黃偉彥臺灣大學：物理研究所高瑞宗Go, Sui-TsungSui-TsungGo2007-11-262018-06-282007-11-262018-06-282004http://ntur.lib.ntu.edu.tw//handle/246246/54499我們研究軸對稱的測試流體在黑洞附近吸積的過程. 為了達成我們的計算, 我們發展了一隻全相對論性流體的數值程式, GReHD. 在文中我們會討論如何設計一個相對論性流體模擬的程式. 並且藉由發展出的數值方法, 我們嘗試尋找是不是有可能會有從吸積盤上射出的噴流的解.We investigate the axisymmetric accretion process of a perfect test fluid near a black hole. To perform the calculation, we develope a fully relativistic hydrodynamic computer code, GReHD. The implementation of the relativistic hydrodynamic code is discussed. We explore the possibility of jet solutions ejected from the accretion disk.1 Introduction 1 2 Equations of general relativistic hydrodynamics 3 2.1 Fundamental equations . . . . . . . . . . . . . . . . . . . . . . 3 2.2 The conservative form of the equations of general relativistic hydrodynamics . . . . . . . . . . . . . . . . . . . . . . . . . . 5 3 Numerical methods 9 3.1 Finite difference schemes . . . . . . . . . . . . . . . . . . . . . 9 3.2 High-resolusion shock-capturing schemes . . . . . . . . . . . . 10 3.2.1 Conservative scheme and Godunov’s method . . . . . . 10 3.2.2 Non-oscillatary centeral difference (NOCD) scheme . . 11 4 Simulations and Results 15 4.1 Setup . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 15 4.2 Results . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 16 A APPENDIX 23350242 bytesapplication/pdfen-US相對論衝擊波黑洞black holeshock waverelativitythesishttp://ntur.lib.ntu.edu.tw/bitstream/246246/54499/1/ntu-93-R90222048-1.pdf