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Compressive properties of Min-mod-type limiters in modelling shockwave-containing flows
Journal of the Brazilian Society of Mechanical Sciences and Engineering ( IF 2.2 ) Pub Date : 2020-05-12 , DOI: 10.1007/s40430-020-02374-7
Guangning Li , Dinesh Bhatia , Jian Wang

The long-ignored compressive properties of Min-mod-type limiter is investigated in this manuscript by demonstrating its potential in numerically modelling shockwave-containing flows, especially in shock wave/boundary layer interaction (SWBLI) problems. Theoretical studies were firstly performed based on Sweby’s total variation diminishing (TVD) limiter region and Spekreijse’s monotonicity-preserving limiter region to indicate Min-mod-type limiters’ compressive properties. The influence of limiters on the solution accuracy was evaluated using a hybrid-order analysis method based on the grid-independent study in three typical shockwave-containing flows. The conclusions are that, Min-mod-type limiter can be utilized as a dissipative and/or compressive limiter, but depending on the reasonable value of the compression parameter. The compressive Min-mod limiter tends to be more attractive in modelling shockwave-containing flows as compared to other commonly preferred limiters because of its stable computational process and its high-resolution predictions. However, the compressive Min-mod limiter may suffer from its slightly poor convergence, as that observed in other commonly accepted smooth limiters in modelling SWBLI problems.



中文翻译:

Min-mod型限制器在模拟含冲击波​​的流动中的压缩特性

通过在数值模拟含冲击波​​的流动中,特别是在冲击波/边界层相互作用(SWBLI)问题中展示其潜力,研究了Min-mod型限幅器长期以来被忽略的压缩特性。首先基于Sweby的总变化减小(TVD)限制器区域和Spekreijse的单调性保持限制器区域进行理论研究,以表明Min-mod型限制器的压缩特性。在基于网格的独立研究的基础上,在三种典型的包含冲击波的流动中,使用混合阶次分析方法评估了限制器对求解精度的影响。结论是,Min-mod型限制器可以用作耗散和/或压缩限制器,但取决于压缩参数的合理值。与其他通常首选的限制器相比,压缩的Min-mod限制器在建模包含冲击波的流动方面趋于吸引人,这是因为其稳定的计算过程和高分辨率的预测。但是,压缩的Min-mod限制器可能会遇到收敛性较差的问题,正如在建模SWBLI问题时在其他普遍接受的平滑限制器中观察到的那样。

更新日期:2020-05-12
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