应用数学和力学2026，Vol.47Issue(4)：404-414,11.DOI:10.21656/1000-0887.460151
基于等效热容法的水域冰盖生长过程的数值模拟
Numerical Simulation of Ice Cover Growth in Water Bodies Based on the Equivalent Heat Capacity Method
摘要
Abstract
In cold regions,the formation of ice covers over water bodies during winter is a common phenome-non.The continuous growth of ice covers significantly impacts human activities,making it practically important to understand and predict ice growth behavior for the prevention of ice-related hazards.Ice cover growth is in-fluenced by multiple factors,and the underlying mechanisms have not yet been fully elucidated.To investigate the complexity of ice cover growth,a finite element computational model was established,and the equivalent heat capacity method was employed to numerically simulate the ice growth process.The accuracy of the pro-posed model and method was validated through comparison with experimental data.A comparative analysis was conducted between numerical results considering and neglecting natural convection.Furthermore,both the pro-posed method and the freezing degree-day method were applied to estimate the ice thickness at a specific cross section of the Songhua River.The root mean square errors of the 2 methods were provided,further confirming the effectiveness of the equivalent heat capacity method in real river environments.The results demonstrate that,the established computational model and the numerical approach can effectively represent physical proces-ses such as heat transfer and fluid motion,and handle water-ice phase transition problems.This study provides an effective method for simulating ice cover growth under multi-physics coupling effects.关键词
冰盖/生长过程/数值模拟/等效热容法/多物理场耦合Key words
ice cover/growth process/numerical simulation/equivalent heat capacity method/multi-physics coupling分类
建筑与水利引用本文复制引用
郭雅勋,李星,章青..基于等效热容法的水域冰盖生长过程的数值模拟[J].应用数学和力学,2026,47(4):404-414,11.基金项目
国家自然科学基金(12472200) （12472200）
甘肃省高校教师创新基金(2025B-192) （2025B-192）
