ᚑᛶ䛜୙᏶඲䛺⢏Ꮚ䜢䝖䝺䝃䛸䛧䛶⏝䛔䛯ሙྜ䠈 PIV 䛚䜘䜃 PTV 䛻䜘䜛⤖ᯝ䛿┿್䛻ᑐ䛧䛶ⴭ䛧䛟ኚ໬䛩䜛䠊䛧䛛䛧䛭䛾୪㐍㐠ື᪉⛬ᘧ䛜☜❧䛧䛶䛔䜜䜀䠈ຍ㏿ᗘ䝧䜽䝖䝹䛸᫬

✵㛫⿵㛫᧯స䜢௓䛧䛶ὶయ䛾㠀ᐃᖖ䛺㏿ᗘ䝧䜽䝖䝹ሙ䜢᚟

ඖ䛩䜛䛣䛸䛜䛷䛝䜛䠊

2 䝬䜲䜽䝻䝞䝤䝹䛾䜘䛖䛻㐠ື᪉⛬ᘧ䜢ᵓᡂ䛩䜛ຊ䛾せ⣲䛾 2. 䝬䜲䜽䝻䝞䝤䝹䛾䜘䛖䛻㐠ື᪉⛬ᘧ䜢ᵓᡂ䛩䜛ຊ䛾せ⣲䛾

ᩘ䛜ᑡ䛺䛔䛸䠈᝟ሗ㔞䛜᭷ຠά⏝䛥䜜䛪᚟ඖ⢭ᗘ䛜ಖド䛥䜜䛻䛟䛟䛺䜛䜎䛯䛭䛾䜘䛖䛺䜿䞊䝇䛷䛿ὶయ䛸⢏Ꮚ䛾㐠ື㔞䜜䛻䛟䛟䛺䜛䠊䜎䛯䛭䛾䜘䛖䛺䜿䝇䛷䛿ὶయ䛸⢏Ꮚ䛾㐠ື㔞

஺᥮䜒ᵓ㐀໬䛧䠈㏫ゎᯒ䛜୙㐺䛸䛺䜛䠊

3. 1mm 䜸䞊䝎䞊䛾ẼἻ䜔䝅䝱䝪䞁⋢䛾䜘䛖䛻ከᩘ䛾せ⣲䛜」

ྜ䛧䛯㐠ື᪉⛬ᘧ䜢䜒䛴䜋䛖䛜ὶయ䛾㏿ᗘ䝧䜽䝖䝹䛾᥎ᐃ 䛻䛚䛔䛶䜘䜚ṇ☜䛺ᣊ᮰᮲௳䠄ゎ䛾၏୍ᛶ䠅䜢୚䛘䜛䛣䛸䛸䛺䜛

䜛䠊

36

Advantage of PTV g

▷ᡤ䛸ぢ䜛ሙྜ 㛗ᡤ䜈䛾ㄞ᭰䛘 1. ಶ䚻䛾䝖䝺䞊䝃⢏Ꮚ䛾

㏿ᗘ䝧䜽䝖䝹䜢㧗䛔⢭

1. 䝖䝺䞊䝃⢏Ꮚ⃰ᗘ䜢ᑠ

䛥䛟ᢚ䛘䛶㔜䛺䜙䛺䛔䜘㏿ᗘ 䜽䜢㧗 ⢭ ᗘ䛷ィ䠊⿵㛫ἲḟ➨

䛷 PIV 䛾⢭ᗘ䜢㉸䛘䜛䠊䛖䛻᧜ീ䛧䛺䛡䜜䜀䛺

䜙䛺䛔䠊

2. 3 ᫬้௨ୖ䛾㏣㊧䛷䛿 ᖖ䛻ຍ㏿ᗘ䝧䜽䝖䝹䜒 2. 䛭䛾䜎䜎䛷䛿ὶ⥺䜔

ᗘ䛜ฟ䛺䛔䛾䛷㧗ᗘ䛺

ᚋฎ ₇⟬䛜ᚲ ྠ᫬ィ䛥䜜䜛䠊

3. ᫬㛫ⓗ㐃⥆ᛶ䛥䛘䛒䜜 ᚋฎ⌮₇⟬䛜ᚲせ䠊

3. 3 ᫬้௨ୖ䛾㏣㊧䜢ྍ ⥆ 䛒䜀ὶయ䛻᏶඲䛻㏣ᚑ 䛩䜛䝖䝺䞊䝃䛷䛒䜛ᚲ せᛶ䛛䜙ゎᨺ䛥䜜䜛

⬟䛸䛩䜛䜘䛖䛻᫬㛫ⓗ

㐃⥆ᛶ䜢ಖド䛩䜛᧜ᙳ

䛜ᚲせせᛶ䛛䜙ゎᨺ䛥䜜䜛䠊

䛜ᚲせ䠊

(24)

1

➨ 㻠 ᅇ 㻱㻲㻰㻛㻯㻲㻰⼥ྜ䝽䞊䜽䝅䝵䝑䝥䠄㻞㻜㻝㻝 ᖺ 㻝 ᭶ 㻞㻡 ᪥䠅㻌

ὶయ⛉Ꮫ䛸㻱㻲㻰㻛㻯㻲㻰⼥ྜ䠖஘ὶ◊✲䛛䜙ぢ䜛ᖹᆒሙ䝎䜲䝘䝰㻌

Fluid Science and EFD/CFD Integration: Mean-Field Dynamo in Light of Turbulence Research

㻌

ྜྷ⃝㻌 ᚩ䠄㻶㻭㼄㻭䚸ᐈဨ䠅㻌㻌

㻌 ᮏᑠㄽ䛿௨ୗ䛾㻞 Ⅼ䛛䜙䛺䜛䠖㻌䠄㻝䠅䝎䜲䝘䝰䛾ᴫㄽ㻌

㻌䝎䜲䝘䝰䠖ᆅ☢Ẽ䚸ኴ㝧☢ሙ䚸䛭䛾௚䛾ኳయ☢ሙ䠄㝆╔෇┙☢ሙ䛺䛹䠅䛾Ⓨ⏕䞉⥔ᣢᶵᵓ㻌䠄㻞䠅஘ὶ◊✲䛛䜙䛾♧၀㻌

㻌 ஘ὶ䝰䝕䝸䞁䜾䠄

⊂

㻯㻲㻰䠅䛸䛿㻌

㻌㻌㻌㻱㻱㻲㻰䛻䜘䜛▱ぢ㻌䊻㻌䛭䛾୍㒊䠄ᕧどⓗᛶ㉁䠅䜢ᩘᘧ䛷⾲⌧㻌䊻㻌䝯䜹䝙䝈䝮䛾ᥦ㉳㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌

㻌

㻌㻌㻌䠄㻱㻱㻲㻰䜈䝣䜱䞊䝗䝞䝑䜽䠅㻌

㻌䠄㼍䠅䝺䜲䝜䝹䝈ᖹᆒ䝰䝕䝸䞁䜾䛾どⅬ䛷䛾ᖹᆒሙ䝎䜲䝘䝰䠄䝰䝕䝸䞁䜾䛛䜙䛾♧၀䠅㻌㻌䠄㼎䠅㝆╔෇┙䛾཮ᴟ䝆䜵䝑䝖䛸㉸㡢㏿䛚䜘䜃᪕ᅇຠᯝ䠄⌧㇟㠃䛛䜙䛾♧၀䠅㻌

㻝㻌 ☢ሙ䛜ᐦ᥋䛩䜛඾ᆺⓗ䛺ኳయ⌧㇟㻌㻭㻌 ᆅ☢Ẽ 㻌

㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌

㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌 ᆅ⌫༙ᚄ䠖㻢㻟㻜㻜㻌㼗㼙㻌

㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌 ෆ᰾䠖ᅛయ䛾㕲㻌㻌 እ᰾䠖⁐⼥㕲㻌㻌㻌㻌㻌㻌㻌㻌㻌䝫䝻䜲䝎䝹☢ሙ䛾ᕧどⓗᵓ㐀䠖཮ᴟᏊᡂศ 㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌䝬䞁䝖䝹䠖䜿䜲⣲㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌䠄䝖䝻䜲䝎䝹☢ሙ䛿䝬䞁䝖䝹䛻䜘䜚ほ ୙⬟䠅㻌㻌

⯆࿡῝䛔஦㇟౛䠷㻝䠹䠖㻌

䠄㼍䠅ᩘ༑୓ᖺ༢఩䛾཮ᴟᏊ☢ሙ䛾཯㌿䠄㏫㌿䠅㻌

䠄㼎䠅༢఩య✚ᙜ䛯䜚䛾䜶䝛䝹䜼䞊ẚ䛾ㅦ䠄☢ሙ䜶䝛䝹䜼䞊㻌㻌㻪㻪㻌㻌 ⁐⼥㕲䛾㐠ື䜶䝛䝹䜼䞊䠅㻌

(25)

3

㻮㻌 ኴ㝧☢ሙ㻌

ኴ㝧༙ᚄ䠖㻣㻟 ୓㻌㼗㼙㻌㻌 ୺ᡂศ䠖Ỉ⣲䠄㻣㻜䠂䠅㻌㻌䝦䝸䜴䝮䠄㻟㻜䠂䠅㻌㻌

㻌㻌㻌㻌㻌㻌㻌

㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌 ෆ㒊ᵓ㐀㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㯮Ⅼ䠖ᑐὶᒙ䛾䝖䝻䜲䝎䝹☢ሙ䛾᩿㠃㻌

⯆࿡῝䛔஦㇟౛䠖㻌

䠄㼍䠅㯮Ⅼ䛾ᴟᛶ๎䠄౛䠖ඛ㢌㯮Ⅼ䛾ᴟᛶ䛸ᴟ☢ሙ䛾ᴟᛶ䛜୍⮴䠅㻌䠄㼎䠅㯮Ⅼ䛻㛵䛩䜛⣙ 㻝㻝 ᖺ࿘ᮇ㻌

㻯㻌㝆╔෇┙䠖཮ᴟ䝆䜵䝑䝖䠷㻞䠹㻌

㻌㻌㻌㻌㻌

㻌㻌㻌㻌㻌㻌㻌㻌㻌 ኳᩥ䝆䜵䝑䝖㻌㻌

㻌 ୰ᚰኳయ䠖㻌

㻌㻌㻌 ཎጞᫍ㻌㻌䠄㉁㔞䠖ኴ㝧⛬ᗘ䜎䛷㻌㻌㻌㻌㻌䝆䜵䝑䝖㏿ᗘ䠖ࠥ㻝㻜㻜㻌㼗㼙㻛㼟䠅㻌㻌㻌

㻌㻌 άື㖟Ἑ᰾䠄㉁㔞䠖ኴ㝧䛾ᩘ൨ಸ䜎䛷㻌㻌㻌䝆䜵䝑䝖㏿ᗘ䠖ග㏿䛻㏆䛔䠅㻌䊻㻌 ┦ᑐㄽ㻌㻌

㻌 ⯆࿡῝䛔஦㇟౛䠖㻌

㻌㻌䠄㼍䠅䝆䜵䝑䝖䛾Ⓨ⏕䠄᪕ᅇὶ㻌䊻㻌ゅ㐠ື㔞䛾ᨺฟ䛸䜒㛵㐃䠅㻌

㻌㻌䠄㼎䠅䝆䜵䝑䝖䛾䝁䝸䝯䞊䝅䝵䞁䠄ᖹ⾜ᛶ䠅㻌

(26)

5

㻞㻌 ᖹᆒሙ䝎䜲䝘䝰䛸䛿䠷㻟㻌㻙㻌㻣䠹㻌

㻌䝎䜲䝘䝰㻌㻌㻌䠖ὶ䜜䛻䜘䛳䛶☢ሙ䛜Ⓨ⏕䞉⥔ᣢ䛥䜜䜛ᶵᵓ 㻌㻌 ᖹᆒሙ䝎䜲䝘䝰䠖☢ሙ䛾ᕧどⓗᛶ㉁䜢ᑐ㇟䛸䛩䜛㻌㻌㻌㻌㻌㻌㻌 ᆅ☢Ẽ䛾཮ᴟᏊ☢ሙ 㻌

㻌 ኴ㝧䛾䝖䝻䜲䝎䝹☢ሙ䠄㯮Ⅼ䛾㉳※䠅㻌

㻌㻌㻌㻌㻌㻌㻌㻌㻌 ኳᩥ䝆䜵䝑䝖䛻䛚䛡䜛䜙᪕ᙧ≧☢ሙ 㻌㻌

㻭㻌䜰䝹䞂䜵䞁㏿ᗘ༢఩㻌㻌

㻌

p ρ ^→ ^p

b ρμB

→ b j

ρ^/μB

→ j

㻌㻌㻌

ρ

䠖ᐦᗘ㻌㻌㻌

p

䠖ᅽຊ㻌㻌㻌

b

䠖☢ሙ䠄☢᮰ᐦᗘ䠅㻌㻌

j

䠖㟁ὶᐦᗘ㻌

μB

䠖㏱☢⋡㻌

㻌

㻌 ≉ᚩ䠖

b

䛾༢఩䛜㏿ᗘ䛸䛺䜛㻌

㻮㻌㟁☢ὶయ᪉⛬ᘧ䠄ㄝ᫂䜢⡆༢䛻䛩䜛䛯䜑䚸ᐦᗘ୍ᐃ䛾ሙྜ䜢⪃䛘䜛䠅㻌㻌

㻌

∇ ⋅u=0

㻌

㻌㻌

㻌

∂u_i

∂t +

(

u⋅∇

)

^ui= −∂p

∂x_i+

(

j×b

)

i+ν∇²u_i+G_i

㻌

G

䠖య✚ຊ䠄䝁䝸䜸䝸ຊ䚸䝤䝆䝛䝇䜽㏆ఝ䛻䜘䜛ᾋຊ䛺䛹䠅㻌㻌

㻌

∂b

∂t = ∇ ×(u×b)+λM∇²b ⇐ ∂b

∂t = −∇ ×e j= ∇ ×b = 1 λM

e+u×b

( )

㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㟁☢ㄏᑟ๎㻌㻌㻌㻌㻌㻌䜰䞁䝨䞊䝹๎㻌㻌㻌㻌㻌㻌䜸䞊䝮๎㻌

㻌㻌

_λ_M

䠖☢Ẽᣑᩓ⋡㻌㻌㻌㻌

e

䠖㟁ሙ㻌㻌

㻌㧗☢Ẽ䝺䜲䝜䝹䝈ᩘ䠄

_λ_M_→0

䠅㻌䋻㻌㻌 ☢ຊ⥺䛿ὶయ䛻෾⤖㻌

(27)

7

㻯㻌㻯㼛㼣㼘㼕㼚㼓䛾཯䝎䜲䝘䝰㻌㻌

㍈ᑐ⛠☢ሙ䠄౛䠖䝫䝻䜲䝎䝹☢ሙ䛾཮ᴟᏊᡂศ䠅䛿㍈ᑐ⛠㏿ᗘሙ䛷䛿⥔ᣢ䛷䛝䛺䛔㻌㻌

䊼㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌

㍈ᑐ⛠ᛶ䛛䜙䛾䛪䜜䛜୙ྍḞ㻌㻌

㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌䊼㻌㻌䝺䜲䝜䝹䝈ᩘ኱㻌䊹㻌 ᆅ⌫እ᰾䠖

O

( )

10⁸

㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌

஘ὶ≧ែ䜢᝿ᐃ㻌㻌

㻰㻌 ᖹᆒሙ᪉⛬ᘧ㻌㻌

㻌

^f =F+ ′ f F= f

㻌㻌

^f =

(

u,p,b,j,e,ω

)

^F=(U,P,B,J,E,Ω) f ′ = ′

(

u ,p ,′ b ,′ j, ′ e ,′ ω ′

)

ω = ∇ ×u

㻌㻌

㻌

DU_i Dt ≡ ∂

∂t+U⋅ ∇∇

U_i= − ∂

∂x_i P+ 1 2b ′ ²

+ ∂

∂x_j

( )

−R_ij ⁺ ^Gⁱ ⁺^ν^∇²^Uⁱ ^{∇ ⋅}^U⁼⁰

㻌

∂B

∂t = ∇ ×

(

U×B+E_M

)

+λM∇²B J= ∇ ×B= 1 λM

E+U×B+E_M

( )

㻌㻌

^Rîj^{= ′}ûⁱû^′^j^{− ′}^bⁱ^b^′^j

㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌

^EM = ′ u × ′ b

㻌

㻌㻌㻌㻌㻌㻌㻌㻌䝺䜲䝜䝹䝈ᛂຊ㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌 ஘ὶ㉳㟁ຊ䠄஘䜜䛻䜘䜛㟁ὶ䜈䛾ᐤ୚䠅㻌㻌

ᖹᆒሙ䝎䜲䝘䝰㻌䊹㻌㟁☢ὶయ஘ὶ䛾䝺䜲䝜䝹䝈ᖹᆒ䝰䝕䝸䞁䜾㻌

(28)

㻟㻌 ஘ὶ䝰䝕䝸䞁䜾䛛䜙ぢ䜛ᖹᆒሙ䝎䜲䝘䝰䛾ᶆ‽䝰䝕䝹䛾Ḟ㝗㻌㻌

㻌 ᾋຊ䛺䛹䛾⇕ຠᯝ㻌䊻㻌㻌

R_ij

㻌㻌㻌㻌㻌㻌㻌 ᖹᆒṍ䜏䜔ᖹᆒ ᗘ䛺䛹䛾ὶ䜜ຠᯝ㻌䊻㻌 ⇕䝣䝷䝑䜽䝇㻌㻌

㻭㻌 ஘ὶ㉳㟁ຊ

E_M

㻌㻌䠄㼍䠅ὶ䜜䠄ᖹᆒὶ䠅ຠᯝ䛾Ḟዴ 㻌㻌䠄㼎䠅㏿ᗘሙ䜈䛾཯స⏝䛾Ḟዴ㻌

㻌

^J^×^B⁼ 1

λM+β(^E⁺^U^×^B)×B (αB×B=0)

㻌㻌

㻮㻌䝺䜲䝜䝹䝈ᛂຊ

R_ij

㻌

㻌㏿ᗘሙ䜢௬ᐃ㻌䊻㻌㐠ືㄽⓗ䝎䜲䝘䝰䠖

R_ij

䛿⪃ᐹ䛥䜜䛶䛔䛺䛔㻌㻌

㐠ືㄽⓗ䝎䜲䝘䝰䠄ᶆ‽䝰䝕䝹䠅䛾Ḟ㝗䜢ᖹᆒሙ䝎䜲䝘䝰䛾Ḟ㝗䛸ΰྠ㻌㻌

㻌

9

㻱㻌 ᖹᆒሙ䝎䜲䝘䝰䛾ᶆ‽䝰䝕䝹䠖஘ὶ㉳㟁ຊ

E_M

䛾䝰䝕䝸䞁䜾㻌㻌

㻌 ୺䛯䜛㛵ᚰ䛿☢ሙ䛾Ⓨ⏕䞉⥔ᣢᶵᵓ䛻䛒䜛㻌䊻㻌㐠ືㄽⓗ䝎䜲䝘䝰䠄㼗㼕㼚㼑㼙㼍㼠㼕㼏㻌㼐㼥㼚㼍㼙㼛䠅㻌

㻌㻌

㻌 ὶయ㐠ື䛾㥑ືຊ䠄ᾋຊ䠖ືᚄ᪉ྥ䠅㻌䠇㻌 ᅇ㌿䠄䝁䝸䜸䝸ຊ䠅㻌

㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌䠄㼀㼍㼥㼘㼛㼞㻙㻼㼞㼛㼡㼐㼙㼍㼚䛾ᐃ⌮㻌䊻㻌㻞 ḟඖ໬䠅㻌

㻌㻌㻌㻌㻌㻌㻌 ᑐὶᰕ 㻌㻌㻌㻌㻌䜰䝹䝣䜯䠄䝦䝸䝅䝔䜱䠅䝎䜲䝘䝰㻌

㻌

^E^M ⁼αB−βJ J= 1

λM+β(^E⁺^U^×^B⁺αB)

㻌

㻌㻌 αB

䠖䜰䝹䝣䜯ຠᯝ㻌㻌䊻㻌㻌 ☢ሙ

B

䛻ᖹ⾜䛺㟁ὶ䛾Ⓨ⏕䠄䜸䞊䝮๎䠖

B

䛻ᆶ┤䠅㻌

㻌㻌 βJ

䠖஘ὶ䠄␗ᖖ䠅᢬ᢠຠᯝ㻌㻌䊻㻌㻌 ☢ሙ䛾஘ὶᣑᩓ䛾ቑ኱㻌

(29)

㻰㻌䜹䝑䝥䝸䞁䜾ຠᯝ䛾㻌 ᚲせᛶ㻌㻌

㻌 ᶆ‽䝰䝕䝹䛾䜰䝹䝣䜯䠄䝦䝸䝅䝔䜱䠅ຠᯝ䛷䛿ㄝ᫂䛷䛝䛺䛔☢ሙⓎ⏕౛䛜ᑡ䛺䛟䛺䛔䠷㻥㻘㻌㻝㻜䠹㻌㻌

㻌㻌 ౛䠖ᖹᯈ㛫ὶ䜜䛾㻸㻱㻿䠄ᖹᆒ㏿ᗘ䝅䜵䜰㻌䊻㻌 ᖹᆒ ᗘ㻌䊻㻌 ᖹᆒ㟁ὶ㻌䊻㻌 ᖹᆒ㟁ὶ䠅䠷㻝㻜䠹㻌㻌

㻌㻌㻌㻌㻌㻌㻌

㻌㻌

㻌㻌㻌㻌㻌㻌㻌㻌㻌 ᖹ⾜ᖹᯈ㛫ὶ䜜㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌 ᖹᆒὶ

U_x

㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌 ᖹᆒ☢ሙ

B_x

㻌㻌㻌㻌㻌䠄ᕪືᅇ㌿䜢ᶍᨃ䠅㻌

B

䛸

U

䛾ᩚิ㻌䊹㻌䜽䝻䝇䜈䝸䝅䝔䜱ຠᯝ㻌

11

㻯㻌 ☢ሙ䛸㏿ᗘሙ䛾䜹䝑䝥䝸䞁䜾䛾⤌䜏㎸䜏䠷㻢㻌㻙㻌㻤䠹䠖஘ὶ䝰䝕䝸䞁䜾䛛䜙䛾♧၀㻌

䜽䝻䝇䝦䝸䝅䝔䜱䝎䜲䝘䝰㻌㻌㻌㻌㻌㻌㻌㻌

u _′⋅ ′ b

䠖䜽䝻䝇䝦䝸䝅䝔䜱㻌㻌

㻌

E_M =αB−βJ+γΩ → J= 1

λM+β

(

^E⁺^U^×^B⁺αB+γΩ

) 㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌䠄㐠ືຠᯝ䠅㻌㻌㻌

_γ _{∝ ′}u ⋅ ′ b 㻌

䊻㻌

J×B

䛻ᑐ䛩䜛ᖹᆒ ᗘ䠄

_Ω

䠅ຠᯝ㻌㻌

㻌

R_ij=1

3R_""δij−νTS_ij+νMM_ij S_ij=∂U_j

∂x_i +∂^Ui

∂x_j M_ij =∂B_j

∂x_i+∂^Bi

∂x_j

㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌䠄☢ሙṍ䜏ຠᯝ䠅㻌

㻌㻌

S_ij

䠖ᖹᆒ㏿ᗘṍ䜏㻌㻌㻌

M_ij

䠖ᖹᆒ☢Ẽṍ䜏㻌㻌㻌

νT

䠖஘ὶ⢏⢓ᛶ⋡㻌㻌㻌

νM∝ ′ u ⋅ ′ b

㻌㻌

㻌

(30)

13

㻌㻠㻌 ஘ὶ䝰䝕䝸䞁䜾䛛䜙䛸ኳᩥ䝆䜵䝑䝖◊✲䜈䛾♧၀㻌

㻌 ኳᩥ䝆䜵䝑䝖䛾≉ᛶ䠖㻌㻌 ᪕ᅇὶ䠄ゅ㐠ື㔞䛾ᨺฟ䠅䠇㻌㉸㡢㏿ὶ㻌㻌㻭㻌㉸㡢㏿ΰྜᒙ䛾◊✲䛛䜙䛾♧၀ 㻌

㻭㻝㻌 ᡂ㛗⋡పୗ䛾ほ䠷㻝㻝䠹㻌䊻㻌 ஘ὶᣑᩓ䛾పୗ㻌䊻㻌䝁䝸䝯䞊䝅䝵䞁䛻ᐤ୚㻌㻌㻱㻲㻰㻌䊻㻌㻯㻲㻰㻌䠄䝰䝕䝸䞁䜾䠅㻌

㻌㻌㻌㻌㻌㻌㻌

㻌

M_C=U₁−U₂

a₁+a₂ G=dδ

dx G_N= G lim G

M_C→0

㻌

㻌㻌㻌

M_C

䠖ᑐὶ䝬䝑䝝ᩘ㻌㻌

a

䠖㡢㏿㻌㻌㻌

_δ

䠖ΰྜᒙཌ䛥㻌㻌

G

䠖ᡂ㛗⋡㻌

㻭㻞㻌 ᣑ኱⋡పୗ䛾䝰䝕䝸䞁䜾䠷㻝㻞㻘㻝㻟䠹㻌

㻌㠀ᖹ⾮ຠᯝ䠄䊻㻌 ᖹᯈቃ⏺ᒙὶ䜜䛷䛿ᙅ䛔䠅㻌㽢㻌㻌㉸㡢㏿ຠᯝ㻌

㻌㻌

_→ ¹

K D Dt

K² ε

×M_T² M_T = 2K a

㻌㻌㻌㻌M_T

䠖஘ὶ䝬䝑䝝ᩘ㻌㻌㻌㻌㻌

a

䠖ᖹᆒ㡢㏿㻌㻌㻌㻌㻌

㻌

νT =C_νK²/ε Λ ¹⁻^C^BA

1

Λ ¹⁺^C^M^M^T

(

2

)

_K¹ _Dt^D^K_ε²

㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌

_Λ

䠖᫬㛫䝇䜿䞊䝹⿵ṇᅉᏊ㻌

㻌

㻌㻱㻲㻰䠄ᣑ኱⋡పୗ䠅䊻㻌 ஘ὶ䝰䝕䝸䞁䜾䠄㻯㻯㻲㻰䠅䠖㠀ᖹ⾮㉸㡢㏿ຠᯝ䛾ᣦ᦬㻌㻌㻌㻌䊻㻌 ᣑᩓపୗᶵᵓ䛾ᥦ㉳㻌㻌䋻㻌 ኳ ኳᩥ䝆䜵䝑䝖䛾䝁䝸䝯䞊䝅䝵䞁㻌

㻌䠄㻱㻱㻲㻰䜈䝣䜱䞊䝗䝞䝑䜽䠅㻌

(31)

15

㻮㻌 ᪕ᅇὶ◊✲䛛䜙䛾♧၀㻌㻮㻝㻌 ෇⟶ෆ᪕ᅇὶ䠷㻝㻠㻌㻙㻌㻝㻢䠹㻌

෇ᰕᗙᶆ㻌

(x,r,θ)

࿘᪉ྥ㏿ᗘ

U_θ 㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌

㻌㍈᪉ྥ㏿

U_x

㻌

෇⟶ෆ᪕ᅇὶ䛾㢧ⴭ䛺≉ᛶ䠖㻱㻲㻰䛾▱ぢ㻌

ධཱྀ௜㏆䠄㻿㻝䠅䛛䜙⟶ᚄ䛾⣙ 㻢㻜 ಸ䛾㊥㞳䛾ᆅⅬ䠄㻿㻣䠅䛷䛾

U_x

䛾ኚ໬䛿䛯䛔䜈䜣ᑠ䛥䛔㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌䊼㻌

㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌 ஘ὶᣑᩓ䛾పୗ 㻌

㻮㻞㻌 ⩼➃ 䠷㻝㻣㻘㻌㻝㻤䠹㻌㻌

୰ᚰ㏿ᗘ䛜ῶ㏿㻌䊻㻌 ෇⟶ෆ᪕ᅇὶ䛸㢮ఝ㻌㻌

㻌㻌

㻌

(32)

17

㻮㻟㻌䝦䝸䝅䝔䜱ຠᯝ㻌

㻌 ᗘ᪉⛬ᘧ㻌

㻌㻌

∂ω

∂^t ^{= ∇ ×}(^u^{× ω}^ω)+ν∇²ω

㻌㻌

㻌

u× ωω ( )²

u²ω² +(u⋅ωω)²

u²ω²=1

(

sin²θ +cos²θ =1

) _㻌

㻌㻌䊻㻌

u⋅ ωω

䛿

u× ωω

䠄䜶䝛䝹䜼䞊䜹䝇䜿䞊䝗䠅䜢つᐃ䛩䜛䝟䝷䝯䝍䞊㻌㻌㻌䊻㻌

u⋅ ωω

኱㻌䋻㻌

u× ωω

ᑠ㻌

㻌

u⋅ ωω

䠖䝦䝸䝅䝔䜱䠄

u

䛸

_ω

䛾ᩚิᗘ䠅㻌䊻㻌

u⋅ ωω

䛾஘ὶ⢓ᛶ⋡䜈䛾⤌䜏㎸䜏㻌㻌

㻌 ၥ㢟Ⅼ䠖䜺䝸䝺䜲୙ኚ䛷䛿䛺䛔䠄‽ᣐ䛩䜛ᗙᶆ䛻౫Ꮡ䠅㻌㻌

㻌㻌

㻮㻟㻌 ஘ὶ䝰䝕䝸䞁䜾䠖䝦䝸䝅䝔䜱ຠᯝ䛾஘ὶ⢓ᛶ⋡䜈䛾⤌䜏㎸䜏䠷㻝㻥䠹㻌㻌

㻌 ᖹᆒὶ䛾䝦䝸䝅䝔䜱䠖㻌

㻌㻌

^U^⋅Ω^{Ω ≅}^U^θΩ_θ+U_xΩx Ω_θ≅ −∂U_x

∂r

㻌㻌㻌

U_xΩx

㻌䊹㻌䜺䝸䝺䜲୙ኚ䛷䛿䛺䛔㻌㻌

㻌 ᪕ᅇὶ䛾ᮏ㉁䠖࿘᪉ྥὶ䛸㍈ὶ䛾พ䜏㻌㻌

㻌㻌䊻㻌㻌 ᪕ᅇὶ䜢≉ᚩ䛵䛡䜛㔞䠖

U_xΩx

㻌䊻㻌㻌䜺䝸䝺䜲୙ኚ䛸䛺䜛㻌㻌

U_xΩx

䜢ྵ䜐㔞䠖㻌

㻌㻌

DΩ Dt

_r ≅ −U_θΩ_θ r

㻌㻌

㻌

(33)

㻡㻌 ⤖ㄽ㻌

䠄㼍䠅ᖹᆒሙ䝎䜲䝘䝰◊✲䜈䛾♧၀ 㻌

஘ὶ䝰䝕䝸䞁䜾䛷䛾඾ᆺⓗ䛺䜹䝑䝥䝸䞁䜾ຠᯝ䛾◊✲䠖䝺䜲䝜䝹䝈ᛂຊ

R_ij

䜈䛾ᾋຊຠᯝ䛺䛹㻌䊼㻌

☢ሙ䛸㏿ᗘሙ䛾䜹䝑䝥䝸䞁䜾ຠᯝ䛾⤌䜏㎸䜏㻌㻌

䠄㼎䠅ኳᩥ䝆䜵䝑䝖◊✲䜈䛾♧၀ 㻌

஘ὶ䝰䝕䝸䞁䜾䛷䛾㉸㡢㏿䛚䜘䜃᪕ᅇຠᯝ䛾◊✲䠖㉸㡢㏿ΰྜᒙ䚸෇⟶᪕ᅇὶ 㻌䊼㻌

㉸㡢㏿䛚䜘䜃᪕ᅇຠᯝ䛻䜘䜛஘ὶᣑᩓ䛾పୗᶵᵓ䛾⪃ᐹ㻌㻌

㻌

஘ὶ䛾㻱㻲㻰㻛㻯㻲㻰 ◊✲䛿䚸⮬↛⛉Ꮫ◊✲䛷ぢ㐣䛤䛥䜜䛶䛔䜛≉ᛶ䛻ග䜢ᙜ䛶䜛䛣䛸䛜䛷䛝䜛㻌㻌

㻌

19

㻌 ஘ὶ⢓ᛶ⋡䜈䛾⤌䜏㎸䜏㻌䊹㻌 ᫬㛫䝇䜿䞊䝹

_τ

νT∝Kτ → νT =C_νK²/ε

Λ Λ = 1+C_S K εS_ij

2

+C_ΩL K εΩ

2 K²

ε² DΩ

Dt

2

㻌㻌㻌㻌㻌㻌㻌

㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌 ࿘᪉ྥ㏿ᗘ

U_θ

㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㍈᪉ྥ㏿ᗘ

U_x

㻌㻱㻲㻰䠄ᣑᩓ䛾పୗ䠅㻌䊻㻌 ஘ὶ䝰䝕䝸䞁䜾䠄䠄㻯㻲㻰䠅䠖䝦䝸䝅䝔䜱ຠᯝ䛾ᣦ᦬㻌

㻌㻌䊻㻌 ᣑᩓపୗᶵᵓ䛾ᥦ㉳㻌㻌䋻㻌 ኳᩥ䝆䜵䝑䝖䛾䝁䝸䝯䞊䝅䝵䞁㻌㻌

㻌㻌䠄㻱㻱㻲㻰䜈䝣䜱䞊䝗䝞䝑䜽䠅㻌

(34)

21

ཧ↷ᩥ⊩㻌

㼇㻝㼉㻌 ᶓ஭႐඘㻘㻌 ୗᮧ㻌 ⿱㻘㻌 ༙ሙ⸨ᘯ㻘㻌 ᒸᮏṇⰾ䠖஘䜜䛸ὶ䜜㻚㻌 ᇵ㢼㤋㻘㻌㻞㻜㻜㻤㻚㻌

㼇㻞㼉㻌 ᰘ⏣୍ᡂ㻘㻌 ⚟Ụ㻌 ⣧㻘㻌 ᯇᮏு἞㻘㻌 ᕊ㔜㻌 ៅ䠖άື䛩䜛Ᏹᐂ㻚㻌　⳹ᡣ㻘㻌㻝㻥㻥㻥㻚㻌

㼇㻟㼉㻌㻹㼛㼒㼒㼍㼠㼠㻘㻌㻴㻚㻌㻷㻚㻦㻌㻹㼍㼓㼚㼑㼠㼕㼏㻌㻲㼕㼑㼘㼐㻌㻳㼑㼚㼑㼞㼍㼠㼕㼛㼚㻌㼕㼚㻌㻱㼘㼑㼏㼠㼞㼕㼏㼍㼘㼘㼥㻌㻯㼛㼚㼐㼡㼏㼠㼕㼚㼓㻌㻲㼘㼡㼕㼐㼟㻚㻌㻯㼍㼙㼎㼞㼕㼐㼓㼑㻌㼁㼚㼕㼎㼑㼞㼟㼕㼠㼥㻌㻼㼞㼑㼟㼟㻘㻌㻯㼍㼙㼎㼞㼕㼐㼓㼑㻘㻌㻝㻥㻣㻤㻚㻌

㼇㻠㼉㻌㻷㼞㼍㼡㼟㼑㻌㻲㻌㼍㼚㼐㻌㻾㼍㼐㼘㼑㼞㻘㻌㻷㻙㻴㻚㻦㻌㻹㼑㼍㼚㻙㻲㼕㼑㼘㼐㻌㻹㼍㼓㼚㼑㼠㼛㼔㼥㼐㼞㼛㼐㼥㼚㼍㼙㼕㼏㼟㻌㼍㼚㼐㻌㻰㼥㼚㼍㼙㼛㻌㼀㼔㼑㼛㼞㼥㻚㻌㻼㼑㼞㼓㼍㼙㼛㼚㻌㻼㼞㼑㼟㼟㻘㻌㻻㼤㼒㼛㼞㼐㻘㻌㻝㻥㻤㻜㻚㻌

㼇㻡㼉㻌㻮㼕㼟㼗㼍㼙㼜㻘㻌㻰㻚㻦㻌㻹㼍㼓㼚㼑㼠㼛㼔㼥㼐㼞㼛㼐㼥㼚㼍㼙㼕㼏㻌㼀㼡㼞㼎㼡㼘㼑㼚㼏㼑㻚㻌㻯㼍㼙㼎㼞㼕㼐㼓㼑㻌㼁㼚㼕㼎㼑㼞㼟㼕㼠㼥㻌㻼㼞㼑㼟㼟㻘㻌㻯㼍㼙㼎㼞㼕㼐㼓㼑㻘㻌㻞㻜㻜㻟㻚㻌

㼇㻢㼉㻌㼅㼛㼟㼔㼕㼦㼍㼣㼍㻘㻌㻭㻚㻘㻌㻵㼠㼛㼔㻘㻌㻿㻚㻌㻙㻵㻚㻘㻌㼍㼚㼐㻌㻵㼠㼛㼔㻘㻌㻷㻚㻦㻌㻼㼘㼍㼟㼙㼍㻌㼍㼚㼐㻌㻲㼘㼡㼕㼐㻌㼀㼡㼞㼎㼡㼘㼑㼚㼏㼑㻚㻌㻵㼚㼟㼠㼕㼠㼡㼠㼑㻌㼛㼒㻌㻼㼔㼥㼟㼕㼏㼟㻌㻼㼡㼎㼘㼕㼟㼔㼕㼚㼓㻚㻌㻮㼞㼕㼟㼠㼛㼘㻘㻌㻞㻜㻜㻟㻚㻌

㼇㻣㼉㻌㼅㼛㼟㼔㼕㼦㼍㼣㼍㻘㻌㻭㻚㻘㻌㻵㼠㼛㼔㻘㻌㻿㻙㻵㻚㻘㻌㻵㼠㼛㼔㻘㻌㻷㻚㻘㻌㻌㼍㼚㼐㻌㼅㼛㼗㼛㼕㻘㻌㻺㻚㻦㻌㻰㼥㼚㼍㼙㼛㼟㻌㼍㼚㼐㻌㻹㻴㻰㻌㼠㼔㼑㼛㼞㼥㻌㼛㼒㻌㼠㼡㼞㼎㼡㼘㼑㼚㼏㼑㻌㼟㼡㼜㼜㼞㼑㼟㼟㼕㼛㼚㻚㻌㻼㼘㼍㼟㼙㼍㻌㻼㼔㼥㼟㼕㼏㼟㻌㼍㼚㼐㻌㻯㼛㼚㼠㼞㼛㼘㼘㼑㼐㻌㻲㼡㼟㼕㼛㼚㻘㻌㻠㻢㻘㻌㻾㻞㻡㻌㻔㻞㻜㻜㻠㻕㻚㻌

㼇㻤㼉㻌㼅㼛㼟㼔㼕㼦㼍㼣㼍㻘㻌㻭㻚㻦㻌㻿㼑㼘㼒㻙㼏㼛㼚㼟㼕㼟㼠㼑㼚㼠㻌㼠㼡㼞㼎㼡㼘㼑㼚㼠㻌㼐㼥㼚㼍㼙㼛㻌㼙㼛㼐㼑㼘㼕㼚㼓㻌㼛㼒㻌㼞㼑㼢㼑㼞㼟㼑㼐㻙㼒㼕㼑㼘㼐㻌㼜㼕㼚㼏㼔㼑㼟㻌㼍㼚㼐㻌㼜㼘㼍㼚㼑㼠㼍㼞㼥㻌㼙㼍㼓㼚㼑㼠㼕㼏㻌㼒㼕㼑㼘㼐㼟㻚㻌㻼㼔㼥㼟㼕㼏㼟㻌㼛㼒㻌㻲㼘㼡㼕㼐㼟㻌㻮㻘㻌㻞㻘㻌㻝㻡㻤㻥㻌㻔㻝㻥㻥㻜㻕㻚㻌

㼇㻥㼉㻌㻿㼡㼞㻘㻌㻭㻚㻌㼍㼚㼐㻌㻮㼞㼍㼚㼐㼑㼚㼎㼡㼞㼓㻘㻌㻭㻚㻦㻌㻌㼀㼔㼑㻌㼞㼛㼘㼑㻌㼛㼒㻌㼠㼔㼑㻌㼅㼛㼟㼔㼕㼦㼍㼣㼍㻌㼑㼒㼒㼑㼏㼠㻌㼕㼚㻌㼠㼔㼑㻌㻭㼞㼏㼔㼛㼚㼠㼕㼟㻌㼐㼥㼚㼍㼙㼛㻚㻌㻹㼛㼚㼠㼔㼘㼥㻌㻺㼛㼠㼕㼏㼑㼟㻌㼛㼒㻌㼠㼔㼑㻌㻾㼛㼥㼍㼘㻌㻭㼟㼠㼞㼛㼚㼛㼙㼕㼏㼍㼘㻌㻿㼛㼏㼕㼑㼠㼥㻘㻌㻟㻥㻥㻘㻌㻞㻣㻟㻌㻔㻞㻜㻜㻥㻕㻚㻌

㼇㻝㻜㼉㻌㻴㼍㼙㼎㼍㻘㻌㻲㻚㻌㼍㼚㼐㻌㼀㼟㼡㼏㼔㼕㼥㼍㻘㻌㻹㻦㻌㻯㼞㼛㼟㼟㻙㼔㼑㼘㼕㼏㼕㼠㼥㻌㼐㼥㼚㼍㼙㼛㻌㼑㼒㼒㼑㼏㼠㻌㼕㼚㻌㼙㼍㼓㼚㼑㼠㼛㼔㼥㼐㼞㼛㼐㼥㼚㼍㼙㼕㼏㻌㼏㼔㼍㼚㼚㼑㼘㻌㼒㼘㼛㼣㻚㻌㻼㼔㼥㼟㼕㼏㼟㻌㼛㼒㻌㻼㼘㼍㼟㼙㼍㼟㻘㻌㻝㻣㻘㻌㻜㻝㻞㻟㻜㻝㻌㻔㻞㻜㻝㻜㻕㻚㻌

㼇㻝㻝㼉㻌㻸㼍㼚㼡㼐㼑㼞㻘㻌㻮㻚㻌㻱㻚㻌㼍㼚㼐㻌㻿㼍㼚㼐㼔㼍㼙㻘㻌㻺㻚㻌㻰㻚㻦㻌㻯㼘㼛㼟㼡㼞㼑㻌㻿㼠㼞㼍㼠㼑㼓㼕㼑㼟㻌㼒㼛㼞㻌㼀㼡㼞㼎㼡㼘㼑㼚㼠㻌㼍㼚㼐㻌㼀㼞㼍㼚㼟㼕㼠㼕㼛㼚㼍㼘㻌㻲㼘㼛㼣㼟㻚㻌㻯㼍㼙㼎㼞㼕㼐㼓㼑㻌㼁㼚㼕㼢㼑㼞㼟㼕㼠㼥㻌㻼㼞㼑㼟㼟㻘㻌㻯㼍㼙㼎㼞㼕㼐㼓㼑㻘㻌㻞㻜㻜㻞㻚㻌

㼇㻝㻞㼉㻌㼅㼛㼟㼔㼕㼦㼍㼣㼍㻘㻌㻭㻚㻘㻌㻌㻺㼕㼟㼕㼦㼕㼙㼍㻌㻿㻚㻘㻌㻿㼔㼕㼙㼛㼙㼡㼞㼍㻘㻌㼅㻚㻘㻌㻷㼛㼎㼍㼥㼍㼟㼔㼕㻘㻌㻴㻚㻘㻌㻹㼍㼠㼟㼡㼛㻘㻌㼅㻘㻌㻭㼎㼑㻘㻌㻴㻚㻘㻌㼍㼚㼐㻌㻲㼡㼖㼕㼣㼍㼞㼍㻘㻌㻴㻚㻦㻌㻭㻌㼚㼑㼣㻌㼙㼑㼠㼔㼛㼐㼛㼘㼛㼓㼥㻌㼒㼛㼞㻌㻾㼑㼥㼚㼛㼘㼐㼟㻙㼍㼢㼑㼞㼍㼓㼑㼐㻌㼙㼛㼐㼑㼘㼕㼚㼓㻌㼎㼍㼟㼑㼐㻌㼛㼚㻌㼠㼔㼑㻌㼍㼙㼍㼘㼓㼍㼙㼍㼠㼕㼛㼚㻌㼛㼒㻌㼔㼑㼡㼞㼕㼟㼠㼕㼏㻙㼙㼛㼐㼑㼘㼕㼚㼓㻌㼍㼚㼐㻌㼠㼡㼞㼎㼡㼘㼑㼚㼏㼑㻌㼠㼔㼑㼛㼞㼥㻌㼙㼑㼠㼔㼛㼐㼟㻚㻌㻼㼔㼥㼟㼕㼏㼟㻌㼛㼒㻌㻲㼘㼡㼕㼐㼟㻘㻌㻝㻤㻘㻌㻜㻟㻡㻝㻜㻥㻌㻔㻞㻜㻜㻢㻕㻚㻌

㼇㻝㻟㼉㻌㻷㼕㼙㻘㻌㻶㻚㻌㼍㼚㼐㻌㻼㼍㼞㼗㻘㻌㻿㻚㻌㻻㻚㻦㻌㻺㼑㼣㻌㼏㼛㼙㼜㼞㼑㼟㼟㼕㼎㼘㼑㻌㼠㼡㼞㼎㼡㼘㼑㼚㼏㼑㻌㼙㼛㼐㼑㼘㼟㻌㼒㼛㼞㻌㼒㼞㼑㼑㻌㼍㼚㼐㻌㼣㼍㼘㼘㻙㼎㼛㼡㼚㼐㼑㼐㻌㼟㼔㼑㼍㼞㻌㼘㼍㼥㼑㼞㼟㻚㻌㻶㼛㼡㼞㼚㼍㼘㻌㼛㼒㻌㼀㼡㼞㼎㼡㼘㼑㼚㼏㼑㻘㻌㻝㻝㻘㻌㻌㻺㻝㻜㻌㻔㻞㻜㻝㻜㻕㻚㻌

㼇㻝㻠㼉㻌 ᮧୖගΎ㻘㻌㨣㢌ಟᕭ㻘㻌 ∦ᒣ㻌 ⿱㻘㻌㣤⏣ⰾᙪ䠖᪕ᅇ䜢క䛖⟶ෆὶ䜜䛾ᐇ㦂ⓗ◊✲㻚㻌 ᪥ᮏᶵᲔᏛ఍ㄽᩥ㞟㻘㻌㻠㻝㻘㻌㻝㻣㻥㻟㻌㻔㻝㻥㻣㻡㻕㻚㻌

㼇㻝㻡㼉㻌㻹㼡㼞㼍㼗㼍㼙㼕㻘㻌㻹㻚㻘㻌㻷㼕㼠㼛㻘㻌㻻㻚㻘㻌㻷㼍㼠㼍㼥㼍㼙㼍㻘㻌㼅㻚㻘㻌㼍㼚㼐㻌㻵㼕㼐㼍㻘㻌㼅㻚㻦㻌㻭㼚㻌㼑㼤㼜㼑㼞㼕㼙㼑㼚㼠㼍㼘㻌㼟㼠㼡㼐㼥㻌㼛㼒㻌㼟㼣㼕㼞㼘㼕㼚㼓㻌㼒㼘㼛㼣㻌㼕㼚㻌㼜㼕㼜㼑㼟㻚㻌㻮㼡㼘㼘㼑㼠㼕㼚㻌㼛㼒㻌㼠㼔㼑㻌㻶㻿㻹㻱㻘㻌㻝㻥㻘㻌㻝㻝㻤㻌㻔㻝㻥㻣㻢㻕㻚㻌

㼇㻝㻢㼉㻌㻷㼕㼠㼛㼔㻘㻌㻻㻚㻦㻌㻱㼤㼜㼑㼞㼕㼙㼑㼚㼠㼍㼘㻌㼟㼠㼡㼐㼥㻌㼛㼒㻌㼠㼡㼞㼎㼡㼘㼑㼚㼠㻌㼟㼣㼕㼞㼘㼕㼚㼓㻌㼒㼘㼛㼣㻌㼕㼚㻌㼍㻌㼟㼠㼞㼍㼕㼓㼔㼠㻌㼜㼕㼜㼑㻚㻌㻶㼛㼡㼞㼚㼍㼘㻌㼛㼒㻌㻲㼘㼡㼕㼐㻌㻹㼑㼏㼔㼚㼍㼚㼕㼏㼟㻘㻌㻞㻞㻡㻘㻌㻠㻠㻡㻌㻔㻝㻥㻥㻝㻕㻚㻌

㼇㻝㻣㼉㻌 Ώ㎶㔜ဢ㻘㻌 ຍ⸨⿱அ㻘㻌㞾㻌 ᛅ㻘㻌 ௒ᮧኴ㑻㻘㻌 ᴮᮏಇ἞䠖㻼㻵㼂䠄⢏Ꮚ⏬ീὶ᮰ ᐃἲ䠅䜢⏝䛔䛯㻯㻲㻰䝁䞊䝗᳨ド䛻䛴䛔䛶㻚㻌 Ᏹᐂ⯟✵◊✲㛤Ⓨᶵᵓ≉ู㈨ᩱ

㻔㻶㻭㼄㻭㻙㻿㻼㻙㻜㻠㻙㻝㻞㻕㻘㻌㻝㻣㻤㻌㻔㻞㻜㻜㻠㻕㻚㻌

㼇㻝㻤㼉㻌 ᴮᮏಇ἞㻘㻌 ௒ᮧኴ㑻㻘㻌 ᒣᮏ୍⮧䠖㻺㻭㻯㻭㻜㻜㻝㻞 ⩼➃ 䛾஘ὶᩘ್ゎᯒ㻚㻌 Ᏹᐂ⯟✵◊✲㛤Ⓨᶵᵓ≉ู㈨ᩱ㻔㻶㻭㼄㻭㻙㻿㻼㻙㻜㻠㻙㻝㻞㻕㻘㻌㻢㻟㻌㻔㻞㻜㻜㻠㻕㻚㻌

㼇㻝㻥㼉㻌㼅㼛㼟㼔㼕㼦㼍㼣㼍㻘㻌㻭㻚㻘㻌㻭㼎㼑㻘㻌㻴㻚㻘㻌㻲㼡㼖㼕㼣㼍㼞㼍㻘㻌㻴㻚㻘㻌㻹㼕㼦㼛㼎㼡㼏㼔㼕㻘㻌㼅㻚㻌㼍㼚㼐㻌㻹㼍㼠㼟㼡㼛㻘㻌㼅㻚㻦㻌㼀㼡㼞㼎㼡㼘㼑㼚㼠㻙㼢㼕㼟㼏㼛㼟㼕㼠㼥㻌㼙㼛㼐㼑㼘㼕㼚㼓㻌㼍㼜㼜㼘㼕㼏㼍㼎㼘㼑㻌㼠㼛㻌㼟㼣㼕㼞㼘㼕㼚㼓㻌㼒㼘㼛㼣㼟㻘㻌㼎㼍㼟㼑㼐㻌㼛㼚㻌㼍㻌㼏㼛㼙㼜㼛㼟㼕㼠㼑㻌㼠㼕㼙㼑㻌㼟㼏㼍㼘㼑㻌㼣㼕㼠㼔㻌㼙㼑㼍㼚㻙㼒㼘㼛㼣㻌㼔㼑㼘㼕㼏㼕㼠㼥㻌㼜㼍㼞㼠㼕㼍㼘㼘㼥㻌㼕㼚㼏㼛㼞㼜㼛㼞㼍㼠㼑㼐㻚㻌㻶㼛㼡㼞㼚㼍㼘㻌㼛㼒㻌㼀㼡㼞㼎㼡㼘㼑㼚㼏㼑㻚㻌㻝㻞㻘㻌㻺㻌㻡㻌㻔㻞㻜㻝㻝㻕㻚㻌

㻌

(35)

➨4ᅇEFD/CFD⼥ྜ䝽䞊䜽䝅䝵䝑䝥 2011ᖺ1᭶25᪥䚸⛅ⴥཎ䝁䞁䝧䞁䝅䝵䞁䝩䞊䝹

Ẽ㇟Ꮫ࡟࠾ࡅࡿ

4 4 ḟඖኚศἲࢹ࣮ࢱྠ໬ ḟඖኚศἲࢹ࣮ࢱྠ໬

4 4 ḟඖኚศἲࢹ ḟඖኚศἲࢹ ࢱྠ໬ ࢱྠ໬

Ẽ㇟◊✲ᡤணሗ◊✲㒊㟢ᮌ ⩏

㟢ᮌ ⩏

ㅮ₇ࡢෆᐜ

㸯㸬ࢹ࣮ࢱྠ໬࡜ᩘ್ኳẼணሗ 㸰㸬 4 ḟඖኚศἲ࡟ࡼࡿࢹ࣮ࢱྠ໬

ኚ

㸱㸬ኚศἲ࡜࣐࢝ࣝࣥࣇ࢕ࣝࢱ 㸲 ࢹ࣮ࢱྠ໬ࡢㄢ㢟

㸲㸬ࢹ ࢱྠ໬ࡢㄢ㢟

(36)

㸯㸬ࢹ࣮ࢱྠ໬࡜ᩘ್ኳẼணሗ 㸯㸬ࢹ࣮ࢱྠ໬࡜ᩘ್ኳẼணሗ

ࢹ࣮ࢱྠ໬

ࢹ ࢱྠ໬

ほ ࡜ᩘ್ࢩ࣑࣮ࣗࣞࢩࣙࣥࡢ⼥ྜᡭẁ ほ ࡜ᩘ್ࢩ࣑࣮ࣗࣞࢩࣙࣥࡢ⼥ྜᡭẁ

ቃ ⏺ ᮲ ほ ௳

吞呎

௳

ໟᣓⓗ䛺䠐ḟඖ䝕䝍䝉䝖

ᩘ್ 䝕呎

吖 ໟᣓⓗ䛺䠐ḟඖ䝕䞊䝍䝉䝑䝖

ᩘ್䝰䝕䝹

(37)

ࢹ࣮ࢱྠ໬ࡢ┠ⓗ

y ᑐ㇟

ࢹ ࢱྠ໬ࡢ┠ⓗ

Ń ᫬㛫Ⓨᒎࡍࡿ኱つᶍ࠿ࡘ」㞧࡞ࢩࢫࢸ࣒

㸦኱Ẽࠊᾏὒࠊ࣭࣭࣭㸧 y ┠ⓗ

Ń ໟᣓⓗ࡞4ḟඖࢹ࣮ࢱࢭࢵࢺࡢసᡂ

◊✲ࡢᇶ┙ⓗࢹ࣮ࢱ Ń ᩘ್ࣔࢹࣝࡢึᮇ್ࡢ᥎ᐃ

್ ್

ᩘ್ኳẼணሗࠊᩘ್ࢩ࣑࣮ࣗࣞࢩࣙࣥ

Ń ᩘ್ࣔࢹࣝࡢࣃ࣓࣮ࣛࢱࡢ᥎ᐃ

⤒㦂ⓗᐃᩘ ࢹ ㄗᕪ Ⓨ⏕ ྾཰※

⤒㦂ⓗᐃᩘࠊࣔࢹࣝㄗᕪࠊⓎ⏕࣭྾཰※

Ń ほ ࢩࢫࢸ࣒ࡢホ౯࣭タィ ࡞࡝

ࢹ࣮ࢱྠ໬ࡢṔྐ㸦㸯㸧 ࢹ࣮ࢱྠ໬ࡢṔྐ㸦㸯㸧 ࢹ ࢱྠ໬ࡢṔྐ㸦㸯㸧 ࢹ ࢱྠ໬ࡢṔྐ㸦㸯㸧

ࢹ࣮ࢱྠ໬ࡣᩘ್ኳẼணሗ (NWP) ࠿ࡽጞࡲࡗࡓ

y 1922 Richarson ࡀᡭィ⟬࡛ᩘ್ኳẼணሗࢆヨࡳࡓ ࡀኻᩋ㸦 145hPa/6h ࡢẼᅽኚ໬ࢆண 㸧

y 1950 Charneyࡽࡀ㟁Ꮚィ⟬ᶵENIAC࡟ࡼࡾᩘ್

ணሗᐇ㦂࡟ᡂຌ㸦1᪥ணሗ࡟1᪥せࡋࡓ㸧

ึᮇ್㸸୺ほ㸦ᡭ᭩ࡁ㸧ゎᯒ࠿ࡽᐈほ㸦ィ⟬ᶵ㸧ゎᯒ࡬

y 1954 ࢫ࢙࣮࢘ࢹࣥẼ㇟Ỉ⌮ᒁࡀᩘ್ணሗᴗົ㛤ጞ

y 1959 Ẽ㇟ᗇࡀᩘ್ணሗᴗົ㛤ጞ㸦ୡ⏺࡛ 3 ␒┠㸧 ᐈほゎᯒἲ㸸㛵ᩘ࠶࡚ࡣࡵἲࠊ㏲ḟಟṇἲࠊ᭱㐺ෆᤄἲ

㸦ᚋ஧⪅࡛ࡣࠊࣔࢹࣝணሗ್ࢆ➨୍᥎ᐃ್࡟᥇⏝㸧

(38)

Richardson

Richardson 䛾ᐇ㦂䛾᱁Ꮚ䛸ほ Ⅼ 䛾ᐇ㦂䛾᱁Ꮚ䛸ほ Ⅼ Richardson

Richardson 䛾ᐇ㦂䛾᱁Ꮚ䛸ほ Ⅼ 䛾ᐇ㦂䛾᱁Ꮚ䛸ほ Ⅼ

䠄

䠄 1910 1910 ᖺ ᖺ 5 5 ᭶ ᭶ 20 20 ᪥ ᪥ 07UTC 07UTC 䠅䠅

Richardson 䠄1922䠅

ࢹ࣮ࢱྠ໬ࡢṔྐ㸦㸰㸧 ࢹ࣮ࢱྠ໬ࡢṔྐ㸦㸰㸧

㠀ᐃ᫬ほ ࢹ࣮ࢱ࡬ࡢᑐᛂ

ࢹ ࢱྠ໬ࡢṔྐ㸦㸰㸧 ࢹ ࢱྠ໬ࡢṔྐ㸦㸰㸧

y 1969 Charneyࡽࡀࢹ࣮ࢱྠ໬ࢆᥦၐ

y 1979 ඲⌫኱Ẽ◊✲ィ⏬➨ 1 ᅇ඲⌫ᐇ㦂

э ඲⌫኱Ẽほ ࢩࢫࢸ࣒ࡢ☜❧

ࢹ࣮ࢱྠ໬ࡢⓎᒎ

y 1980ᖺ௦㹼 ௦ ኚศἲࡸ࣐࢝ࣝࣥࣇ࢕ࣝࢱࡢ◊✲ ኚศἲ ◊✲

y 1990 ᖺ௦㹼 ඲⌫኱Ẽ㛗ᮇ෌ゎᯒࡢᐇ᪋

௚ࡢศ㔝࡛ࡣࠊࡓ࡜࠼ࡤ

y 1980ᖺ௦㹼 8 ᖺ௦ ᾏὒࢹ࣮ࢱྠ໬ࡢ◊✲ ᾏὒࢹ ࢱྠ໬ࡢ◊✲

y 1990ᖺ௦ᚋ༙㹼 ᚤ㔞≀㉁㍺㏦ࢹ࣮ࢱྠ໬ࡢ◊✲

(39)

宇宙航空研究開発機構Japan Aerospace Exploration Agency

宇宙航空研究開発機構特別資料

JAXA Special Publication

第４回 EFD/CFD 融合ワークショップ

The 4th Workshop on Integration of EFD and CFD

開 催 日：平成 23 年 1 月 25 日

開催場所：秋葉原コンベンションホール

2012 年 1 月

January 2012

宇宙航空研究開発機構

Japan Aerospace Exploration Agency

目 次

1．開催趣意書 ……… 1

2．実行委員会 委員名簿 ……… 2

3 ．プログラム ……… 3 4．発表資料

1． Particle Tracking Accelerometry による PIV の粒子追従性問題からの解放

Release from tracer particle conditions using Particle Tracking Accelerometry ……… 5 村井祐一（北海道大学）

2． 流体科学と EFD/CFD 融合：乱流研究から見る平均場ダイナモ Fluid Science and EFD/CFD Integration:

Mean-Field Dynamo in Light of Turbulence Research ……… 23 吉澤 徴（JAXA、客員）

3． 気象学における 4 次元変分法データ同化

4-Dimensional Variational Data Assimilation in Meteorology ……… 35 露木 義（気象研究所予報研究部）

4． JAXA「次世代超音速機技術の研究開発」計画における EFD/CFD 連携と将来の課題

Complementary role and challenge of EFD and CFD on the National Experimental

Supersonic Transport Program by JAXA ……… 51 吉田憲司（JAXA）

5． 日本における EFD/CFD 融合－ JAXA からの提言－

Integration of EFD and CFD in Japan– A Proposal from JAXA – ……… 77 口石 茂、渡辺重哉、相曽秀昭、松尾裕一（JAXA）

5．パネルディスカッション「日本における EFD/CFD 融合の方向性」 ……… 97

The 4th Workshop on Integration of EFD and CFD

➨ᅇEFD/CFD⼥ྜ࣮࣡ࢡࢩࣙࢵࣉ

㛤ദ㊃ព᭩

ᚑ᮶ࠊᩘ್ὶయຊᏛ㸦Computational Fluid Dynamics, CFD㸧࡜ᐇ㦂ὶయຊᏛ㸦Experimental Fluid Dynamics, EFD 㸧࡜ࡣࠊ኱ᆺࡢ㢼Ὕ➼ࢆᣢࡘ◊✲ᶵᵓ࡛ࡣ࡝ࡕࡽ࠿࡜࠸࠼ࡤูಶࡢศ㔝

࡜ࡳ࡞ࡉࢀࠊࡑࢀࡒࢀேᮦࡶࣜࢯ࣮ࢫࡶ⊂❧࡟ࠊ⊂⮬ࡢ❧ሙ࡛⾜ࢃࢀ࡚ࡁࡲࡋࡓࠋࡋ࠿ࡋ࡞ࡀ

ࡽࠊ CFDࡣ≀⌮⌧㇟ࢆࣔࢹࣝ໬ࡋ࡚ᩘ್ⓗ࡟ゎࢆồࡵ࡚࠸ࡿ௨ୖࠊ⤖ᯝࡢጇᙜᛶࢆᐇ㦂ࢹ࣮ࢱ

࠺ࠋ

୍᪉ࠊ኱Ꮫࡢ◊✲ᐊ➼࡟࠾࠸࡚ࡣࠊᐇ㦂࡜ィ⟬ࡢ୧㠃࠿ࡽࡢ࢔ࣉ࣮ࣟࢳࡣ᪥ᖖⓗ࡞ᡭẁ࡛࠶

ࡾࠊᐇ㦂࡜ィ⟬ࡢ༢⣧࡞ẚ㍑࠿ࡽ⪃ᐹࢆࡋ࡚⾜ࡃ࡜࠸࠺ព࿡࡛ࡣEFD࡜CFDࡣᖖ࡟ᐦ᥋࡞㛵ಀ

࡟࠶ࡾࡲࡍࠋ

ࡇࡢࡼ࠺࡞⌧≧࡟㚷ࡳࠊ◊✲ᶵᵓ࡟࠾࠸࡚ࡣࠊ஧ඖㄽⓗ࡞⪃࠼᪉ࢆᨵࡵ཮᪉ࡢಙ㢗ᛶࢆྥୖ

ࡉࡏ┿࡟ᐇ⏝࡟౪ࡍࡿࢶ࣮ࣝ࡜࡞ࡍࡓࡵ࡟ࠊࡲࡓࠊ኱Ꮫ➼࡟࠾࠸࡚ࡣࠊ༢⣧ẚ㍑ࢆ㉸࠼ࡓࡼࡾ

῝࠸Ὕᐹ࣭▱ぢࢆᚓࡽࢀࡿࡼ࠺࡟ࡍࡿࡓࡵࠊEFD/CFDࡢ஫࠸ࡢၥ㢟Ⅼࡢ⿵᏶ࡸ᪂ࡓ࡞ᯟ⤌ࡳ

ࡢᵓ⠏࡟ࡼࡗ࡚ᚓࡽࢀࡿࢩࢼࢪ࣮ຠᯝࢆぢ࠸ࡔࡍࡇ࡜ࡀ㔜せ࡛ࡣ࡞࠸࡛ࡋࡻ࠺࠿ࠋ

ᮏ࣮࣡ࢡࢩࣙࢵࣉࡣࡇࡢࡼ࠺࡞EFD࡜CFDࡢ⼥ྜࢆࢸ࣮࣐࡜ࡋࠊὶయຊᏛ࡟ᦠࢃࡿ◊✲⪅ࡸ

ᢏ⾡⪅ࡀㅮ₇ࡸࢹ࢕ࢫ࢝ࢵࢩࣙࣥࢆ㏻ࡋ࡚ࡑࡢᚲせᛶ࣭㔜せᛶ࡟ࡘ࠸࡚ㄆ㆑ࢆ῝ࡵࠊ࠿ࡘ▱ぢ

ࢆᗈࡆࡿࡇ࡜ࢆ┠ⓗ࡜ࡋ࡚࠾ࡾࡲࡍࠋ

ࡇࡢ࣮࣡ࢡࢩࣙࢵࣉࡀࠊEFD/CFD⼥ྜ࡜࠸࠺ྂࡃ࡚᪂ࡋ࠸ࢸ࣮࣐࡟㛵ࡋ࡚᝟ሗ஺᥮ࢆࡍࡿ

ࡼ࠸ᶵ఍࡜࡞ࡾࠊ᪂ࡓ࡞Ⓨ᝿࡟ࡼࡿ◊✲㛤Ⓨάືࡀᅜෆእ࡛ࡼࡾ୍ᒙᒎ㛤ࡉࢀࡿࡼ࠺࡟࡞ࢀࡤࠊ

୺ദ⪅࡜ࡋ࡚ఱࡼࡾࡢ႐ࡧ࡛ࡍࠋࡲࡓࠊᮏ࣮࣡ࢡࢩࣙࢵࣉࡣ௒ᚋࡶ⥅⥆ࡉࡏ࡚࠸ࡃணᐃ࡛ࡍࡢ

࡛ࠊෆᐜ࡟ࡘ࠸࡚ࡈពぢࡸࡈᥦ᱌➼ࡈࡊ࠸ࡲࡋࡓࡽࡐࡦ࡜ࡶ࠾▱ࡽࡏ࠸ࡓࡔࡁࡓࡃࠊᐅࡋࡃ࠾

㢪࠸⏦ࡋୖࡆࡲࡍࠋ

ᖹᡂ 23 ᖺ 1 ᭶ 25 ᪥

➨ 4 ᅇ EFD/CFD ⼥ྜ࣮࣡ࢡࢩࣙࢵࣉᐇ⾜ጤဨ఍ ጤဨ㛗 Ᏹᐂ⯟✵◊✲㛤Ⓨᶵᵓ ◊✲㛤Ⓨᮏ㒊 ᯇᑿ ⿱୍

ᮾ໭኱Ꮫὶయ⛉Ꮫ◊✲ᡤ ኱ᯘⱱ

➨ 4 ᅇ EFD/CFD ⼥ྜ࣮࣡ࢡࢩࣙࢵࣉ ᐇ⾜ጤဨ఍ ጤဨྡ⡙

ጤဨ㛗 ᯇᑿ ⿱୍ JAXA ◊✲㛤Ⓨᮏ㒊 ᩘ್ゎᯒࢢ࣮ࣝࣉ

኱ᯘ ⱱ ᮾ໭኱Ꮫ ὶయ⛉Ꮫ◊✲ᡤ 㝃ᒓὶయ⼥ྜ◊✲ࢭࣥࢱ࣮

ጤဨ ὸ஭ ᆂ௓ ᮾ໭኱Ꮫ኱Ꮫ㝔 ᕤᏛ◊✲⛉ ⯟✵ᏱᐂᕤᏛᑓᨷ ఀ⸨ ㈗அ ࠾ⲔࡢỈዪᏊ኱Ꮫ኱Ꮫ㝔 ⌮Ꮫ㒊᝟ሗ⛉Ꮫ⛉

ఀ⸨ ೺ JAXA ◊✲㛤Ⓨᮏ㒊 㢼Ὕᢏ⾡㛤Ⓨࢭࣥࢱ࣮

㔠ᓮ 㞞༤ 㤳㒔኱Ꮫᮾி ࢩࢫࢸ࣒ࢹࢨ࢖ࣥᏛ㒊 ⯟✵Ᏹᐂࢩࢫࢸ࣒ᕤᏛࢥ࣮ࢫ ᕝῧ ༤ග 㫽ྲྀ኱Ꮫ ኱Ꮫ㝔ᕤᏛ◊✲⛉ ᶵᲔᏱᐂᕤᏛᑓᨷ

బ᐀ ❶ᘯ ྡྂᒇ኱Ꮫ኱Ꮫ㝔 ᕤᏛ◊✲⛉ ⯟✵ᏱᐂᕤᏛᑓᨷ ⃝⏣ ᜨ௓ ᮾ໭኱Ꮫ኱Ꮫ㝔 ᕤᏛ◊✲⛉ ⯟✵ᏱᐂᕤᏛᑓᨷ

㕥ᮌ ᏹ஧㑻 ᮾி኱Ꮫ኱Ꮫ㝔 ᪂㡿ᇦ๰ᡂ⛉Ꮫ◊✲⛉

㕥ᮌ ಇஅ JAXA ◊✲㛤Ⓨᮏ㒊 ᮍ㋃ᢏ⾡◊✲ࢭࣥࢱ࣮

ᆤ಴ ㄔ ໭ᾏ㐨኱ᏛᕤᏛ㒊 ᶵᲔ▱⬟ᕤᏛ⛉

ᮧୖ ᱇୍ JAXA ◊✲㛤Ⓨᮏ㒊 ᩘ್ゎᯒࢢ࣮ࣝࣉ

ᒣᮏ ୍⮧ JAXA ⯟✵ࣉࣟࢢ࣒ࣛࢢ࣮ࣝࣉ ᅜ⏘᪑ᐈᶵࢳ࣮࣒

ྜྷ⏣ ᠇ྖ JAXA ⯟✵ࣉࣟࢢ࣒ࣛࢢ࣮ࣝࣉ ㉸㡢㏿ᶵࢳ࣮࣒

Ώ㎶ 㔜ဢ JAXA ◊✲㛤Ⓨᮏ㒊 ὶయࢢ࣮ࣝࣉ

஦ົᒁ ┦᭮ ⚽᫛ JAXA ◊✲㛤Ⓨᮏ㒊 ᩘ್ゎᯒࢢ࣮ࣝࣉ

ཱྀ▼ ⱱ JAXA ◊✲㛤Ⓨᮏ㒊 ὶయࢢ࣮ࣝࣉ

ಖỤ ࠿࡞Ꮚ JAXA ◊✲㛤Ⓨᮏ㒊 ὶయࢢ࣮ࣝࣉ

➨㻠ᅇ㻱㻲㻰㻛㻯㻲㻰⼥ྜ䝽䞊䜽䝅䝵䝑䝥㻌 㼀㼔㼑㻌㻠㼠㼔㻌㼃㼛㼞㼗㼟㼔㼛㼜㻌㼛㼚㻌㻵㼚㼠㼑㼓㼞㼍㼠㼕㼛㼚㻌㼛㼒㻌㻱㻲㻰㻌㼍㼚㼐㻌㻯㻲㻰㻌 㻌

⛅ⴥཎ䝁䞁䝧䞁䝅䝵䞁䝩䞊䝹㻌 㻡㻮 ఍㆟ᐊ㻌 㻭㻷㻵㻴㻭㻮㻭㻾㻭㻌㻯㼛㼚㼢㼑㼚㼠㼕㼛㼚㻌㻴㼍㼘㼘㻦㻌㻾㼛㼛㼙㻌㻡㻮㻌

㻌

㻼㼞㼛㼓㼞㼍㼙㻌

㻶㼍㼚㻚㻌㻞㻡㻌㻔㼀㼡㼑㻚㻕㻘㻌㻞㻜㻝㻝㻌

㻝㻜㻦㻜㻜㻙㻝㻜㻦㻝㻜㻌 ኱ᯘ㻌 ⱱ㻌 㻔ᮾ໭኱ὶయ◊㻕㻌

㻿㼔㼕㼓㼑㼞㼡㻌㻻㼎㼍㼥㼍㼟㼔㼕㻌㻔㼀㼛㼔㼛㼗㼡㻌㼁㼚㼕㼢㻚㻕㻌 㻻㼜㼑㼚㼕㼚㼓㻌㻭㼐㼐㼞㼑㼟㼟㻌

㻿㼑㼟㼟㼕㼛㼚㻌㻝㻌㻨㻵㼚㼢㼕㼠㼑㼐㻌㻸㼑㼏㼠㼡㼞㼑㻏㻝㻪㻌 ྖ఍㻦㻌 ᕝῧ㻌 ༤ග㻌 㻔㫽ྲྀ኱㻕

㻯㼔㼍㼕㼞㼜㼑㼞㼟㼛㼚㻦㻌 㻴㼕㼞㼛㼙㼕㼠㼟㼡㻌 㻷㼍㼣㼍㼦㼛㼑㻌 㻔㼀㼛㼠㼠㼛㼞㼕㻌 㼁㼚㼕㼢㻚㻕

㻝㻜㻦㻝㻜㻙㻝㻜㻦㻡㻡㻌

㼅㼡㼕㼏㼔㼕㻌㻹㼡㼞㼍㼕㻌㻔㻴㼛㼗㼗㼍㼕㼐㼛㻌㼁㼚㼕㼢㻚㻕㻌

開催日：平成 23 年 1 月 25 日

目　次

2．実行委員会　委員名簿 ……… 2

2．流体科学と EFD/CFD 融合：乱流研究から見る平均場ダイナモ Fluid Science and EFD/CFD Integration:

　Mean-Field Dynamo in Light of Turbulence Research ……… 23 吉澤　徴（JAXA、客員）

3．気象学における 4 次元変分法データ同化

4-Dimensional Variational Data Assimilation in Meteorology ……… 35 露木　義（気象研究所予報研究部）

　Supersonic Transport Program by JAXA ……… 51 吉田憲司（JAXA）

5．日本における EFD/CFD 融合－ JAXA からの提言－

Integration of EFD and CFD in Japan– A Proposal from JAXA – ……… 77 口石　茂、渡辺重哉、相曽秀昭、松尾裕一（JAXA）

ఀ⸨ ೺ JAXA ◊✲㛤Ⓨᮏ㒊㢼Ὕᢏ⾡㛤Ⓨࢭࣥࢱ࣮

Ώ㎶㔜ဢ JAXA ◊✲㛤Ⓨᮏ㒊 ὶయࢢ࣮ࣝࣉ

➨㻠ᅇ㻱㻲㻰㻛㻯㻲㻰⼥ྜ䝽䞊䜽䝅䝵䝑䝥㻌㼀㼔㼑㻌㻠㼠㼔㻌㼃㼛㼞㼗㼟㼔㼛㼜㻌㼛㼚㻌㻵㼚㼠㼑㼓㼞㼍㼠㼕㼛㼚㻌㼛㼒㻌㻱㻲㻰㻌㼍㼚㼐㻌㻯㻲㻰㻌㻌

⛅ⴥཎ䝁䞁䝧䞁䝅䝵䞁䝩䞊䝹㻌㻡㻮 ఍㆟ᐊ㻌㻭㻷㻵㻴㻭㻮㻭㻾㻭㻌㻯㼛㼚㼢㼑㼚㼠㼕㼛㼚㻌㻴㼍㼘㼘㻦㻌㻾㼛㼛㼙㻌㻡㻮㻌

㻝㻜㻦㻜㻜㻙㻝㻜㻦㻝㻜㻌 ኱ᯘ㻌 ⱱ㻌㻔ᮾ໭኱ὶయ◊㻕㻌

㻿㼔㼕㼓㼑㼞㼡㻌㻻㼎㼍㼥㼍㼟㼔㼕㻌㻔㼀㼛㼔㼛㼗㼡㻌㼁㼚㼕㼢㻚㻕㻌㻻㼜㼑㼚㼕㼚㼓㻌㻭㼐㼐㼞㼑㼟㼟㻌

㻿㼑㼟㼟㼕㼛㼚㻌㻝㻌㻨㻵㼚㼢㼕㼠㼑㼐㻌㻸㼑㼏㼠㼡㼞㼑㻏㻝㻪㻌 ྖ఍㻦㻌 ᕝῧ㻌 ༤ග㻌㻔㫽ྲྀ኱㻕

㻯㼔㼍㼕㼞㼜㼑㼞㼟㼛㼚㻦㻌㻴㼕㼞㼛㼙㼕㼠㼟㼡㻌㻷㼍㼣㼍㼦㼛㼑㻌㻔㼀㼛㼠㼠㼛㼞㼕㻌㼁㼚㼕㼢㻚㻕

ὶయ⛉Ꮫ䛸㻱㻲㻰㻛㻯㻲㻰⼥ྜ䠖஘ὶ◊✲䛛䜙ぢ䜛ᖹᆒሙ䝎䜲䝘䝰㻌

㻲㼘㼡㼕㼐㻌㻿㼏㼕㼑㼚㼏㼑㻌㼍㼚㼐㻌㻱㻲㻰㻛㻯㻲㻰㻌㻵㼚㼠㼑㼓㼞㼍㼠㼕㼛㼚㻦㻌㻹㼑㼍㼚㻙㻲㼕㼑㼘㼐㻌㻰㼥㼚㼍㼙㼛㻌㼕㼚㻌㻸㼕㼓㼔㼠㻌㼛㼒㻌㼀㼡㼞㼎㼡㼘㼑㼚㼏㼑㻌㻾㼑㼟㼑㼍㼞㼏㼔㻌

㻿㼑㼟㼟㼕㼛㼚㻌㻞㻌㻨㻵㼚㼢㼕㼠㼑㼐㻌㻸㼑㼏㼠㼡㼞㼑㻏㻞㻪㻌 ྖ఍㻦㻌 బ᐀㻌 ❶ᘯ㻌㻔ྡ኱㻕

㻯㼔㼍㼕㼞㼜㼑㼞㼟㼛㼚㻦㻌㻭㼗㼕㼔㼕㼞㼛㻌㻿㼍㼟㼛㼔㻌㻔㻺㼍㼓㼛㼥㼍㻌㼁㼚㼕㼢㻚㻕

㼀㼍㼐㼍㼟㼔㼕㻌㼀㼟㼡㼥㼡㼗㼕㻌㻔㻹㼑㼠㼑㼛㼞㼛㼘㼛㼓㼕㼏㼍㼘㻌㻾㼑㼟㼑㼍㼞㼏㼔㻌㻵㼚㼟㼠㼕㼠㼡㼠㼑㻕㻌

Ẽ㇟Ꮫ䛻䛚䛡䜛㻠 ḟඖኚศἲ䝕䞊䝍ྠ໬㻌

㻝㻟㻦㻠㻡㻙㻝㻠㻦㻟㻜㻌 ྜྷ⏣㻌 ᠇ྖ㻌㻔㻶㻭㼄㻭㻕㻌㻷㼑㼚㼖㼕㻌㼅㼛㼟㼔㼕㼐㼍㻌㻔㻶㻭㼄㻭㻕㻌

㻶㻭㼄㻭䛂ḟୡ௦㉸㡢㏿ᶵᢏ⾡䛾◊✲㛤Ⓨ䛃ィ⏬䛻䛚䛡䜛㻱㻲㻰㻛㻯㻲㻰㐃ᦠ䛸㻌 ᑗ᮶䛾ㄢ㢟㻌

㻿㼑㼟㼟㼕㼛㼚㻌㻟㻌㻨㻶㻭㼄㻭㻌㻷㼑㼥㼚㼛㼠㼑㻌㻿㼜㼑㼑㼏㼔㻪㻌 ྖ఍㻦㻌 ὸ஭㻌 ᆂ௓㻌㻔ᮾ໭኱㻕

㻯㼔㼍㼕㼞㼜㼑㼞㼟㼛㼚㻦㻌㻷㼑㼕㼟㼡㼗㼑㻌㻭㼟㼍㼕㻌㻔㼀㼛㼔㼛㼗㼡㻌㼁㼚㼕㼢㻚㻕

㻝㻠㻦㻠㻜㻙㻝㻡㻦㻞㻜㻌 ཱྀ▼㻌 ⱱ㻌㻔㻶㻭㼄㻭㻕㻌㻿㼔㼕㼓㼑㼞㼡㻌㻷㼡㼏㼔㼕㻙㻵㼟㼔㼕㻌㻔㻶㻭㼄㻭㻕㻌

᪥ᮏ䛻䛚䛡䜛㻱㻲㻰㻛㻯㻲㻰⼥ྜ㻌㻙㻶㻭㼄㻭䛛䜙䛾ᥦゝ㻙㻌

㻿㼑㼟㼟㼕㼛㼚㻌㻡㻌㻨㻼㼍㼚㼑㼘㻌㻰㼕㼟㼏㼡㼟㼟㼕㼛㼚㼟㻪㻌䝁䞊䝕䜱䝛䞊䝍㻦㻌 Ώ㎶㻌㔜ဢ㻌㻔㻶㻭㼄㻭㻕

㻯㼛㼛㼞㼐㼕㼚㼍㼠㼛㼞㻦㻌㻿㼔㼕㼓㼑㼥㼍㻌㼃㼍㼠㼍㼚㼍㼎㼑㻌㻔㻶㻭㼄㻭㻕

᪥ᮏ䛻䛚䛡䜛㻱㻲㻰㻛㻯㻲㻰⼥ྜ䛾᪉ྥᛶ㻌

㻰㼕㼞㼑㼏㼠㼕㼛㼚㻌㼠㼛㼣㼍㼞㼐㻌㻵㼚㼠㼑㼓㼞㼍㼠㼕㼛㼚㻌㼛㼒㻌㻱㻲㻰㻌㼍㼚㼐㻌㻯㻲㻰㻌㼕㼚㻌㻶㼍㼜㼍㼚㻌䝟䝛䝸䝇䝖㻦㻌

኱ᯘ㻌 ⱱ㻌㻔ᮾ໭኱ὶయ◊㻕㻌

⃝⏣㻌 ᜨ௓㻌㻔ᮾ໭኱㻕㻌

୰ᮧ㻌 ࿴ᖾ㻌䠄᫂἞኱䠅㻌 Ჴᶫ㻌 ⨾἞㻌㻔㻹㻴㻵㻕㻌 ᯇᑿ㻌 ⿱୍㻌㻔㻶㻭㼄㻭㻕㻌

ఀ⸨㻌 ೺㻌䠄㻶㻭㼄㻭䠅㻌

㼅㼡㼕㼏㼔㼕㻌㻹㼍㼠㼟㼡㼛㻌㻔㻶㻭㼄㻭㻕㻌㻯㼘㼛㼟㼕㼚㼓㻌㻭㼐㼐㼞㼑㼟㼟㻌

䖃୕ḟඖィ䜈䛾ᒎ㛤 2000 ௨㝆