Vortex structures in the Navier-Stokes equation : 2-D cellular flows and 3-D vortex reconnection ナヴィエ-ストークス方程式における渦構造 : 2次元セル流及び3次元渦のつなぎ替え

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著者

    • 高岡, 正憲 タカオカ, マサノリ

書誌事項

タイトル

Vortex structures in the Navier-Stokes equation : 2-D cellular flows and 3-D vortex reconnection

タイトル別名

ナヴィエ-ストークス方程式における渦構造 : 2次元セル流及び3次元渦のつなぎ替え

著者名

高岡, 正憲

著者別名

タカオカ, マサノリ

学位授与大学

京都大学

取得学位

理学博士

学位授与番号

甲第4703号

学位授与年月日

1991-03-23

注記・抄録

博士論文

目次

  1. 論文目録 / (0001.jp2)
  2. Table of Contents / p1 (0007.jp2)
  3. Abstract / p1 (0009.jp2)
  4. Chapter1 General Introduction / p2 (0010.jp2)
  5. §1.1 Introduction to the 2-D Navier-Stokes Equation / p3 (0011.jp2)
  6. 1.1.1 Stability analysis of the periodic flows / p4 (0012.jp2)
  7. 1.1.2 Exact solutions to the 2-D Navier-Stokes equation / p5 (0012.jp2)
  8. §1.2 Introduction to the 3-D Navier-Stokes Equation / p6 (0013.jp2)
  9. 1.2.1 Related theory of vortex reconnection / p6 (0013.jp2)
  10. 1.2.2 Several approaches to vortex reconnection / p8 (0014.jp2)
  11. 1.2.3 Common features in vortex reconnection / p9 (0014.jp2)
  12. 1.2.4 Quantification of vortex reconnection / p10 (0015.jp2)
  13. Figures for §1.2 / p11 (0015.jp2)
  14. References for Chapter1 / p12 (0016.jp2)
  15. Chapter2 Cellular Flows in the 2-D Navier-Stokes Equation / p16 (0018.jp2)
  16. §2.1 Intermediate-Wave Instability in Triangular Cellular Flows / p17 (0019.jp2)
  17. 2.1.1 Introduction to the stability of cellular flows / p17 (0019.jp2)
  18. 2.1.2 Numerical method for eigen-value problem / p19 (0020.jp2)
  19. 2.1.3 Numerical results of eigen-value problem / p21 (0021.jp2)
  20. 2.1.4 Concluding remarks / p22 (0022.jp2)
  21. Tables for §2.1 / p23 (0022.jp2)
  22. Figures for §2.1 / p25 (0023.jp2)
  23. §2.2 Straining Effects on Cellular Solutions / p29 (0025.jp2)
  24. 2.2.1 Introduction to straining effects / p29 (0025.jp2)
  25. 2.2.2 Formulation and derivation / p30 (0026.jp2)
  26. 2.2.3 Examples of solutions / p32 (0027.jp2)
  27. 2.2.4 Power laws and strain flows / p36 (0029.jp2)
  28. 2.2.5 Concluding remarks / p37 (0029.jp2)
  29. Figures for §2.2 / p40 (0031.jp2)
  30. References for Chapter2 / p45 (0035.jp2)
  31. Chapter3 Vortex Reconnection in Numerical Simulation / p47 (0035.jp2)
  32. §3.1 Trefoiled Vortex Tube / p50 (0037.jp2)
  33. 3.1.1 Introduction to helicity and reconnection / p50 (0037.jp2)
  34. 3.1.2 Numerical method / p51 (0038.jp2)
  35. 3.1.3 Numerical results / p53 (0039.jp2)
  36. 3.1.4 Concluding remarks / p55 (0040.jp2)
  37. Figures for §3.1 / p58 (0041.jp2)
  38. §3.2 Two Vortex Rings / p70 (0047.jp2)
  39. 3.2.1 Introduction to two vortex rings / p70 (0047.jp2)
  40. 3.2.2 Numerical scheme and initial condition / p73 (0049.jp2)
  41. 3.2.3 Interaction of vortex tubes / p76 (0050.jp2)
  42. 3.2.4 Effects of initial condition / p91 (0058.jp2)
  43. 3.2.5 Energy and enstrophy / p94 (0059.jp2)
  44. 3.2.6 Comparison with laboratory experiments / p97 (0061.jp2)
  45. 3.2.7 Helicity dynamics / p102 (0063.jp2)
  46. 3.2.8 Concluding remarks / p108 (0066.jp2)
  47. Tables for §3.2 / p111 (0068.jp2)
  48. Figures for §3.2 / p119 (0072.jp2)
  49. §3.3 Head-Tail Structure / p164 (0095.jp2)
  50. 3.3.1 Introduction to head-tail structure / p164 (0095.jp2)
  51. 3.3.2 Axisymmetric flow and stagnation flow / p166 (0096.jp2)
  52. 3.3.3 Spatial symmetry / p168 (0097.jp2)
  53. 3.3.4 Formulation and numerical method / p172 (0099.jp2)
  54. 3.3.5 Formation of head-tail structures / p174 (0100.jp2)
  55. 3.3.6 Perturbation analysis / p175 (0101.jp2)
  56. 3.3.7 Concluding remarks / p177 (0102.jp2)
  57. Tables for §3.3 / p179 (0103.jp2)
  58. Figures for §3.3 / p181 (0104.jp2)
  59. References for Chapter3 / p190 (0109.jp2)
  60. Chapter4 Analytical Study of Vortex Reconnection / p195 (0112.jp2)
  61. §4.1 Strained Solution to the 3-D Incompressible Navier-Stokes Equation / p196 (0113.jp2)
  62. 4.1.1 Introduction to analytical solution / p196 (0113.jp2)
  63. 4.1.2 Formulation and derivation / p198 (0114.jp2)
  64. 4.1.3 Examples of solution / p200 (0115.jp2)
  65. 4.1.4 Concluding Remarks / p207 (0119.jp2)
  66. Tables for §4.1 / p208 (0119.jp2)
  67. Figures for §4.1 / p210 (0120.jp2)
  68. §4.2 Breakdown of Frozen Motion of Vortex Lines and Vortex Reconnection / p219 (0125.jp2)
  69. 4.2.1 Introduction to the explanation of vortex reconnection / p219 (0125.jp2)
  70. 4.2.2 Breakdown of frozen motion of vortex lines / p221 (0126.jp2)
  71. 4.2.3 Spatial structure of R-field / p223 (0127.jp2)
  72. 4.2.4 Concluding remarks / p230 (0131.jp2)
  73. Figures for §4.2 / p234 (0133.jp2)
  74. References for Chapter4 / p247 (0143.jp2)
  75. Chapter5 Concluding Remarks / p250 (0145.jp2)
  76. Acknowledgements / p254 (0148.jp2)
  77. Pulse Interactions and Wave Evolutions in an Unstable Dissipative Dispersive System / (0182.jp2)
  78. Chaotic Motions in an Oscillatory Soliton Lattice / p3714 (0188.jp2)
  79. CHAOTIC BEHAVIOUR OF SOLITON LATTICE IN AN UNSTABLE DISSIPATIVE-DISPERSIVE NONLINEAR SYSTEM / p43 (0197.jp2)
  80. Pole Distribution and Steady Pulse Solution of the Fifth Order Korteweg-de Vries Equation / p73 (0205.jp2)
  81. Solitary Wave Solutions of Nonlinear Evolution and Wave Equations using a Direct Method and MACSYMA / p1 (0211.jp2)
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各種コード

  • NII論文ID(NAID)
    500000073791
  • NII著者ID(NRID)
    • 8000000073988
  • DOI(NDL)
  • NDL書誌ID
    • 000000238105
  • データ提供元
    • NDL-OPAC
    • NDLデジタルコレクション
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