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数值耗散
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  numerical dissipation
It has been well studied that the γ-function explicit method can be effective in providing favorable numerical dissipation for linear elastic systems.
      
It is also shown that this integration method provides favorable numerical dissipation not only for linear elastic systems but also for nonlinear systems.
      
Furthermore, the numerical dissipation of the method can be flexibly regulated, so that it is especially suitable for solving various discontinuity problems.
      
For different limiters, the different strength of numerical dissipation and dispersion of schemes is the reason why the schemes show obvious different characteristics.
      
After analysing and comparing the numerical dissipation and dispersion of various schemes, a new kind of limiter is proposed.
      
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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...

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.

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.

 
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