| 基于POM的物质输运方程数值格式研究 |
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| 引用本文： | 申霞,洪大林,王鹏.基于POM的物质输运方程数值格式研究[J].海洋科学进展,2009,27(4). |
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| 作者姓名： | 申霞 洪大林 王鹏 |
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| 作者单位： | 1. 南京水利科学研究院,江苏,南京,210024
2. 河海大学,浅水湖泊综合治理与资源开发教育部重点实验室,江苏,南京,210098;河海大学,环境科学与工程学院,江苏,南京,210098 |
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| 基金项目： | 国家重点基础研究发展计划项目--污染物多相迁移机制研究及模型构建，浅水湖泊综合治理与资源开发教育部重点实验室开放研究基金--浅水湖泊沉积物再悬浮事件对磷素吸附和解吸行为的影响，河海大学自然科学基金--风浪扰动下浅水湖泊沉积物与磷素相互作用 |
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| 摘 要： | 在三维海洋模式POM基础上建立水质模型,采用中心差分格式、迎风格式以及Smolarkiewicz迎风格式离散物质输运方程.以三维理想水槽中连续源排放的浓度场预测为例,分析3种离散格式求解所得的浓度场.结果表明,3种格式的数值解与解析解的偏差均小于20%.中心差分格式会引起解的震荡,导致物质的反向输移,出现浓度负值.迎风格式能够保证浓度的正值,但该格式带来的数值耗散导致数值解与解析解偏离较大.Smolarkiewicz迎风格式在普通迎风格式基础上引入抗扩散流速,经多次叠代,能有效降低计算中的数值耗散,提高了计算精度.
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| 关 键 词： | 迎风格式 中心差分格式 三维 水槽试验 |
Study on Numerical Scheme of Mass Transport Equation Based on POM |
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| SHEN Xia,HONG Da-lin,WANG Peng.Study on Numerical Scheme of Mass Transport Equation Based on POM[J].Advances in Marine Science,2009,27(4). |
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| Authors: | SHEN Xia HONG Da-lin WANG Peng |
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| Institution: | SHEN Xia1,HONG Da-lin1,WANG Peng2,3(1.Nanjing Hydraulic Research Institute,Nanjing 210024,China,2.Ministry of Education Key Laboratory of Integrated Regulation and Resource Development on Shallow Lakes,Hohai University,Nanjing 210098,3.College of Environmental Science and Engineering,China) |
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| Abstract: | A water quality model is fomulated and incorporated into POM. The central differencing scheme, the upwind scheme, and the Smolarkiewicz upwind scheme are respectively used to discretize the mass transport equation in the model and to predict the concentration distribution in a three-dimentional plume from a contineous source in an ideal water tank. It is learnt from the analysis of the model results respectively corresponding to the 3 schemes that the deviations between the analytic solution and any one of the numerical solutions respectively from the 3 schemes are all less than 20%. However a kind of oscillation can be found in the solution of the central differencing scheme, and the mass transport direction can be reversed to produce negative concentration values. The upwind scheme is able to ensure the positive concentration values in the whole plume, but the dissipation from this scheme takes place to result in a greater deviation between the numerical solution and the analytic. Since the anti-diffusion velocity is addied in the upwind scheme to design the Smolarkiewicz upwind scheme, the dissipation from the latter is efficiently decreased by means of the iteration method, and the precision of the numerical calculation becomes improved. |
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| Keywords: | Smolarkiewicz |
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