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2002 Fiscal Year Final Research Report Summary

Study on Numerical Methods for Flows with Moving Boundaries

Research Project

Project/Area Number 12650894
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Aerospace engineering
Research InstitutionTokyo University of Agriculture and Technology

Principal Investigator

TAKAKURA Yoko  Tokyo University of Agriculture and Technology, Mechanical Systems Engineering Department, Assistant Professor, 工学部, 助手 (10262239)

Project Period (FY) 2000 – 2002
KeywordsMoving Boundary Problem / Moving-Coordinate Method / ALE / Complicated Configuration / Ballistic Range / Gas Circuit Breaker / High Accurate Scheme / Unstructured-Grid Solver
Research Abstract

As governing equations for numerical methods of flows with moving boundaries, usually used are the conservative form in general coordinate system in the case of compressible fluid, and the ALE (Arbitrary Lagrangian-Eulerian) form in the case of incompressible fluid, but these methods have the difficulty to re-generate grids at each time step when the boundaries are moving. On the other hand, the moving-coordinate method that the head investigator proposed is to resolve the difficulty. The purposes of this research project covers two intent : one is to give the unified derivation to the governing equations for numerical methods of flows with moving boundaries, which have existed individually, and give the scientific prospect to the field ; the other is to extend the ALE method and the moving-coordinate method for general use, apply them to physical and engineering problems, and enable to solve problems which cannot be solved because of the difficulty above stated
In the fiscal year of 20 … More 00, it was shown that the governing equations for numerical methods including moving boundaries, i.e., the conservative form in general coordinate system, the ALE (Arbitrary Lagrangian-Eulerian) form, and the moving-coordinate form, are derived unifiedly in this order, and simultaneously the meaning of the geometric conservation laws which metrics should satisfy was analytically 〓〓rified. Furthermore the moving-coordinate method was extended for general use, and applied to two cases with each way and flows : a 〓〓lti-domain problem for unsteady flows about a flying projectile launched in a ballistic range and a single-domain problem with cut-cell method for branch flows in opening process of a high-voltage gas circuit breaker. As results, it has been confirmed that the moving-coordinate method works effectively.
In the fiscal year of 2001, the ALE form was extended to the general coordinate system, and applied to gun-tunnel flows. In the numerical computation there are two courses : to simulate complicated flows closer to real phenomena and obtain detail, and to model (simplify) and obtain practical information with less computing time. As an example of the latter course, the quasi-one-dimensional Euler equations including the change of cross area with not only space but also time were derived, the ALE method was correctly applied with modelling of the piston motion and the pressure loss. Through comparison with experiments, it has been confirmed that the extended ALE method works well.
In the fiscal year 2002, the results obtained till then were published in international Journals with evaluation and consideration added. As preparatory stage to future developments, unstructured-grid solvers for arbitrary configuration and high-accurate schemes including source terms have been developed Less

  • Research Products

    (28 results)

All Other

All Publications (28 results)

  • [Publications] 高倉 葉子: "移動境界を含む流れの数値計算法:支配方程式,幾何保存則,及び移動座標法の適用例"日本数値流体力学会誌. 8巻3号. 117-129 (2000)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Takakura, Y.: "A Method for Computing Flows about Complex Configurations with Moving Boundaries"Computational Fluid Dynamics 2000:Proceedings of the first International Conference on Computational Fluid Dynamics, ICCFD Satofuka, N., ed.. 717-722 (2000)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Takakura, Y., Higashino, F., Iwamoto, K.: "Flow Simulations for Opening Process of a High-Voltage Gas Circuit Breaker"AIAA paper 2001-1010 AIAA(米国航空宇宙学会)発表. 2001-1010. (2001)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Nitanai, T., Takakura, Y., Higashino, F.: "An Unstructured Grid Solver and Adaptation Using Edge Algorithm"Computational Fluid Dynamics JOURNAL. Vol.10 No.3. 419-423 (2001)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] 岸本崇, 高倉葉子, 亀田正治, 東野文男: "非定常準一次元ガンタンネル流の数値シミュレーション"平成13年度衝撃波シンポジウム講演論文集. 89-92 (2002)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Sakaguchi, G, Higashino, F., Takakura, Y.: "Decay of Cylindrical Blast Waves in a Dissociating Air"Proceedings of the 4th International Workshop on Shock-Vortex Interactions 2001. 115-120 (2002)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Takakura, Y., Toro, E.F.: "Arbitrarily Accurate Non-oscillatory Schemes for a Nonlinear Conservation Law"Computational Fluid Dynamics JOURNAL. Vol.11 No.1. 6-17 (2002)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Takakura, Y., Iwamoto, K., Higashino, F.: "Flow Simulation for Opening Process of a High-Voltage Gas Circuit Breaker"Computational Fluid Dynamics JOURNAL. Vol.11 No.3. 290-299 (2002)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Nitanal, T., Takakura, Y., Higashino, Y.: "Unstructured Grid Solvers and Adaptation Using Edge Algorithm II"Computational Fluid Dynamics JOURNAL. Vol.11 No.4. 432-439 (2003)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Takakura, Y., Toro, E.F.: "Arbitrarily Accurate Non-oscillatory Schemes for Nonlinear Conservation Laws with Source Terms"AIAA paper 2002-2736 AIAA(米国航空宇宙学会). 2002-2736(発表). (2002)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] 岸本崇, 高倉葉子, 亀田正治, 東野文男: "非定常準一次元モデルによるガンタンネル流の数値シミュレーション"第16回数値流体力学シンポジウム講演論文集CD-ROM版. C11-2 (2002)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Takakura, Y. Toro, E.F.: "Arbitrarily Accurate Non-oscillatory Schemes for Nonlinear Scalar Conservation Laws with Source Terms II"Proceedings of the second International Conference on Computational Fluid Dynamics, ICCFD, Sydney, July 2002. 247-252 (2003)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Takakura, Y., Higashino, F.: "Problems on the Sonic Boom Simulator Using a Ballistic Range I : Disturbance in Wake"Computational Fluid Dynamics JOURNAL. Vol.12 No.2(in Press). (2003)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Kameda, M, Kishimoto, T., Takakura, Y., Higashino, F.: "Problems on the Sonic Boom Simulator Using a Ballistic Range II : Configuration of Test Section"Computational Fluid Dynamics JOURNAL. Vol.12 No.2(in Press). (2003)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Takakura, Y.: "Methods for Computing Flows with Moving Boundaries : Governing Equations, Geometric Conservation Laws, and Applications of Moving Coordinate Method"Journal of Japan Society of CFD. 8, No.3. 117-129 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Takakura, Y.: "A Method for Computing Flows about Complex Configurations with Moving Boundaries"Computational Fluid Dynamics 2000 : Proceedings of the first International Conference on Computational Fluid Dynamics. ICCFD1, Satofuka,, N., ed.. 717-722 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Takakura, Y., Higashino, F, and Iwamoto, K.: "Flow Simulations for Opening Process of a High-Voltage Gas Circuit Breaker"AIAA paper. 2001-1010. (2001)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Nitanai, T., Takakura, Y., and Higashino, F.: "An Unstructured Grid Solver and Adaptation Using Edge Algorithm"Computational Fluid Dynamics JOURNAL. 10, No.3. 419-423 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Kishimoto, T., Takakura, Y., Kameda, M., and Higashino, F.: "Numerical Simulation of Unsteady Quasi-One-Dimensional Flows within a Gun Tunnel"Proceedings of Symposium on Shock Waves JAPAN 2001. 89-92 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Sakaguchi, G., Higashino, F., and Takakura, Y.: "Decay of Cylindrical Blast Waves in a Dissociating Air"Proceedings of the 4th International Workshop on Shock-Vortex Interactions 2001. (2002)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Takakura, Y and Toro, E.F.: "Arbitrarily Accurate Non-oscillatory Schemes for a Nonlinear Conservation Law"Computational Fluid Dynamics JOURNAL. 11, No.1. 6-17 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Takakura, Y and Toro, E. F.: "Arbitrarily Accurate Non-oscillatory Schemes for Nonlinear Conservation Laws with Source Terms"AIAA paper. 2002-2736. (2002)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Takakura, Y., Iwamoto, K., and Higashino, F.: "Flow Simulation for Opening Process of a High-Voltage Gas Circuit Breaker"Computational Fluid Dynamics JOURNAL. 11, No.3. 290-299 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Nitanai, T., Takakura, Y., and Higashino, Y.: "Unstructured Grid Solvers and Adaptation Using Edge Algorithm II"Computational Fluid Dynamics JOURNAL. 11, No.4. 432-439 (2003)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Takakura, Y and Toro, E. F.: "Arbitrarily Accurate Non-oscillatory Schemes for Nonlinear Scalar Conservation Laws with Source Terms II"Proceedings of the second International Conference on Computational Fluid dynamics, ICCFD2, Srinias, ed. in press. (2003)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Kishimoto, T., Takakura, Y., Kameda, M., and Higashino, F.: "Numerical Simulation of Gun Tunnel Flows with Unsteady Quasi-One-Dimensional Model"Proceedings of the 16-th Computational Fluid Dynamics Symposium JAPAN, CD-ROM. C11-2. (2002)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Takakura, Y. and Higashino, F.: "Problems on the Sonik Boom Simulator Using a Ballistic Range I : Disturbance in Wake"Computational Fluid Dynamics JOURNAL. 12, No.2, in Press. (2003)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Kameda, M., Kishimoto, T., Takakura, Y., and Higashino, F.: "Problems on the Sonic Boom Simulator Using a Ballistic Range II : Configuration of Test Section"Computational Fluid Dynamics JOURNAL. 12, No.2, in Press. (2003)

    • Description
      「研究成果報告書概要(欧文)」より

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Published: 2004-04-14  

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