| 摘要: |
| 为了研究不同TVD格式对内孤立波模拟结果的影响,利用改进后的SUNTANS三维非静压海洋模型,通过理想算例和南海东北部海域内孤立波的模拟,比较分析了求解温盐方程TVD格式的4种经典通量限制函数(superbee, minmod, van Leer和MUSCL)对计算结果的影响。综合理想算例和南海东北部海域模拟结果,在所讨论的4种通量限制函数中,利用MUSCL限制函数所得模拟结果最优,建议在南海东北部海域内孤立波模拟中采用MUSCL限制函数。 |
| 关键词: 内孤立波 非静压模型 TVD 格式 通量限制函数 |
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| 基金项目:天津市自然科学基金重点项目(12JCZDJC30200); 国家自然科学基金创新研究群体科学基金资助项目(51021004) |
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| Effects of TVD schemes on the numerical simulation of the internal solitary wave |
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| Abstract: |
| Based on the modified three-dimensional non-hydrostatic ocean model, SUNTANS, simulation of internal solitary waves is carried out for the idealized case and the northeastern South China Sea to investigate the influence of four flux limiters of TVD (total variance diminishing) scheme on the calculated results. The TVD scheme is used to solve the equations of salinity and temperature, and the considered flux limiters are superbee, minmod, van Leer, and MUSCL limiters. Analysis of the calculated results indicates that MUSCL limiter exhibits the best performance among the four considered limiters. It is recommended to use MUSCL limiter in the numerical simulation of internal solitary waves in the northeastern South China Sea. |
| Key words: internal solitary wave non-hydrostatic model TVD scheme flux limiter |
