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物质输运方程中平流项数值格式的改进
Numerical Scheme Improvement of the Advection Term in Mass Transport Equation
【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.
【Abstract】 In a three-dimensional ocean model with curvilinear coordinates horizontally andσcoordi- nate vertically,the adapted grids atσlayer for interpolation in the Eulerian-Lagrangian Method(ELM) is unreasonable over steep topography,because the vertical distance between the adjacent grids in the sameσlayer is too large.So this paper proposed that the interpolation is taken in absolute vertical co- ordinates 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 to- pography.
【Key words】 advection term; numerical scheme; Eulerian-Lagrangian Method; interpolation;
- 【文献出处】 华东师范大学学报(自然科学版) ,Journal of East China Normal University(Natural Science) , 编辑部邮箱 ,2006年04期
- 【分类号】P731.2
- 【被引频次】4
- 【下载频次】134