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| DC 欄位 | 值 | 語言 |
|---|---|---|
| dc.contributor.advisor | 闕志鴻(Tzi-Hong Chiueh) | |
| dc.contributor.author | Tzu-Hsiang Chao | en |
| dc.contributor.author | 趙子翔 | zh_TW |
| dc.date.accessioned | 2021-06-17T02:22:58Z | - |
| dc.date.available | 2017-08-25 | |
| dc.date.copyright | 2017-08-25 | |
| dc.date.issued | 2017 | |
| dc.date.submitted | 2017-08-19 | |
| dc.identifier.citation | S. A. Balbus and J. F. Hawley. A powerful local shear instibility in weakly magnetized disks. The Astrophysical Journal, pages 214–222, 1991.
S. A. Balbus and J. F. Hawley. Instability, turbulence, and enhanced transport in accretion disks. REVIEWS OF MODERN PHYSICS, 70, 1998. G. D. Chagelishvili, J.-P. Zahn, A. G. Tevadze, and J. G. Lominadze. On hydrodynamic shear turbulence in Keplerian disks: via transientntgrowth to bypass transition. Astronomy and Astrophysics, 402:401–407, 2003. ISSN 00046361. doi: 10.1051/0004-6361:20030269. URL papers2://publication/uuid/51C6482B-90F4-44E2-ABC1-1E1B5582B8BD. P. Colella. Multidimensional Upwind for Hyperbolic Conservatio. Journal of Computational Physics, 87:171–200, 1990. S. W. Davis, J. M. Stone, and M. E. Pessah. Sustained Magnetorotational Turbulence in Local Simulations of Stratified Disks With Zero Net Magnetic Flux. The Astrophysical Journal, 713:52–65, 2010. ISSN 0004-637X. doi: 10.1088/0004-637X/713/1/52. C. Evens R. and J. F. Hawley. No Title. Astrophys. J., 332:659–677, 1988. C. F. Gammie. Nonlinear Outcome of Gravitational Instability in Cooling, Gaseous Disks. the Astrophysical Journal, 553:174–183, 2001. ISSN 0004-637X. doi:10.1086/320631. T. A. Gardiner and J. M. Stone. An unsplit Godunov method for ideal MHD via constrained transport in three dimensions. Journal of Computational Physics, 227(8):4123–4141, 2008. ISSN 00219991. doi: 10.1016/j.jcp.2007.12.017. O. Gressel and U. Ziegler. Shearingbox-implementation for the central-upwind, constraint-transport MHD-code NIRVANA. Computer Physics Communications, 176 (11-12):652–659, 2007. ISSN 00104655. doi: 10.1016/j.cpc.2007.01.010. J. F. Hawley, C. F. Gammie, and S. a. Balbus. Local Three-dimensional Magnetohydrodynamic Simulations of Accretion Disks. The Astrophysical Journal, 440:742, 1995. ISSN 0004-637X. doi: 10.1086/175311. T. A. G. James M. Stone. Implementation of the Shearing Box Approximation in Athena. 2010. B. M. Johnson and C. F. Gammie. Linear Theory of Thin, Radially Stratified Disks. The Astrophysical Journal, 626(2):978–990, 2005. ISSN 0004-637X. doi: 10.1086/430081. URL http://stacks.iop.org/0004-637X/626/i=2/a=978. J. Saltzman. An Unsplit 3D Upwind Method for Hyperbolic Conservation Laws, 1994. ISSN 00219991. H.-Y. Schive, Y.-C. Tsai, and T. Chiueh. GAMER : A GRAPHIC PROCESSING UNIT ACCELERATED ADAPTIVE-MESH-REFINEMENT CODE FOR ASTROPHYSICS. The Astrophysical Journal Supplement Series, 186:457–484, 2010. Y. Shen, J. M. Stone, and T. A. Gardiner. Three dimensional Compressible Hydrodynamic Simulations of Vortices in Disks. Astrophys. J., 653(1):513–524, 2006. ISSN 0004-637X. doi: 10.1086/508980. URL http://stacks.iop.org/0004-637X/653/i=1/a=513. J. M. Stone, J. F. Hawley, C. F. Gammie, and S. A. Balbus. Three-dimensional magnetohydrodynamic simulations of vertical stratified disks. Astrophys. J., 463:656–673, 1996. Z. Ui-Hang. Magnetohydrodynamics with GAMER (in prep.). O. M. Umurhan and O. Regev. Hydrodynamic stability of rotationally supported flows: Linear and nonlinear 2D shearing box results. Astron. Astrophys., 427(3):855–872, 2004. ISSN 0004-6361. doi: 10.1051/0004-6361:20040573. URL http://www. edpsciences.org/10.1051/0004-6361:20040573. | |
| dc.identifier.uri | http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/68495 | - |
| dc.description.abstract | 在此篇論文中，我們描述在GAMER(GPU-accelerated Adaptive Mesh Refinement) 程式中演算“剪流盒近似磁流體方程”以探討吸積盤動力機制的方法。相較於中央處理單元(CPU)，中央處理單元混合圖形運算單元(GPU) 能提升運算效能達十倍。最重要的，當探討問題所需的解析度不斷提高時，利用自適應網格，能有效的降低計算的負擔，進而能更有效率的進行研究。 | zh_TW |
| dc.description.abstract | In this thesis, we describe the implementation of the shearing box approximation with the GAMER (GPU-Accelerated Adaptive MEsh Refinement ) MHD (Magnetohydrodynamics) code for studies of accretion disks . The CPU (Central Process Units)-GPU (Graphic Process Units) hybrid computation, a major feature of GAMER, can ideally make performances more than ten times faster than CPUs-based computation. Since MRI (Magnetorotational Instability) in the weakly magnetize disk is highly dependent on the resolution of simulations, the key feature we introduce here is the realization of the AMR (Adaptive Mesh Refinement) scheme in a shearing box. The AMR scheme can efficiently enhance the resolution on crucial structures in small regions while not to increase the computation cost. Two techniques introduced in the Athena code (James M. Stone, 2010), the Crank-Nicholson update for the energy conservation of pure HYDRO cases and the orbital advection (FARGO) for more efficient and accurate calculation, are also implemented in my code. Difficulties and resolution of implementing the above two techniques to fit the AMR scheme and GPU structure will be discussed in this thesis. Results compared with previous works and performance tests are also presented. | en |
| dc.description.provenance | Made available in DSpace on 2021-06-17T02:22:58Z (GMT). No. of bitstreams: 1 ntu-106-R02244005-1.pdf: 15468579 bytes, checksum: 73703cc156e77a711fd0db9256598d02 (MD5) Previous issue date: 2017 | en |
| dc.description.tableofcontents | 口試委員會審定書iii
誌謝v 摘要vii Abstract ix 1 Introduction 1 2 Methods 3 2.1 Basic equations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 2.2 Shearing box implementation . . . . . . . . . . . . . . . . . . . . . . . . 4 2.2.1 Shearing box source terms in CTU scheme . . . . . . . . . . . . 5 2.2.2 Boundary conditions . . . . . . . . . . . . . . . . . . . . . . . . 7 2.2.3 Orbital advection . . . . . . . . . . . . . . . . . . . . . . . . . . 9 3 Structure in GAMER 11 3.1 Parallel Acceleration . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11 3.1.1 Operations for MPI . . . . . . . . . . . . . . . . . . . . . . . . . 12 3.1.2 Operations for OpenMP . . . . . . . . . . . . . . . . . . . . . . 12 3.2 GPU-based computation . . . . . . . . . . . . . . . . . . . . . . . . . . 12 3.3 Adaptive mesh refinement (AMR) . . . . . . . . . . . . . . . . . . . . . 14 3.3.1 Applied on Shearing-periodic boundary conditions . . . . . . . . 14 3.3.2 Coarse-fine correction . . . . . . . . . . . . . . . . . . . . . . . 14 3.3.3 Restriction on shearing boundaries . . . . . . . . . . . . . . . . . 15 4 Test problems 17 4.1 Code verification . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 17 4.1.1 Shear wave tests . . . . . . . . . . . . . . . . . . . . . . . . . . 17 4.1.2 Weak field loop test . . . . . . . . . . . . . . . . . . . . . . . . 19 4.2 Uniform mesh tests . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20 4.2.1 Dissipation of random vortical velocity field . . . . . . . . . . . 21 4.2.2 Uniform MRI application . . . . . . . . . . . . . . . . . . . . . 22 5 Results 25 5.1 Random vortical velocity field with AMR . . . . . . . . . . . . . . . . . 25 5.2 MRI application with AMR . . . . . . . . . . . . . . . . . . . . . . . . . 26 6 Conclusions and future works 29 6.1 Conclusions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 29 Bibliography 31 | |
| dc.language.iso | en | |
| dc.subject | 吸積盤 | zh_TW |
| dc.subject | 剪流盒 | zh_TW |
| dc.subject | 圖形運算單元 | zh_TW |
| dc.subject | 自適應網格 | zh_TW |
| dc.subject | accretion disk | en |
| dc.subject | shearing box | en |
| dc.subject | graphic process unit | en |
| dc.subject | adaptive mesh refinement | en |
| dc.title | 三維剪流盒之自適性網格與顯示卡加速之實現 | zh_TW |
| dc.title | 3D-Shearing-Box Simulation with Adaptive Mesh Refinement and GPU Acceleration | en |
| dc.type | Thesis | |
| dc.date.schoolyear | 105-2 | |
| dc.description.degree | 碩士 | |
| dc.contributor.oralexamcommittee | 陳宜良(I-Liang Chern),林明楷(Min-Kai Lin) | |
| dc.subject.keyword | 吸積盤,剪流盒,圖形運算單元,自適應網格, | zh_TW |
| dc.subject.keyword | accretion disk,shearing box,graphic process unit,adaptive mesh refinement, | en |
| dc.relation.page | 33 | |
| dc.identifier.doi | 10.6342/NTU201703893 | |
| dc.rights.note | 有償授權 | |
| dc.date.accepted | 2017-08-20 | |
| dc.contributor.author-college | 理學院 | zh_TW |
| dc.contributor.author-dept | 天文物理研究所 | zh_TW |
| 顯示於系所單位： | 天文物理研究所 | |
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