A comparison of Eulerian and semi-Lagrangian approaches for modeling stream water quality
A comparison of Eulerian and semi-Lagrangian approaches for modeling stream water quality
复制标题
欧拉和半拉格朗日方法对溪流水质建模的比较
DOI：
10.1080/15715124.2023.2294449
复制
发表时间：
2023
影响因子：
2.5
通讯作者：
Loucks, D.P.
中科院分区：
文献类型：
--
作者：
Sulis, A.;Wild, T.B.;Loucks, D.P.
本文介绍和比较了欧拉和拉格朗日方法的优点和局限性，水质建模，并介绍了混合欧拉-拉格朗日（或半拉格朗日）方法，捕捉这两种方法的优势。半拉格朗日建模方法适用于平流主导的河流，并灵活地确保所有时间步长持续时间和网格分割的无条件稳定性。半拉格朗日建模方法证明，通过应用它来估计在斯洛文尼亚的萨瓦河中的溶解氧浓度，侧重于方面的方法和调查结果，将广泛感兴趣的河流水体的水质管理人员。在稳定和非稳定的情况下，半拉格朗日模型与基于欧拉的Eulerian 2K模型的比较结果表明，虽然两种模型都完全能够产生令人满意的结果时，最佳配置，半拉格朗日方法提供的准确性和稳定性，而不敏感的时间步长和计算网格分割方案的相互作用。
This paper describes and compares some of the advantages and limitations of Eulerian and Lagrangian approaches to water quality modeling and introduces a mixed Eulerian-Lagrangian (or semi-Lagrangian) methodology that captures the strengths of both approaches. The semi-Lagrangian modeling approach is applied to advection-dominated rivers, and flexibly ensures unconditional stability for all time step durations and grid segmentations. The semi-Lagrangian modeling approach is demonstrated by applying it to estimate the dissolved oxygen concentrations in the Sava River in Slovenia, focusing on aspects of the methodology and findings that would be of broad interest to managers of water quality in fluvial water bodies. Results of comparisons of the semi-Lagrangian model with the Eulerian-based QUAL2K model in steady and non-steady scenarios demonstrate that while both models are fully capable of producing satisfactory results when optimally configured, the semi-Lagrangian approach offers accuracy and stability without sensitivity to the interaction of time step size and computational grid segmentation scheme.