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用适当的直角分解进行海水入侵模拟的减少顺序模型
Mohammadali Geranmehr1, Domenico Bau1, Alex S Mayer2
1Department of Civil and Structural Engineering, The University of Sheffield, Sheffield, UK.
Ground water
|December 27, 2024
概括
这项研究引入了一种快速而准确的方法,用于模拟沿海含水层中的海水入侵 (SWI). 有限差异正正直角分解 (FD-POD) 方法显著降低了地下水管理的计算成本.
科学领域:
- 水文地质学 水文地质学
- 计算流体动力学的流体动力学.
- 环境工程 环境工程
背景情况:
- 沿海含水层的可持续管理依赖于海水入侵 (SWI) 的准确模拟.
- 传统的可变密度流体模拟器解决部分微分方程 (PDEs) 是计算密集的.
- 模型替代品,特别是减少顺序模型 (ROM),为评估管理策略提供计算效率.
研究的目的:
- 实施和研究一个可变密度流量减少顺序模型,使用正确的直角分解 (POD) 和有限差异 (FD) 方法来模拟SWI.
- 评估FD-POD方法对同质和异质沿海含水层系统的准确性和计算效率.
- 为了证明FD-POD方法与已建立的可变密度流量模型的兼容性.
主要方法:
- 开发一个完全合的流量和溶液运输模型.
- 实施有限差异 (FD) 方法来解决可支配的PDEs.
- 应用正确的直角分解 (POD) 来创建一个减少顺序模型 (ROM).
- 在同质和异质系统中使用亨利问题测试FD-POD模型.
主要成果:
- 与全尺度模型相比,FD-POD方法显示了显著的计算收益.
- 该方法在模拟同质和异质含水层条件下的海水入侵 (SWI) 中实现了高精度.
- FD-POD模型有效地容纳了包括MODFLOW在内的流动密度可变流动模拟器的输出.
结论:
- 结合的FD-POD方法是模拟沿海水层中的SWI的有效工具,平衡精度和计算效率.
- 这种ROM为地下水管理场景提供了有价值的替代方案,需要快速评估众多的抽水策略.
- FD-POD方法提高了沿海资源管理现有的地下水建模框架的实用性.
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