| An Efficient High-Resolution Shock-Capturing Scheme for Multi-Dimensional Flows I. Hydrodynamics |
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| 引用本文： | Cong Yu National Astronomical Observatories / Yunnan Astronomical Observatory,Chinese Academy of Sciences,Kunming 650011, Graduate School of Chinese Academy of sciences,Beijing 100049. An Efficient High-Resolution Shock-Capturing Scheme for Multi-Dimensional Flows I. Hydrodynamics[J]. 中国天文和天体物理学报, 2006, 6(6): 680-688 |
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| 作者姓名： | Cong Yu National Astronomical Observatories / Yunnan Astronomical Observatory Chinese Academy of Sciences Kunming 650011 Graduate School of Chinese Academy of sciences Beijing 100049 |
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| 作者单位： | Cong Yu National Astronomical Observatories / Yunnan Astronomical Observatory，Chinese Academy of Sciences，Kunming 650011; Graduate School of Chinese Academy of sciences，Beijing 100049 |
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| 基金项目： | Supported by the National Natural Science Foundation of China. |
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| 摘 要： | Many problems at the forefront of theoretical astrophysics require a treatment of dynamical fluid behavior. We present an efficient high-resolution shock-capturing hydrody-namic scheme designed to study such phenomena. We have implemented a weighted, essentially non-oscillatory (WENO) scheme to fifth order accuracy in space. HLLE approximate Riemann solver is used for the flux computation at cell interface, which does not require spectral decomposition into characteristic waves and so is computationally friendly. For time integration we apply a third order total variation diminishing (TVD) Runge-Kutta scheme. Extensive testing and comparison with schemes that require characteristic decomposition are carried out demonstrating the ability of our scheme to address challenging open questions in astrophysics.
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| 关 键 词： | 多维流 高分辨率激波俘获方案 吸积盘 理论天体物理学 |
An Efficient High-Resolution Shock-Capturing Scheme for Multi-Dimensional Flows I.Hydrodynamics |
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| Cong Yu. An Efficient High-Resolution Shock-Capturing Scheme for Multi-Dimensional Flows I.Hydrodynamics[J]. Chinese Journal of Astronomy and Astrophysics, 2006, 6(6): 680-688 |
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| Authors: | Cong Yu |
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| Affiliation: | [1]National Astronomical Observatories / Yunnan Astronomical Observatory, Chinese Academy of Sciences, Kunming 650011 [2]Graduate School of Chinese Academy of Sciences, Beijing 100049 |
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| Abstract: | Many problems at the forefront of theoretical astrophysics require a treatment of dynamical fluid behavior. We present an efficient high-resolution shock-capturing hydrody-namic scheme designed to study such phenomena. We have implemented a weighted, essentially non-oscillatory (WENO) scheme to fifth order accuracy in space. HLLE approximate Riemann solver is used for the flux computation at cell interface, which does not require spectral decomposition into characteristic waves and so is computationally friendly. For time integration we apply a third order total variation diminishing (TVD) Runge-Kutta scheme. Extensive testing and comparison with schemes that require characteristic decomposition are carried out demonstrating the ability of our scheme to address challenging open questions in astrophysics. |
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| Keywords: | accretion - hydrodynamics - method: numerical - shock waves |
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