レベルセット仮想粒子による界面処理を用いた固定メッシュに基づく流体構造連成解析手法の開発
薄い弾性構造が高速流によって変形するエアバッグ展開のような大変形FSI (Fluid-Structure Interaction) 問題を解くことは，重要な研究課題の一つである．本研究では，大変形FSI問題を解析するために，固定メッシュに基づく流体構造連成解析手法に着目し，大変形する界面を零等値面として固定メッシュ上で表現することができるレベルセット関数を利用する．レベルセット関数を利用した固定メッシュに基づくpartitioned solution method (iterative staggered scheme) を構築し，既存する高度な流体ソルバーと構造ソルバーを組み合わせる．流体に...
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| Published in | 日本計算工学会論文集 Vol. 2008; p. 20080028 |
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| Main Authors | , , |
| Format | Journal Article |
| Language | Japanese |
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一般社団法人 日本計算工学会
27.10.2008
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| ISSN | 1347-8826 |
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| Abstract | 薄い弾性構造が高速流によって変形するエアバッグ展開のような大変形FSI (Fluid-Structure Interaction) 問題を解くことは，重要な研究課題の一つである．本研究では，大変形FSI問題を解析するために，固定メッシュに基づく流体構造連成解析手法に着目し，大変形する界面を零等値面として固定メッシュ上で表現することができるレベルセット関数を利用する．レベルセット関数を利用した固定メッシュに基づくpartitioned solution method (iterative staggered scheme) を構築し，既存する高度な流体ソルバーと構造ソルバーを組み合わせる．流体にはCIP有限要素法を用い，構造には有限変位増分および有限回転増分を考慮した構造要素を用いる．本研究では，界面の変形に応じて，レベルセット関数を更新し，界面での運動学的条件を扱うことが重要となる．そこで，レベルセット仮想粒子による界面処理法を提案する．この仮想粒子は，界面の法線方向に配置される．提案した連成解析手法は大変形FSI問題に対して十分な精度と安定性を有することを検証する． |
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| AbstractList | 薄い弾性構造が高速流によって変形するエアバッグ展開のような大変形FSI (Fluid-Structure Interaction) 問題を解くことは，重要な研究課題の一つである．本研究では，大変形FSI問題を解析するために，固定メッシュに基づく流体構造連成解析手法に着目し，大変形する界面を零等値面として固定メッシュ上で表現することができるレベルセット関数を利用する．レベルセット関数を利用した固定メッシュに基づくpartitioned solution method (iterative staggered scheme) を構築し，既存する高度な流体ソルバーと構造ソルバーを組み合わせる．流体にはCIP有限要素法を用い，構造には有限変位増分および有限回転増分を考慮した構造要素を用いる．本研究では，界面の変形に応じて，レベルセット関数を更新し，界面での運動学的条件を扱うことが重要となる．そこで，レベルセット仮想粒子による界面処理法を提案する．この仮想粒子は，界面の法線方向に配置される．提案した連成解析手法は大変形FSI問題に対して十分な精度と安定性を有することを検証する． |
| Author | 小野, 謙二 橋本, 学 野口, 裕久 |
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| References | (26) Takewaki, H., Nishiguchi, A. and Yabe, T., The cubic-interpolated pseudo-particle (CIP) method for solving hyperbolic-type equations, Journal of Computational Physics, 70, 1985, pp. 261-268. (8) Ishihara, D. and Yoshimura, S., A monolithic approach for interaction of incompressible viscous fluid and an elastic body based on fluid pressure Poisson equation, International Journal for Numerical Methods in Engineering, 64, 2005, pp. 167-203. (30) 赤羽秀文, 中山司, Ghost Fluid Methodと有限要素法による流体-固体連成解析, 第18回数値流体力学シンポジウム講演要旨集, 2004, p. 223. (21) Dvorkin, E., Oñate, E. and Oliver, J., On a nonlinear formulation for curved Timoshenko beam elements considering large displacement/rotation increments, International Journal for Numerical Methods in Engineering, 26, 1988, pp. 1597-1613. (17) Osher, S. and Fedkiw, R., Level Set Method and Dynamic Implicit Surfaces, 2003, Springer. (24) von Neumann, J. and Richtmyer, R.D., A method for the numerical calculation of hydrodynamic shocks, Journal of Applied Physics, 21-3, 1950, pp. 232-237. (16) Sethian, J.A., Level Set Methods and Fast Marching Methods, 1999, Cambridge University Press. (4) Ruff, C., Eichberger, A. and Jost, T., Simulation of an airbag deployment in Out-of-Position situation, 5. LS-DYNA Anwenderforum, 2006, pp. 5-16. (29) 橋本学, 野口裕久, Moving Least Squares-Smoothed Particle Hydrodynamics法による水中爆発問題の数値解析(気液界面上における微分不連続性の扱いに対する検討), 日本計算工学会論文集, 論文番号20070030, 2007, pp. 1-14. (5) Wall, W.A. and Ramm, E., Fluid-structure interaction based upon a stabilized (ALE) finite element method, Computational Mechanics (World Congress), New Trends and Applications, 1998, pp. 1-20. (28) Lancaster, P. and Salkauskas, K., Surfaces generated by moving least squares methods, Mathematics of Computation, 37-155, 1981, pp. 141-158. (13) Glowinski, R., Pan, T.W. and Periaux, J., Distributed Lagrange multiplier methods for incompressible viscous flow around moving rigid bodies, Computer Methods in Applied Mechanics and Engineering, 151, 1998, pp. 181-194. (27) Sussman, M., Smereka, P. and Osher, S., A level set approach for computing solution to incompressible two-phase flow, Journal of Computational Physics, 114, 1994, pp. 146-159. (7) Zhang, Q. and Hisada, T., Analysis of fluidstructure interaction problems with structural buckling and large domain changes by ALE finite element method, Computer Methods in Applied Mechanics and Engineering, 190-48, 2001, pp. 6341-6357. (3) Mahangare, M., Trepess, D., Blundell, M.V., Hoffmann, J., Freisinger, M. and Smith, S., A simulation approach for the early phase of a driver airbag deployment to investigate OoP scenarios, 5th European MADYMO User Conference, 2005, pp. 24-31. (9) Peskin, C.S. and Mcqueen, D.M., A three-dimensional computational method for blood flow in the heart I. immersed elastic fibers in a viscous incompressible fluid, Journal of Computational Physics, 81, 1989, pp. 372-405. (19) Legay A., Chessa, J. and Belytschko, T., An Eulerian-Lagrangian method for fluid-structure interaction based on level sets, Computer Methods in Applied Mechanics and Engineering 195, 2006, pp. 2070-2087. (31) Enright, D., Fedkiw, R., Ferziger, J. and Mitchell, I., A hybrid particle level set method for improved interface capturing, Journal of Computational Physics, 83, 2002, pp. 83-116. (18) Cirak, F. and Radovitzky, R., A Lagrangian-Eulerian shell-fluid coupling algorithm based on level sets, Computers & Structures, 83, 2005, pp. 491-498. (22) 槙原孝文, 棚橋隆彦, 松本昌昭, CIP法の有限要素法化(3次元移流方程式の検証), 日本機械学会論文集 B編, 63-609, 1997, pp. 1612-1619. (15) 久田俊明, 鷲尾巧, 心臓弁の流体構造連成シミュレーション法に関する数理的考察, 応用数理, 16-2, 2006, pp. 142-156. (25) Wilkins, M. L., Use of artificial viscosity in multidimensional fluid dynamics calculation, Journal of Computational Physics, 36-3, 1980, pp. 281-303. (10) Wang, X. and Liu, W.K., Extended immersed boundary method using FEM and RKPM, Computer Methods in Applied Mechanics and Engineering, 193, 2004, pp. 1305-1321. (11) Zhang, L., Gerstenberger, A., Wang, X., and Liu, W.K., Immersed finite element method, Computer Methods in Applied Mechanics and Engineering, 193, 2004, pp. 2051-2067. (1) Souli, M. and Olovson, L., Fluid-structure interaction in LS-DYNA: industrial applications, 4th European LS-DYNA Users Conference, 2003, pp. 35-42. (12) 澤田有弘, 手塚明, 久田俊明, 連成面追跡型ALEローカルメッシュとImmersed boundary型グローバルメッシュによる流体·シェル大変形連成解析用の重合メッシュ法, 日本計算工学会論文集, 論文番号20070029, 2007, pp. 1-10. (20) 野口裕久, 久田俊明, 有限回転増分を考慮した効率的シェル要素の開発およびその評価, 日本機械学会論文集 A編, 58-550, 1992, pp. 943-950. (6) Rugonyi, S. and Bathe, K.J., On finite element analysis of fluid flows fully coupled with structural interactions, CMES, 2-2, 2001, pp. 195-212. (2) Zhang, H., Raman, S., Gopal, M. and Han, T., Evaluation and comparison of CFD integrated airbag models in LS-DYNA, MADYMO and PAMCRASH, SAE International, 2004-01-1627, 2004, pp. 1-13. (14) Baajiens, F.P.T., A fictitious domain/mortar element method for fluid-structure interaction, International Journal for Numerical Methods in Fluids, 35, 2001, pp. 743-761. (23) 棚橋隆彦, 計算流体力学 -GSMAC 有限要素法-, 2006, 共立出版. |
| References_xml | – reference: (26) Takewaki, H., Nishiguchi, A. and Yabe, T., The cubic-interpolated pseudo-particle (CIP) method for solving hyperbolic-type equations, Journal of Computational Physics, 70, 1985, pp. 261-268. – reference: (16) Sethian, J.A., Level Set Methods and Fast Marching Methods, 1999, Cambridge University Press. – reference: (11) Zhang, L., Gerstenberger, A., Wang, X., and Liu, W.K., Immersed finite element method, Computer Methods in Applied Mechanics and Engineering, 193, 2004, pp. 2051-2067. – reference: (1) Souli, M. and Olovson, L., Fluid-structure interaction in LS-DYNA: industrial applications, 4th European LS-DYNA Users Conference, 2003, pp. 35-42. – reference: (28) Lancaster, P. and Salkauskas, K., Surfaces generated by moving least squares methods, Mathematics of Computation, 37-155, 1981, pp. 141-158. – reference: (17) Osher, S. and Fedkiw, R., Level Set Method and Dynamic Implicit Surfaces, 2003, Springer. – reference: (7) Zhang, Q. and Hisada, T., Analysis of fluidstructure interaction problems with structural buckling and large domain changes by ALE finite element method, Computer Methods in Applied Mechanics and Engineering, 190-48, 2001, pp. 6341-6357. – reference: (3) Mahangare, M., Trepess, D., Blundell, M.V., Hoffmann, J., Freisinger, M. and Smith, S., A simulation approach for the early phase of a driver airbag deployment to investigate OoP scenarios, 5th European MADYMO User Conference, 2005, pp. 24-31. – reference: (21) Dvorkin, E., Oñate, E. and Oliver, J., On a nonlinear formulation for curved Timoshenko beam elements considering large displacement/rotation increments, International Journal for Numerical Methods in Engineering, 26, 1988, pp. 1597-1613. – reference: (22) 槙原孝文, 棚橋隆彦, 松本昌昭, CIP法の有限要素法化(3次元移流方程式の検証), 日本機械学会論文集 B編, 63-609, 1997, pp. 1612-1619. – reference: (23) 棚橋隆彦, 計算流体力学 -GSMAC 有限要素法-, 2006, 共立出版. – reference: (2) Zhang, H., Raman, S., Gopal, M. and Han, T., Evaluation and comparison of CFD integrated airbag models in LS-DYNA, MADYMO and PAMCRASH, SAE International, 2004-01-1627, 2004, pp. 1-13. – reference: (20) 野口裕久, 久田俊明, 有限回転増分を考慮した効率的シェル要素の開発およびその評価, 日本機械学会論文集 A編, 58-550, 1992, pp. 943-950. – reference: (9) Peskin, C.S. and Mcqueen, D.M., A three-dimensional computational method for blood flow in the heart I. immersed elastic fibers in a viscous incompressible fluid, Journal of Computational Physics, 81, 1989, pp. 372-405. – reference: (25) Wilkins, M. L., Use of artificial viscosity in multidimensional fluid dynamics calculation, Journal of Computational Physics, 36-3, 1980, pp. 281-303. – reference: (10) Wang, X. and Liu, W.K., Extended immersed boundary method using FEM and RKPM, Computer Methods in Applied Mechanics and Engineering, 193, 2004, pp. 1305-1321. – reference: (30) 赤羽秀文, 中山司, Ghost Fluid Methodと有限要素法による流体-固体連成解析, 第18回数値流体力学シンポジウム講演要旨集, 2004, p. 223. – reference: (4) Ruff, C., Eichberger, A. and Jost, T., Simulation of an airbag deployment in Out-of-Position situation, 5. LS-DYNA Anwenderforum, 2006, pp. 5-16. – reference: (8) Ishihara, D. and Yoshimura, S., A monolithic approach for interaction of incompressible viscous fluid and an elastic body based on fluid pressure Poisson equation, International Journal for Numerical Methods in Engineering, 64, 2005, pp. 167-203. – reference: (13) Glowinski, R., Pan, T.W. and Periaux, J., Distributed Lagrange multiplier methods for incompressible viscous flow around moving rigid bodies, Computer Methods in Applied Mechanics and Engineering, 151, 1998, pp. 181-194. – reference: (15) 久田俊明, 鷲尾巧, 心臓弁の流体構造連成シミュレーション法に関する数理的考察, 応用数理, 16-2, 2006, pp. 142-156. – reference: (31) Enright, D., Fedkiw, R., Ferziger, J. and Mitchell, I., A hybrid particle level set method for improved interface capturing, Journal of Computational Physics, 83, 2002, pp. 83-116. – reference: (19) Legay A., Chessa, J. and Belytschko, T., An Eulerian-Lagrangian method for fluid-structure interaction based on level sets, Computer Methods in Applied Mechanics and Engineering 195, 2006, pp. 2070-2087. – reference: (5) Wall, W.A. and Ramm, E., Fluid-structure interaction based upon a stabilized (ALE) finite element method, Computational Mechanics (World Congress), New Trends and Applications, 1998, pp. 1-20. – reference: (27) Sussman, M., Smereka, P. and Osher, S., A level set approach for computing solution to incompressible two-phase flow, Journal of Computational Physics, 114, 1994, pp. 146-159. – reference: (18) Cirak, F. and Radovitzky, R., A Lagrangian-Eulerian shell-fluid coupling algorithm based on level sets, Computers & Structures, 83, 2005, pp. 491-498. – reference: (29) 橋本学, 野口裕久, Moving Least Squares-Smoothed Particle Hydrodynamics法による水中爆発問題の数値解析(気液界面上における微分不連続性の扱いに対する検討), 日本計算工学会論文集, 論文番号20070030, 2007, pp. 1-14. – reference: (6) Rugonyi, S. and Bathe, K.J., On finite element analysis of fluid flows fully coupled with structural interactions, CMES, 2-2, 2001, pp. 195-212. – reference: (12) 澤田有弘, 手塚明, 久田俊明, 連成面追跡型ALEローカルメッシュとImmersed boundary型グローバルメッシュによる流体·シェル大変形連成解析用の重合メッシュ法, 日本計算工学会論文集, 論文番号20070029, 2007, pp. 1-10. – reference: (24) von Neumann, J. and Richtmyer, R.D., A method for the numerical calculation of hydrodynamic shocks, Journal of Applied Physics, 21-3, 1950, pp. 232-237. – reference: (14) Baajiens, F.P.T., A fictitious domain/mortar element method for fluid-structure interaction, International Journal for Numerical Methods in Fluids, 35, 2001, pp. 743-761. |
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