或沿艶稼酷或粥珂の庄稼岳艶姻韓看温馨による列餓
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或沿艶稼酷或粥珂の庄稼岳艶姻酷看温馨でk伏する列餓をまとめてみました。
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@misc{Imano202020OCFIS2020slide,
author={書勸 囘},
title={{仝或沿艶稼酷或粥珂ソルバのg佩扮ベイズ恷癖晒々k燕Y創}},
booktitle={OpenCAE?FrontISTR栽揖シンポジウム2020},
organization={オ`プンCAE僥氏},
year={2020},
month={Dec},
note={\href{http://www.opencae.or.jp/activity/symposium/ocfis2020/}{http://www.opencae.or.jp/activity/symposium/ocfis2020/}, (accessed 2020-12-09)}
}
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@misc{Imano202020OCFIS2020slide,
author={書勸 囘},
title={{仝或沿艶稼酷或粥珂ソルバのg佩扮ベイズ恷癖晒々k燕Y創}},
booktitle={OpenCAE?FrontISTR栽揖シンポジウム2020},
organization={オ`プンCAE僥氏},
year={2020},
month={Dec},
note={\href{http://www.opencae.or.jp/activity/symposium/ocfis2020/}{http://www.opencae.or.jp/activity/symposium/ocfis2020/}, (accessed 2020-12-09)}
}
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或沿艶稼酷或粥珂の庄稼岳艶姻韓看温馨による列餓
- 2. VOF(Volume ?of ?Fluid)隈 ?? ?屶塘?圭殻塀 Navier-\??Stokes ?塀 BA塀 送送悶楕楕楕αの卞送送?圭殻塀 sk gP t δσ ρν σ σ nF Fvvv v = ++?+??=??+ ? ? 2 0=?? v ?? VOF隈の之泣 ? 順中の侘彜が苧_に協xされな い ? ?? VOF隈のL侭 ? 廠順中の}jな簧里魄蕕ΜF をシミュレ`ト辛嬬 ? アルゴリズムがg ? F壓の冩梢ではgなVOF隈 を盾くのみの冩梢は富ない VOF隈と順中壅B吉をMみ栽 わせてシミュレ`ション k: ?順中の爆楕 :: ?liquid ?phase ? :: ?interface ? :: ?gas ?phase 1=α 0=α 10 <<α ( ) 0=??+ ? ? vα α t
- 3. VOF隈の娼業業個鋲?圭隈 VOF隈 ? VOF隈AMR ? CLSVOF隈 ? VOF/PLIC隈 ? VOF/SLIC隈 ? VOF/WLIC隈 ? VOF/IB隈 ? ? 方･好`ム ? CIP隈 ? WENO隈 順中壅Bのアルゴリズム ? PLIC ?(Piecewise ?Linear ?Interface ?CalculaLon) ? SLIC ?(Simple ?Line ?Interface ?CalculaLon) ? WLIC ?(Weighted ?Line ?Interface ?CalculaLon) ？なものが贋壓 剴 ? 2011定竃井┳井 ? Cambridge ?Univ. ?Press ? 詞狒の麻返隈について ? (麼にVOF狼, ?Front-?\Tracking, ? Level-?\Set ?など) ?
- 4. VOF隈(InterFoam) Dam Break (Tutorial) 順中の柊`餓 ? VOF隈のみでは`餓が寄きい
- 5. VOF隈AMR(InterDymFoam) Dam Break (Tutorial) 鯉徨蕉侭蛍護を佩っている ? 鯉徨蛍護のおかげで順中の 柊(`餓)が詰和
- 6. VOF隈の?匯違議なアルゴリズム 1. 送悶楕alphaの卞送 :: ?liquid ?phase ? :: ?interface ? :: ?gas ?phase 1=α 0=α 10 <<α ?α ?t +u??α = 0 2. 順中の壅B SLIC隈 PLIC隈 順中の壅Bアルゴリズムは謹方贋壓 ? しかし、このような壅Bは掲夛鯉徨(デ` タ)ではアルゴリズムが掲械にyしい
- 7. OpenFOAMでのVOF隈 送悶楕alphaの卞送 ?+ ?順中Rs :: ?liquid ?phase ? :: ?interface ? :: ?gas ?phase 1=α 0=α 10 <<α ?α ?t + ?? uα( )+ ?? 1?α( )αur( )= 0 ur = u1 ?u2 ur: ?堀業 ? u1: ?1の堀業 ? u2: ?2の堀業 順中Rs 掲夛鯉徨ベ`スのアルゴリズムであるOpenFOAMでは ? 順中Rsによって順中がﾚがるのを契いでいる。 ? (アルゴリズムは枠峰の壅Bに曳べて否叟)
- 8. 順?中Rsのモデル ?? 1?α( )αur( ) urf = nf min cα φf Sf , φf Sf max ! " # # $ % & & ?順中Rs 堀業ur 堀業をCαというパラメ`タを喘いてモデル晒 ? ? Cα寄なら堀業が寄きくなり、Rsがくなる。 ? Cα弌なら堀業が弌さくなり、Rsが樋くなる。 パラメ`タCαが寄きくY惚に唹する Cα寄ならspurious ?current寄 ? Cα弌ならspurious ?current弌 D. A. Hoang et al., Comput. Fluids, 86, 28-36 (2013). 寄きいspurious ?currentは麗尖議におかしいF鵑瞎き軟こす。
- 9. spurious ?current 順中薦(CSFモデル) J. U. Brackbill et al., J. Comp. Phys., 100, 335-354 (1992). Fσ =σknδs n = ?α ?α +δN δs = ?α Fσ =σk?α δN = 1.0〜10?8 ( Vi / N N ‘ )1/3k = ??n ?α,k 順中薦はNavier-?\Stokes塀に岷俊翌薦として紗えるので、順 中貧で順中薦のアンバランスな侭で堀業がk伏する ? の麻で`餓寄(順中薦のバランスが函れない) spurious ?current
- 11. spurious ?current ?? このspurious ?current吉の`餓はOpenFOAMでg廾さ れているようなRsを喘いたときに、寄きな`餓がk 伏する。(順中壅BがRsではうまくできていない) ? ?? PLIC隈のような順中壅Bを佩えば、この`餓は弌さく なるが、掲夛が圷となっているOpenFOAMでは、g 廾が掲械にyしい。 どのように盾Qしていくか
- 12. OpenFOAMの盾Q貨(枠?佩佩冩梢) ?? スム`ズ晒したalpha蛍下より爆楕吉を麻する。 D. A. Hoang et al., Comput. Fluids, 86, 28-36 (2013). !α = αf Sff =1 n ‘ Sff =1 n ‘ ?? S-?\CLSVOF隈を聞い、Level-?\Set隈とMみ栽わせる。 A. Albadawi et al., Int. J. Multiphase Flow, 53, 11-28 (2013). ?? Cαの､鮟發海Δ箸垢}に栽わせて{屁する。 ? ?? rg震みをかくとる。(nAlphaSubCycleのパラメ`タを 寄きくすることによって、送悶楕αの卞送圭殻塀のみを rg震みを弌さく函ることも辛嬬。)
- 13. まとめ ?? OpenFOAMのinterFoamの`餓がk伏する 圻咀についてまとめた。 ? ?? OpenFOAMに喘いることのできる、宴で互 娼業になる麻返隈が匯喃鵑瓩蕕譴襦 ? ?? 掲夛狼のsolverにも鬉任るいい圭隈 を深える。
- 14. References ?? D. A. Hoang et al., Comput. Fluids, 86, 28-36 (2013). ?? J. U. Brackbill et al., J. Comp. Phys., 100, 335-354 (1992). ?? A. Albadawi et al., Int. J. Multiphase Flow, 53, 11-28 (2013).