由于流水层相互作用而导致的水表形状变化的建模
Ashutosh Upadhyaya1, Manisha M Kankarej2, Pawan Jeet3
1Division of Land and Water Management, ICAR - Research Complex for Eastern Region, Patna 800 014, India
概括
数字解决方案,包括有限元素解决方案 (FES) 和完全隐含的有限差异解决方案 (FIFDS),准确地模拟地下水补充和流水层相互作用,优于分析方法.
科学领域:
- * 水文学和水文地质学
- * 计算流体动力学
背景情况:
- * 一维的Boussinesq方程描述了空间和时间的水表变化.
- *蒸发和地下水补充是影响水表动态的关键变量.
- *流水层相互作用是水文系统的关键组成部分.
研究的目的:
- * 通过使用各种数值和分析解决方案来研究流水界相互作用.
- * 为了比较不同方法的准确性和性能来解决一个维的非线性Boussinesq方程.
- *根据已确定的错误规范 (L2和Tchebycheff) 评估解决方案.
主要方法:
- * 实施基于Galerkin方法的有限元解决方案 (FES).
- * 应用混合有限分析解决方案 (HFAS) 作为基准.
- *使用完全隐含的有限差异解决方案 (FIFDS).
- *使用从线性化布西内斯方程中得出的分析解决方案 (AS I和AS II).
主要成果:
- *FES和FIFDS表现出高准确度,与HFAS对充水层和排水层水平面配置的基准密切匹配.
- *FES和FIFDS在L2和Tchebycheff标准的基础上获得了最高排名.
- *分析解决方案的性能低于数值方法,并且通过应用的规范缺乏一致的排名.
结论:
- * 数值解决方案 (FES,FIFDS) 提供了可靠和准确的模拟,由布西内斯方程控制的流水界相互作用.
- * 混合有限分析解决方案作为一个强大的基准来评估其他方法.
- *分析解决方案虽然更简单,但与数值方法相比,对于复杂的水文场景来说,它们的准确性较低.
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