摘要
根据浓度变化和水流纵向流速等因素,建立河流污染源的泄漏扩散模型.利用偏微分方程基本理论,得到了模型级数形式的解.为体现相关理论结果,进行了数值模拟,探讨了参数对解的长期行为的影响,从数学角度揭示了污染源扩散对河流的影响规律.
The leakage and diffusion model of river pollution source was established according to the concentration change and the longitudinal velocity of water flow.Using the basic theory of partial differential equation,the solution of the model in series form is obtained.In order to reflect the relevant theoretical results,numerical simulation is carried out to discuss the influence of parameters on the long-term behavior of the solution,and the influence law of pollution source diffusion on the river is revealed from the mathematical point of view.
作者
朱敏
王菲
宋小飞
ZHU Min;WANG Fei;SONG Xiaofei(School of Mathematics and Statistics,Anhui Normal University,Wuhu 241002,China;Suzhou City Lingbi Middle School,Suzhou 234000,China)
出处
《高师理科学刊》
2023年第1期6-9,共4页
Journal of Science of Teachers＇College and University
基金
安徽省教育厅教学研究项目(2020jyxm1979)
安徽师范大学大学生创新创业训练计划项目(202010370093)。
关键词
水污染模型
偏微分方程
扩散
数值模拟
water pollution model
partial differential equation
diffusion
numerical simulation
