An upwind finite element scheme for the Navier-Stokes equations and its domain decomposition algorithm ナヴィエ・ストークス方程式のある風上型有限要素スキームとその領域分割型アルゴリズム

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著者

    • 藤間, 昌一 フジマ, ショウイチ

書誌事項

タイトル

An upwind finite element scheme for the Navier-Stokes equations and its domain decomposition algorithm

タイトル別名

ナヴィエ・ストークス方程式のある風上型有限要素スキームとその領域分割型アルゴリズム

著者名

藤間, 昌一

著者別名

フジマ, ショウイチ

学位授与大学

広島大学

取得学位

博士 (理学)

学位授与番号

乙第2946号

学位授与年月日

1997-03-05

注記・抄録

博士論文

目次

  1. Contents / p2 (0008.jp2)
  2. General Introduction / p1 (0010.jp2)
  3. 1 Mixed Finite Element Method for the Navier-Stokes Equations / p5 (0014.jp2)
  4. 1.1 Introduction / p5 (0014.jp2)
  5. 1.2 Variational principle and the finite element method / p6 (0015.jp2)
  6. 1.3 Standard mixed finite element method for the Navier-Stokes equations with iso-P2 P1/P1 elements / p10 (0019.jp2)
  7. 1.4 Consistent discretized pressure Poisson equation / p15 (0024.jp2)
  8. 1.5 Decomposition into sub-tetrahedra / p17 (0026.jp2)
  9. 1.6 Conclusion / p20 (0029.jp2)
  10. 2 Upwind Finite Element Scheme Based on the Choice of Up-and Down-wind Points / p21 (0030.jp2)
  11. 2.1 Introduction / p21 (0030.jp2)
  12. 2.2 Upwind finite element approximation based on the choice of up-and down-wind points / p23 (0032.jp2)
  13. 2.3 Search algorithm for the upwind points / p27 (0036.jp2)
  14. 2.4 Finite element scheme based on the choice of up-and downwind points for the Navier-Stokes equations / p34 (0043.jp2)
  15. 2.5 Stability regions with respect to α and т / p35 (0044.jp2)
  16. 2.6 Numerical results / p40 (0049.jp2)
  17. 2.7 Conclusion / p57 (0066.jp2)
  18. 3 Domain Decomposition Algorithm / p58 (0067.jp2)
  19. 3.1 Introduction / p58 (0067.jp2)
  20. 3.2 Two data types for data on the nodal points / p60 (0069.jp2)
  21. 3.3 Mortar element method / p66 (0075.jp2)
  22. 3.4 Domain decomposition algorithm for the upwind finite element scheme / p73 (0082.jp2)
  23. 3.5 Conclusion / p84 (0093.jp2)
  24. General Conclusion / p85 (0094.jp2)
  25. Bibliography / p88 (0097.jp2)
  26. AN UPWIND FINITE ELEMENT SCHEME FOR HIGH-REYNOLDS-NUMBER FLOWS / p305 (0138.jp2)
  27. NUMERICAL SIMULATION OF STREAKLINES EMERGING FROM THE SURFACE OF A CIRCULAR CYLINDER IN HIGH-REYNOLDS-NUMDER FLOWS / p146 (0148.jp2)
  28. High Performance Implementation of the Upwind Finite Element Scheme Based on the Choice of Up-and Downwind Points / (0154.jp2)
  29. Air Flow Computation around an Automated Guided Vehicle / p155 (0158.jp2)
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各種コード

  • NII論文ID(NAID)
    500000152387
  • NII著者ID(NRID)
    • 8000001069268
  • DOI(NDL)
  • NDL書誌ID
    • 000000316701
  • データ提供元
    • NDL ONLINE
    • NDLデジタルコレクション
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