Advection scheme with 3rd high-order spatial interpolation at the middle temporal level and its application to saltwater intrusion in the Changjiang Estuary
Advection scheme with 3rd high-order spatial interpolation at the middle temporal level and its application to saltwater intrusion in the Changjiang Estuary
复制标题
中时间水平第三次高阶空间插值平流格式及其在长江口咸水入侵中的应用
DOI：
10.1016/j.ocemod.2009.12.001
复制
发表时间：
2010
期刊：
影响因子：
3.2
通讯作者：
Wu, Hui
中科院分区：
文献类型：
--
作者：
Zhu, Jianrong;Wu, Hui
采用三次高阶空间插值耦合TVD限制器的非振荡平流方案（HSIMT-TVD方案）具有以下特点：(1)利用抛物线来表征物质在nΔt的局部分布；(2)通过一步回溯到（n+0.5）Δt的位置，确定细胞界面值nΔt；(3)利用Sweby的TVD限幅器约束导出的单元界面值，消除数值振荡。第三种HSIMT-TVD格式直接基于Sweby的原始TVD公式推导，因此不需要TVD限制器的对称假设。一维/二维测试表明，与其他一些成熟的方案相比，本方案的性能相当稳定。用该方案成功地模拟了波数2的淡水涡流不稳定性。并利用2003年2月和2007年2 - 3月的实测数据对模型进行了模拟，验证了模型的有效性。模型结果与实测数据吻合较好，正确地模拟了咸水入侵的主要特征，如咸水北支外溢、盐楔、咸水楔状侵入引入的分层和稀释水羽状延伸等。此外，还对其他几种方案进行了比较，并讨论了它们之间的差异。
A non-oscillatory advection scheme with 3rd high-order spatial interpolation at the middle temporal level coupled with a TVD limiter (the 3rd HSIMT-TVD scheme) was developed with the following features: (1) It uses a parabola to characterize a substance’s local distribution at nΔt; (2) it determines the cell interface value at (n+0.5)Δt by one-step backward tracing to its position at nΔt; and (3) it uses Sweby’s TVD limiter to constrain the derived cell interface value to eliminate numerical oscillation. The 3rd HSIMT-TVD scheme was derived based on Sweby’s original TVD formula directly, thus the symmetric assumption of a TVD limiter is not necessary. 1D/2D tests suggest that the present scheme performs quite robustly compared to some other well-established schemes. The wavenumber two freshwater eddy instability has been successfully simulated using the present scheme. The derived model was then used to simulate the saltwater intrusion into the Changjiang Estuary, and the in situ data collected in February 2003 and February–March 2007 were used for validation. The model results were quite close to the measured data, and the main features of saltwater intrusion, such as saltwater spilling over from the North Branch, the salt wedge, and the stratification introduced by the wedge-like saltwater intrusion and the plume-like extension of diluted water, were simulated correctly. Furthermore, some other schemes were also used for comparison, and their differences are discussed.
登录
查看更多内容
影响因子：
5
作者：
B. Tartinville;É. Deleersnijder;P. Lazure;R. Proctor;K. Ruddick;R. Uittenbogaard
通讯作者：
B. Tartinville;É. Deleersnijder;P. Lazure;R. Proctor;K. Ruddick;R. Uittenbogaard
影响因子：
4.1
作者：
Kyu Hong Kim;Chongam Kim
通讯作者：
Kyu Hong Kim;Chongam Kim
影响因子：
7.4
作者：
Jianrong Zhu;P. Ding;Li-Quan Zhang;Hui Wu;Huijiang Cao
通讯作者：
Jianrong Zhu;P. Ding;Li-Quan Zhang;Hui Wu;Huijiang Cao
影响因子：
1.4
作者：
Ding Chen;A. Zheng;Min Chen
通讯作者：
Ding Chen;A. Zheng;Min Chen
DOI：
10.1016/0021-9991(87)90049-0
发表时间：
1987-01
期刊：
--
影响因子：
--
作者：
H. C. Yee
通讯作者：
H. C. Yee