㩷వ┵⎇ⓥᣉ⸳౒↪䉟䊉䊔䊷䉲䊢䊮ഃ಴੐ᬺ䇼↥ᬺᚢ⇛೑↪䇽䇺䉂䉖䈭䈱䉴䊌䉮䊮䇻㪫㪪㪬㪙㪘㪤㪜䈮䉋䉎䊕䉺䉴䉬䊷䊦䈻䈱㘧⠍೑↪ႎ๔ᦠ䇭ᐔᚑ䋱䋹ᐕᐲᣂⷙ೑↪᜛ᄢណᛯ⺖㗴㩷㫀㪇㪎㫅㪼ᷙ⋧ᵹ䉲䊚䊠䊧䊷䉲䊢䊮䉮䊷䊄䈱ਗ೉᜛ᒛᕈ⢻䈱⹏ଔ㪪㪺㪸㫃㪸㪹㫀㫃㫀㫋㫐㩷㪫㪼㫊㫋㫊㩷㪽㫆㫉㩷㪤㫌㫃㫋㫀㪄㪧㪿㪸㫊㪼㩷㪪㫀㫄㫌㫃㪸㫋㫀㫆㫅㩷㪚㫆㪻㪼᪀ේ⻉ఱ㪤㫆㫉㫆㪼㩷㪢㫌㫎㪸㪿㪸㫉㪸ᩣᑼળ␠⸘▚ᵹ૕ജቇ⎇ⓥᚲᷙ⋧ᵹ⸃ᨆ䉫䊦䊷䊒㪤㫌㫃㫋㫀㪄㪧㪿㪸㫊㪼㩷㪪㫀㫄㫌㫃㪸㫋㫀㫆㫅㩷㪞㫉㫆㫌㫇㪃㩷㪠㫅㫊㫋㫀㫋㫌㫋㪼㩷㫆㪽㩷㪚㫆㫄㫇㫌㫋㪸㫋㫀㫆㫅㪸㫃㩷㪝㫃㫌㫀㪻㩷㪛㫐㫅㪸㫄㫀㪺㫊㪿㫋㫋㫇㪑㪆㪆㫎㫎㫎㪅㫀㪺㪽㪻㪅㪺㫆㪅㫁㫇㪆㩷㩷ή㊀ജ႐䈮䈍䈔䉎䊙䊤䊮䉯䊆ኻᵹ႐䈱ⶄᢙ᳇ᵃ᜼േ䉕⸃ᨆ䈜䉎ᷙ⋧ᵹ䉲䊚䊠䊧䊷䉲䊢䊮䉮䊷䊄䈮䈧䈇䈩䇮ᢙ⊖એ਄䈱ਗ೉⸘▚䈮䉅ല₸⦟䈒⸘▚น⢻䈫䈭䉎ਗ೉઀᭽䈮᜛ᒛ䈚䈢䈫䈖䉐䇮㪈㪌㪇ਗ೉⒟ᐲ䉁䈪ਗ೉ᢙ䈮䈾䈿Ყ଀䈚䈩⸘▚ㅦᐲ䈏ะ਄䈜䉎䈖䈫䈏⏕⹺䈘䉏䈢䇯䈘䉌䈮䇮ᧄਗ೉઀᭽䉕↪䈇䈩๟ᣇะ㪈㪆㪋䉶䉪䉺䊷䈱౞╴ᒻ⁁ኈེ䈮↢䈛䉎䊙䊤䊮䉯䊆ኻᵹ႐䈮䋲୘䈱᳇ᵃ䉕⸳⟎䈚䈢႐ว䈱᳇ᵃ᜼േ⸘▚䉕㪈㪌㪇ਗ೉䈪㪌㪇㪇ᤨ㑆ⴕ䈦䈢䈫䈖䉐䇮䋲୘䈱᳇ᵃ㑆䈮ᢺജ䈏૞↪䈜䉎䈖䈫䈏䉒䈎䈦䈢䇯䈖䉏䉌䈱⚿ᨐ䈎䉌䇮੹ᓟ⸘▚䉕⛮⛯䈜䉎䈖䈫䈮䉋䉍䇮ή㊀ജ႐䈮䈍䈔䉎᳇ᵃ᜼േ䈏Ყセ⊛⍴䈇ᤨ㑆䈪⸃ᨆ⹏ଔน⢻䈫䈭䉎⷗ㅢ䈚䈏ᓧ䉌䉏䈢䇯㩷 In order to evaluate the bubble behavior in microgravity condition, we advanced the present
parallel calculation method in the multi-phase simulation code. The advanced parallel method
accelerated the calculation up to approximately 150 CPUs. The two bubble behaviors with thethermocapillary flow in an open cylindrical container were calculated applying 150 CPUs for
500 hours. The repulsive forces were produced by the bubble motions and the magnitudes
became larger as the bubble approached to the hot region. The bubble behaviors can beevaluated by this advanced method if this calculation will be continued in the near future.
Multi-Phase Flow, MPI, Microgravity, Thermocapillary flow, Bubble䊶 ⢛᥊䈫⋡⊛㩷㩷ᧄ䊒䊨䉳䉢䉪䊃䈲䇮 䉳䊷䉷䊦䉣䊮䉳䊮╬䈱Άᢱྃ಴․ᕈ䉇ή㊀ജ႐䈮䈍䈔䉎ᣂ᧚ᢱഃ಴䈱ᅹ䈕䈫䈭䉎᳇ᵃᷙ౉໧㗴䈱䉋䈉䈮䇮 ኒᐲᏅ䈏ᄢ䈐䈭ᷙ⋧ᵹ䈱ᵹേ․ᕈ䈏♖ᐲ⦟䈒䉲䊚䊠䊧䊷䉲䊢䊮䈪䈐䉎⸃ᨆᚻᴺ䈮䈧䈇䈩䇮 ᣢሽ䈱䉲䊚䊠䊧䊷䉲䊢䊮䉮䊷䊄䉕ᢙ⊖એ਄䈱ਗ೉⸘▚઀᭽䈮᜛ᒛ䈚䈢႐ว䈱ᕈ⢻⹏ଔ䉕ⴕ䈉䈖䈫䉕⋡⊛䈫䈚䈩䈇䉎䇯 ਄⸥䈱䉲䊚䊠䊧䊷䉲䊢䊮䉮䊷䊄䈲䇮 䈖䉏䉁䈪䈮ታ❣䈱䈅䉎 㪉㪇 ਗ೉⸘▚䈪䈲⸘▚ᤨ㑆䈏㐳ᤨ㑆䈫䈭䉎䈢䉄䇮 ᢙ⊖એ਄䈱ਗ೉⸘▚䉕ⴕ䈉䈖䈫䈏ᔅⷐ䈪䈅䈦䈢䇯 䈚䈎䈚䇮 䈠䉏એ਄䈱ਗ೉⸘▚䉕ⴕ䈦䈢႐ว䇮 ⸘▚ല₸䈏ะ਄䈜䉎䈎䈬䈉䈎䈲ਇ᣿⏕䈪䈅䈦䈢䇯㩷㩷㩷એ਄䈎䉌䇮 ᧄ䊒䊨䉳䉢䉪䊃䈱ᦨೋ䈱䉴䊁䉾䊒䈫䈚䈩䇮ή㊀ജ႐䈮䈍䈇䈩䊙䊤䊮䉯䊆ኻᵹ႐䈮ⓨ᳇᳇ᵃ䈏ⶄᢙ୘ᷙ౉䈚䈢႐ว䈱᳇ᵃ᜼േ䉕⹏ଔ䈜䉎⸃ᨆᚻᴺ䉕 㪉㪋㪇 ਗ೉⒟ᐲ䉁䈪Ყセ⊛ല₸⦟䈒⸘▚น⢻䈫䈭䉎䉋䈉઀᭽᜛ᒛ䈚䇮 ਗ೉⸘▚ല₸䉕⹏ଔ䈚䈢䇯 䈘䉌䈮᜛ᒛ䈚䈢ਗ೉઀᭽䈮䉋䉍䇮 ਄⸥䈱᳇ᵃ᜼േ⸃ᨆ䉕ታᣉ䈚䇮 ᧄ䉲䊚䊠䊧䊷䉲䊢䊮䉮䊷䊄䈱ਗ೉઀᭽䈱ㆡᔕᕈ䉕⏕⹺䈚䈢䇯䊶 ᭎ⷐ㩷㩷ᧄ⸃ᨆ䈪䈲䇮 ή㊀ജ႐䈮䈍䈇䈩਄㕙䈏㐿䈇䈢౞╴ኈེ䈮䊐䊧䉥䊮䈏లႯ䈘䉏ਛᔃㇱ䈮䊍䊷䉺䈏⸳⟎䈘䉏䈢૕♽䉕ᛒ䈉䇯 䈖䈱૕♽䈪䈲਄㕙䈮↢䈛䈢᷷ᐲಽᏓ䈮䉋䉍⴫㕙ᒛജಽᏓ䈏↢䈛䇮 䈖䉏䈮⿠࿃䈚䈩ኻᵹ 䋨䊙䊤䊮䉯䊆ኻᵹ䋩 䈏↢䈛䉎䇯 䈖䈖䈪䈲࿑䋱䈮␜䈜䉋䈉䈮䇮਄⸥౞╴ᒻ⁁䈱 㪈㪆㪋 㗔ၞ䉕⸃ᨆ૕♽䈫䈚䈢䇯๟ᣇะႺ⇇䈱ㅦ ᐲ෸䈶᷷ ᐲ䈲๟ᦼ᧦ઙ䉕↪䈇䇮ᣢ䈮⸘▚䈚䈩䈅䈦䈢ቯᏱ⁁ᘒ䈱䊙䊤䊮䉯䊆ኻᵹ႐䈮䈍䈇䈩䇮 ห࿑䈮␜䈚䈢૏⟎䈮ⓨ᳇䈱᳇ᵃ䉕䋲୘಴⃻䈘䈞䉎䈖䈫䈮䉋䉍⸘▚䉕ⴕ䈦䈢䇯 䈜䈭䉒䈤䇮 䋲୘䈱᳇ᵃ䈲⸘▚㐿ᆎ೨䈮䈲䇮 ࿑䋲䈮␜䈚䈢䉋䈉䈮䇮 ๟ᣇะ䊶 ⚿ᨐ䈍䉋䈶⠨ኤ㩷㩷㩷࿑䋳䈮᜛ᒛ೨ᓟ䈱ಽഀ઀᭽䈪䈱 㪈㪇㪇 䉴䊁䉾䊒⸘▚䈮ⷐ䈚䈢⸘▚ᤨ㑆䉕␜䈜䇯 ᜛ᒛ೨䈪䈲䇮 ਗ೉ᢙ䈏 㪉㪌 ෸䈶 㪌㪇 䈪䈲⸘▚ᤨ㑆䈏ห⒟ᐲ䈪䈅䉍䇮 䈠䉏એ਄䈱ਗ೉ᢙ䈪䈲ടㅦ₸䈏ᷫዋ䈚䇮 ⸘▚ᤨ㑆䈏ᄙ䈒䈭䉎䈫䈇䈉⚿ᨐ䈫䈭䈦䈢䇯 䈖䉏䈮ኻ䈚䇮 ᜛ᒛᓟ䈱઀᭽䈪䈲ਗ೉ᢙ䈏 㪈㪌㪇 ⒟ᐲ䉁䈪ਗ೉ᢙ䈮䈾䈿Ყ଀䈚䈩ടㅦ₸䈏Ⴧᄢ䈜䉎䉅䈱䈱䇮 䈠䉏એ਄䈪䈲ടㅦ₸䈏ᷫዋ䈜䉎⚿ᨐ䈏ᓧ䉌䉏䈢䇯 䈖䉏䉌䈱⚿ᨐ䈎䉌䇮 ᧄ䊒䊨䉳䉢䉪䊃䈮䉋䉍᜛ᒛ䉕ⴕ䈦䈢ಽഀ઀᭽䈱᦭ലᕈ䈲 㪈㪌㪇 ਗ೉⒟ᐲ䉁䈪䈲᦭ല䈪䈅䉎䈖䈫䈏⏕⹺䈪䈐䈢䇯ી᜛ᒛᓟ⒊䈱๟ᦼႺ⇇᧦ઙ䉕⠨ᘦ䈜䉏䈳㕖ኻ⒓䈱૏⟎䈮ሽ࿷䈜䉎䈖䈫䈫䈚䈢䇯㩷㩷ᓥ᧪䈱ਗ೉⸘▚઀᭽䈲䇮 ਄⸥౞╴ኈེ䈱ඨ ᓘᣇะ䈱䉂㗔ၞಽഀ䉕ⴕ䈇䇮 㪤㪧㪠 ᚻᴺ䈮䉋䉍䈠䉏䈡䉏䈱㗔ၞ䈮䈧䈇䈩ਗ೉⸘▚䉕ⴕ䈉䈫䈇䈉઀᭽䈪䈅䈦䈢䇯 䈖䈱䉋䈉䈭㗔ၞಽഀᣇᴺ䈪䈲䇮 㗔ၞಽഀᢙ䈮㒢⇇䈏䈅䉎䈱䉂䈭䉌䈝䇮 䊜䉾䉲䊠ᢙ䈏ᄙ䈒䈭䉎䈫㗔ၞ㑆䈱䊂䊷䉺ㅢା㊂䈏ᄙ䈒䈭䉍䇮 ⸘▚ല₸䈏䈎䈋䈦䈩ᖡൻ䈜䉎น⢻ᕈ䈏⠨䈋䉌䉏䉎䇯 䈠䈖䈪䇮 ᧄ䊒䊨䉳䉢䉪䊃䈪䈲๟ᣇะ෸䈶㜞䈘ᣇะ䈮䉅㗔ၞ䉕ಽഀน⢻䈫䈭䉎઀᭽䈮᜛ᒛ䈚䈢䇯㩷㩷㩷ᦨೋ䈮䇮 ᜛ᒛ೨䈱ᚻᴺ䈮䉋䉍 㪉㪌㪃㩷㪌㪇㪃㩷㪎㪌㪃㩷䈍䉋䈶㪈㪌㪇 ਗ೉䈱⸘▚䉕䈠䉏䈡䉏 㪈㪇㪇 䉴䊁䉾䊒ⴕ䈦䈢䇯 ᰴ䈮᜛ᒛ䈚䈢ᚻ ᴺ䈮 䉋䉍䇮 㪌㪇㪃㩷㪈㪇㪇㪃㩷㪈㪌㪇㪃㩷䈍䉋䈶 㪉㪋㪇ਗ೉䈱⸘▚䉕䈠䉏䈡䉏ห䉴䊁䉾䊒ⴕ䈇䇮 ⸘▚ᤨ㑆䉕Ყセ䈚ਗ೉⸘▚ല₸䉕⹏ଔ䈜䉎䈖䈫䈫䈚䈢䇯 ᰴ䈮᜛ᒛᓟ䈱ಽഀ઀᭽䈮䉋䉍䇮 㪌㪇㪇 ᤨ㑆䈱᳇ᵃ᜼േ⸘▚䉕ⴕ䈦䈢䇯

Bubbles;
r=z=0.7, Radius=0.06

᜛ᒛ೨


⮺⹪&38⥙

1.0

Heater surface࿑䋳䇭ਗ೉ᢙ䈮ኻ䈜䉎ടㅦ₸

6.8e-4-6.8e-40.9
࿑䋱㩷䊙䊤䊮䉯䊆ኻᵹ႐䈱᳇ᵃ૏⟎

6.8e-4-6.8e-430㫦 60㫦࿑䋲㩷᳇ᵃೋᦼ૏⟎ 䋨๟ᣇะ䋩࿑䋴䇭㪌㪇㪇 ᤨ㑆ᓟ䈱๟ᣇะㅦᐲ䈫᳇ᵃ૏⟎㩷㩷㩷࿑䋴䈮 㪈㪌㪇 ਗ೉䈪ⴕ䈦䈢᳇ᵃ᜼േ⸘▚⚿ᨐ䉕␜䈜䇯 ࿑䈮䈲䇮 ⸘▚㐿ᆎᓟ 㪌㪇㪇 ᤨ㑆䈮䈍䈔䉎䋲୘䈱᳇ᵃ૏⟎䇮 ෸䈶๟ᣇะ䈱ᵹㅦᚑಽ䉕␜䈚䈢䇯 䈭䈍ᧄਗ೉ᢙ䉕ណ↪䈚䈢ℂ↱䈲䇮 ᦨㅦ䈪⸘▚䉕ⴕ䈉ᔅⷐ䈏䈅䈦䈢䈢䉄䇮 ෸䈶䉳䊢䊑䈱ᷙ㔀⁁ᴫ䈮䉋䉍 㪉㪋㪇ਗ೉ 䋨㪈㪌 䊉䊷䊄䋩 䉁䈪૶↪䈪䈐䈭䈎䈦䈢䈢䉄䈪䈅䉎䇯㩷㩷㩷㪌㪇㪇 ᤨ㑆ᓟ䈱⚿ᨐ䈎䉌䇮 䊙䊤䊮䉯䊆ኻᵹ䈫䈫䉅䈮䊍䊷䉺⴫㕙ᣇะ䈮⒖ⴕ䈜䉎䈮䈚䈢䈏䈦䈩䋲୘䈱᳇ᵃ㑆䈱๟ᣇะㅦᐲ䈏ᄖ஥䉋䉍䉅ᄢ䈐䈒䈭䉍䇮 䋲୘䈱᳇ᵃ㑆䈮ᢺജ䈏௛䈇䈩䈇䉎䈖䈫䈏䉒䈎䈦䈢䇯 䈚䈢䈏䈦䈩䇮䈘䉌䈮ᧄ⸘▚䉕⛮⛯䈜䉎䈖䈫䈮䉋䉍ᢺജ䈏Ⴧട䈜䉎䈖䈫䈏੍ᗐ䈘䉏䇮 ᦨ⚳⊛䈮䈲䋲୘䈱᳇ᵃ㑆䈱〒㔌䈏ᄢ䈐䈒䈭䉍๟ᣇะ䈮ኻ⒓䈭૏⟎䈮ะ䈎䈦䈩䇮 䈠䉏䈡䉏䋲୘䈱᳇ᵃ䈏⒖േ䈜䉎䈫⠨䈋䉌䉏䉎䇯䊶 䉁䈫䉄䇮 ੹ᓟ䈱⺖㗴㩷㩷ᧄ䊒䊨䉳䉢䉪䊃䈮䉋䉍䇮 ᷙ⋧ᵹ䉲䊚䊠䊧䊷䉲䊢䊮䉮䊷䊄䈱᳇ᵃ᜼േ⸃ᨆᚻᴺ䈮ኻ䈜䉎ਗ೉⸘▚઀᭽䉕䇮㩷㩷Ყセ⊛ല₸⦟䈇઀᭽䈮᜛ᒛ䈜䉎䈖䈫䈏น⢻䈫䈭䉍䇮㪈㪌㪇 ⒟ᐲ䉁䈪䈱ਗ೉ᢙ䈮䉋䉍᳇ᵃ᜼േ䉕⹏ଔ䈪䈐䉎⷗ㅢ䈚䈏ᓧ䉌䉏䈢䇯 ੹ᓟ䈲䉳䊷䉷䊦䉣䊮䉳䊮╬䈱Άᢱྃ಴․ᕈ䈱⸃ᨆᚻᴺ䈮ኻ䈚䈩ਗ೉⸘▚䈱᜛ᒛᕈ䉕⹏ଔ䈜䉎䈫䈫䉅䈮䇮 ല₸⦟䈇ਗ೉઀᭽䉕↪䈇䈩ᧄ䊒䊨䉳䉢䉪䊃䈪⋡ᮡ䈫䈚䈩䈇䉎⃻⽎䉕⸃ᨆ⹏ଔ䈜䉎ᔅⷐ䈏䈅䉎䇯䇭