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| A CLASS OF COMPACT UPWIND TVD DIFFERENCE SCHEMES | |
| 作者姓名： | 涂国华 袁湘江 夏治强 呼振 |
| 作者单位： | China Aerodynamics Research and Development Center Mianyang 621000 Sichuan Province，P. R. China National CFD Laboratory，Beijing 100083，P. R. China，China Aerodynamics Research and Development Center Mianyang 621000，Sichuan Province，P. R. China National CFD Laboratory，Beijing 100083，P. R. China，Center for Information Analysis Research Institute of Chemical Defense，Beijing 102205，P. R. China，School of Software Engineering Tongji University，Shanghai 200331，P. R. China |
| 摘 要： | A new method was proposed for constructing total variation diminishing (TVD) upwind schemes in conservation forms. Two limiters were used to prevent non-physical oscillations across discontinuity. Both limiters can ensure the nonlinear compact schemes TVD property. Two compact TVD (CTVD) schemes were tested, one is third-order accuracy, and the other is fifth-order. The performance of the numerical algorithms was assessed by one-dimensional complex waves and Riemann problems, as well as a two-dimensional shock-vortex interaction and a shock-boundary flow interaction. Numerical results show their high-order accuracy and high resolution, and low oscillations across discontinuities. |
| 关 键 词： | 高阶微分概形 紧凑概形 TVD概形 振动涡旋 振动边界 |
| 收稿时间： | 2004-10-10 |
| 修稿时间： | 2006-02-25 |
A class of compact upwind TVD difference schemes |
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| Guo-hua Tu,Xiang-jiang Yuan Doctor,Zhi-qiang Xia,Zhen Hu.A CLASS OF COMPACT UPWIND TVD DIFFERENCE SCHEMES[J].Applied Mathematics and Mechanics(English Edition),2006,27(6):765-772. | |
| Authors: | Guo-hua Tu Xiang-jiang Yuan Doctor Zhi-qiang Xia Zhen Hu |
| Institution: | 1. China Aerodynamics Research and Development Center, Mianyang 621000, Sichuan Province, P. R. China;National CFD Laboratory, Beijing 100083, P. R. China 2. Center for Information Analysis, Research Institute of Chemical Defense, Beijing 102205, P. R. China 3. School of Software Engineering, Tongji University, Shanghai 200331, P. R. China |
| Abstract: | A new method was proposed for constructing total variation diminishing (TVD) upwind schemes in conservation forms. Two limiters were used to prevent non-physical oscillations across discontinuity. Both limiters can ensure the nonlinear compact schemes TVD property. Two compact TVD (CTVD) schemes were tested, one is third-order accuracy, and the other is fifth-order. The performance of the numerical algorithms was assessed by one-dimensional complex waves and Riemann problems, as well as a two-dimensional shock-vortex interaction and a shock-boundary flow interaction. Numerical results show their high-order accuracy and high resolution, and low oscillations across discontinuities. |
| Keywords: | high-order difference schemes compact schemes TVD schemes shock-vortex shock-boundary |
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