| 丁玲,逄勇,吴建强,李一平.模拟水质突跃问题的三种二阶高性能格式[J].水利学报,2004,35(9):0050-0055 |
| 模拟水质突跃问题的三种二阶高性能格式 |
| Three second-order schemes for simulation water quality jump |
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| DOI： |
| 中文关键词: 有限体积法 黎曼近似解 水质间断 二阶TVDS格式 水质预测 |
| 英文关键词: finite volume method approximate Rieman solver water quality discontinuity second-order total variation diminishing scheme water quality forecasting |
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| 中文摘要: |
| 在有限体积法和黎曼近似解理论框架下建立三种二阶TVD格式(Total Variation Diminishing Scheme全变差消减格式)。通过理想条件下方形浓度场在均匀流场中的输移这一算例，分析了在水质间断情况下三种格式的计算精度。与一阶逆风格式的计算结果进行了比较，结果表明，所建的三种二阶TVDS格式的计算精度显著高于一阶逆风格式，与理论值吻合较好，说明所建三种格式适用于水质突跃(包括水质间断)情况的水质预测。 |
| 英文摘要: |
| In the frame of finite volume method (FVM) and approximate Rieman solver, three kinds of second-order total variation diminishing (TVD) schemes are developed. The precisions of these schemes are analyzed by the calculations for the transport of a rectangular discontinuous water quality process under ideal conditions. The comparison with first-order scheme shows that the proposed second-order schemes has higher accuracy and the calculation results well agree with the theoretical value. It is concluded that this kind of scheme is feasible for the water quality forecasting in case the quality jump happened. |
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