| 一维溃坝波的数值模拟——基于WENO重构的解耦格式 |
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| 引用本文： | 张文忠,陈景秋,张永祥,缪吉沦.一维溃坝波的数值模拟——基于WENO重构的解耦格式[J].重庆大学学报(自然科学版),2012,35(11):122-125. |
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| 作者姓名： | 张文忠 陈景秋 张永祥 缪吉沦 |
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| 作者单位： | 重庆大学 资源与环境科学学院，重庆400044；重庆交通大学 理学院，重庆 400074;重庆大学 资源与环境科学学院，重庆400044;重庆大学 资源与环境科学学院，重庆400044;重庆交通大学 重庆西南水运工程科学研究所，重庆 400074 |
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| 基金项目： | 教育部博士点专项基金资助项目(2011019111036)；中央高校基本科研业务费资助项目(CDJZR12240070) |
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| 摘 要： | 采用五阶精度的WENO格式对界面变量进行数值重构，形成高精度的数值离散格式，对其捕捉溃坝波的能力进行分析。用roe平均对一维浅水方程组进行局部线性化，通过直接和解耦2种格式进行求解，数值模拟溃坝洪水的推进过程，得到沿程的水位和流速分布。与理论解的比较表明基于WENO5重构的解耦格式，具有很高的分辨率，展现了溃坝涌波的运动特性。
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| 关 键 词： | 溃坝 加权本质无振荡格式 数值模拟 守恒 |
Numerical simulation of one-dimensional dam-break: A decoupled scheme with WENO reconstruction |
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| ZHANG Wenzhong,CHEN Jingqiu,ZHANG Yongxiang and MIU Jilun.Numerical simulation of one-dimensional dam-break: A decoupled scheme with WENO reconstruction[J].Journal of Chongqing University(Natural Science Edition),2012,35(11):122-125. |
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| Authors: | ZHANG Wenzhong CHEN Jingqiu ZHANG Yongxiang and MIU Jilun |
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| Institution: | College of Resources and Enviromental Science, Chongqing University, Chongqing 400044, China; College of science, Chongqing Jiaotong University, Chongqing 400074, China;College of Resources and Enviromental Science, Chongqing University, Chongqing 400044, China;College of Resources and Enviromental Science, Chongqing University, Chongqing 400044, China;Southwestern Hydraulic Engineering Research Institute for Waterway, Chongqing Jiaotong University, Chongqing 400074, China |
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| Abstract: | Based on the reconstruction of interface variables with the fifth-order WENO, a high resolution scheme is proposed and the performance of capturing dam break waves is analyzed. With the part is linearized through Roe average, one dimensional shallow water equation is directly and decoupled solved, the velocity distribution and depth distribution are obtained. Numerical simulation shows that the decoupled schemes with WENO5 reconstruction has higher resolution and it shows the movement of dam-break. |
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| Keywords: | dam-break weighed essentially non-oscillatory numerical simulation conservation |
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