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姓名 許至德(Chih-Te Hsu) 查詢紙本館藏 畢業系所 太空科學研究所 論文名稱 混合式粒子碼之建立與應用
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摘要(中) 太空電漿為磁化且無碰撞的,電漿壓力或溫度會呈現非均向性,而導致不穩定性的產生。當電漿條件滿足P//≧P⊥+B2/μ0,會產生救火管不穩定。本文發展適合應用於模擬其不穩定性之二維電漿混合式粒子碼,所利用之演算法為Current Advance Method and Cyclic Leapfrog,其將正離子看成粒子、電子看成流體。此演算法之特點為利用“動量法”之概念來實作,優點為在保持模擬正確性的同時,可以節省電腦計算時間。模擬的結果顯示,二維模擬中發生不穩定性後,磁場會繞磁場初始方向旋轉,且具有沿模擬平面傳播之波動。此外模擬平面上可看見發展出相當明顯的正離子渦流。
摘要(英) The space plasma is magnetized and collisionless. As a result, the plasma pressure or temperature can become anisotropic with P//≠P⊥. The fire-hose instability occurs when the threshold condition of P//≧P⊥+B2/μ0 is met. The purpose of this thesis is to develop a two-dimensional hybrid simulation code that can be applied to simulate the fire-hose instability. The numerical method used here is the modified CAM-CL (Current Advance Method and Cyclic Leapfrog) scheme in which ions are treated kinetically as particles and electrons are treated as a fluid. The feature of CAM-CL is to use the momentum method, which takes the advantages of having accurate field evolution and saving computational time. The simulation results show that during the evolution process, the magnetic field rotates, and the wave propagates on the simulation plane. It is found that ion turbulence may develop in the two-dimensional fire-hose instability.
關鍵字(中) ★ 電漿模擬 關鍵字(英) ★ plasma simulation 論文目次 中文摘要 i
英文摘要 ii
目錄 iii
圖目錄 v
一、導論 1
二、混合式粒子碼數值方法 3
2-1 Particle-in-Cell Simulation 5
2-2 Basic Equations 6
2-3 Current Advance Method 10
2-4 Cyclic Leapfrog 13
2-5 Time Advance Algorithm 15
2-6 Normalization and Units 18
2-7 Ion Beam Instability Case 19
三、混合式粒子碼應用 21
3-1 救火管不穩定性 22
3-2 非線性成長 24
3-3 一維與二維救火管不穩定性比較 26
3-4 一維與二維救火管不穩定性模擬中磁場之演化 29
3-5 不穩定性中正離子速度分佈演化 30
3-6 不穩定性中磁場與正離子流演化 31
3-7 電漿 之影響 32
四、總結 34
參考文獻 36
參考文獻 Winske, D., and Yin, L., Hybrid codes: Past, present and future, (ISSS-6), p.62, 2001.
Krauss-Varban, D., From Theoretical Foundation to Invaluable Research Tool: Modern Hybrid Simulations, (ISSS-7), pp. 15-18, 2005.
Kasper, J. C., A. J. Lazarus, and S. P. Gary, Wind/SWE observations of firehose constraint on solar wind proton temperature anisotropy, Geophys. Res Lett., 29(17), 1839, doi:10.1029/2002GL015128, 2002.
Quest, K. B., and V. D. Shapiro, Evolution of the fire-hose instability: Linear theory and wave-wave coupling, J. Geophys. Res., 101, 24,457-24,469, 1996.
Okuda, H. and C. K. Birdsall, Collisions in a Plasma of Finite‐Size Particles, Phys. Fluids 13, 2123; doi:10.1063/1.1693210, 1970.
Matthews, A., Current advance method and cyclic leapfrog for 2D multispecies hybrid plasma simulations, J. Comput. Phys., 112, 102-116, 1994.
Winske, D., and K. B. Quest, Electromagnetic ion beam instabilities: Comparison of one- and two-dimensional simulations, J. Geophys. Res, 91(A8), 8789-9797,1986
蘇韶晴, 救火管不穩定性之混合粒子碼模擬研究, 碩士論文, 國立中央大學太空科學研究所, 2007.
指導教授 郝玲妮(Lin-Ni Hau) 審核日期 2011-7-13 推文 plurk
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