| 总变差不增差分格式计算一维，二维溃坝波 |
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| 引用本文： | 陶建华,张卫东.总变差不增差分格式计算一维，二维溃坝波[J].天津大学学报(自然科学与工程技术版),1993(1):7-15. |
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| 作者姓名： | 陶建华 张卫东 |
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| 作者单位： | 天津大学力学系
(陶建华)，天津大学力学系(张卫东) |
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| 基金项目： | 国家自然科学基金资助项目 |
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| 摘 要： | 用近年来发展的处理空气动力学中激波间的断的一类高分辨率格式－总变差不增格式（total variation nonincreasing scheam,简称TVNI）计算一维和二维溃坝波，在TVNI格式中考虑了底摩擦项（非齐次项），。研究了糙率对模拟溃坝波的影响，一维的计算结果与Stoker分析解和Lax-Wendroff格式解进行了比较，可以看出TVNI格式具有分辨率高，计算简单的优越性，二维计算采用了对称的方向分裂算法。
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| 关 键 词： | 总变差不增 溃坝波 水动力学 |
THE SIMULATION OF ONE AND TWO DIMENSIONAL DAM-BREAKING WAVES BY TVNI SCHEME |
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| Tao Jianhua Zhang Weidong.THE SIMULATION OF ONE AND TWO DIMENSIONAL DAM-BREAKING WAVES BY TVNI SCHEME[J].Journal of Tianjin University(Science and Technology),1993(1):7-15. |
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| Authors: | Tao Jianhua Zhang Weidong |
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| Institution: | Dept. of Mechanics |
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| Abstract: | In this paper, Total Variation Non-Increasing (TVNI) Scheme is used to simulate the one and two dimensional discontinuous flow caused by dam-breaking.The effects of bottom friction is considered in the computation (inhomogeneous term). The one dimensional results by TVNI method are compared with Stoker's analytical solutions and the solution by Lax-Wendroff method. TVNI scheme produces sharpen front and achives higher resolution. The numerical results by TVNI are in agreements with the experiment data.A strange-type dimensional splitting TVNI method is used to compute the two dimensional dam-breaking waves. |
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| Keywords: | total variation non-increasing (TVNI) dam-breaking waves resolution |
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