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物质输运方程中平流项数值格式的改进
引用本文:陈昞睿,朱建荣. 物质输运方程中平流项数值格式的改进[J]. 华东师范大学学报(自然科学版), 2006, 2006(4): 64-70
作者姓名:陈昞睿  朱建荣
作者单位:华东师范大学河口海岸国家重点实验室,上海200062
基金项目:国家自然科学基金 , 国家高技术研究发展计划(863计划)
摘    要:在水平曲线坐标和垂向σ坐标的三维海洋模式下,欧拉 拉格朗日方法的插值如果在σ-面相邻网格之间进行,那么在水深变化剧烈处,由于σ-面相邻网格之间的垂向距离较大,插值依据会显得较不合理.所以把插值改在绝对坐标下进行.数值试验表明,改进后的欧拉-拉格朗日方法在水深变化剧烈处比改进前的数值耗散更小、精度更高和表现更合理.

关 键 词:平流项  数值格式  欧拉-拉格朗日方法  插值
文章编号:1000-5641(2006)04-0064-07
收稿时间:2005-03-01
修稿时间:2005-03-01

Numerical Scheme Improvement of the Advection Term in Mass Transport Equation(Chinese)
CHEN Bing-rui,ZHU Jian-rong. Numerical Scheme Improvement of the Advection Term in Mass Transport Equation(Chinese)[J]. Journal of East China Normal University(Natural Science), 2006, 2006(4): 64-70
Authors:CHEN Bing-rui  ZHU Jian-rong
Affiliation:State Key Laboratory of Estuarine and Coastal Research, East China Normal University, Shanghai 200062, China
Abstract:In a three-dimensional ocean model with curvilinear coordinates horizontally and σ coordinate vertically, the adapted grids at σ layer for interpolation in the Eulerian-Lagrangian Method (ELM) is unreasonable over steep topography, because the vertical distance between the adjacent grids in the same σ layer is too large. So this paper proposed that the interpolation is taken in absolute vertical coordinates to improve ELM. Compared with the original ELM, the numerical experiments show that the improved ELM has lower numerical dissipation, higher accuracy, and better performance over steep topography.
Keywords:advection term   numerical scheme   Eulerian-Lagrangian Method   interpolation
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