| 高精度两步TVD格式的构造及数值检验 |
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| 引用本文： | 汪银乐,鞠银.高精度两步TVD格式的构造及数值检验[J].航空动力学报,2006,21(6):1043-1047. |
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| 作者姓名： | 汪银乐 鞠银 |
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| 作者单位： | 南京工业大学,理学院,南京,210009 |
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| 摘 要： | 基于通量分裂的思想,利用Taylor级数理论和第二步限制器函数的控制,构造了在光滑区域空间为三阶、时间为一阶精度的高分辨率全变差递减(TVD)格式.该格式在激波过渡点降为一阶迎风格式.并从单个线形方程推广到非线性方程及方程组情形.通过几个典型算例的计算,并与二阶TVD格式作了比较,表明该方法对流场中的激波有较高的分辨率,且是无波动的.
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| 关 键 词： | 航空、航天推进系统 TVD格式 Taylor级数 二步格式 高精度 |
| 文章编号： | 1000-8055(2006)06-1043-05 |
| 收稿时间： | 4/5/2006 12:00:00 AM |
| 修稿时间： | 2006年4月5日 |
Structure and numerical simulation of high order two steps scheme |
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| WANG Yin-yue and JU Yin.Structure and numerical simulation of high order two steps scheme[J].Journal of Aerospace Power,2006,21(6):1043-1047. |
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| Authors: | WANG Yin-yue and JU Yin |
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| Institution: | College of Sciences, Nanjing University of Technology, Nanjing 210009, China;College of Sciences, Nanjing University of Technology, Nanjing 210009, China |
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| Abstract: | Basing on the flux-vector splitting,a space 3-order accuracy total variation diminishing(TVD) scheme by applying the Taylorseries theory and the control of the limiter was constructed.The scheme was 1-order in time.In the region of the shock wave the scheme changed into 1-order upwind scheme,Then the simple linear differential equation was spread nonlinear equation.It was applied in solving typical numerical experiments.The present results were compared with those results computed by the 2 nd order TVD scheme.It testifys that the scheme has high order accuracy and high resolution for shocks waves,therefore they are non-oscillatory |
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| Keywords: | aerospace propulsion system total variation diminishing(TVD) Taylorseries two step scheme high-order accuracy |
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