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An efficient targeted ENO scheme with local adaptive dissipation for compressible flow simulation
Journal of Computational Physics ( IF 4.1 ) Pub Date : 2020-10-09 , DOI: 10.1016/j.jcp.2020.109902
Jun Peng , Shengping Liu , Shiyao Li , Ke Zhang , Yiqing Shen

High fidelity numerical simulation of compressible flow requires the numerical method being used to have both stable shock-capturing capability and high spectral resolution. Recently, a family of Targeted Essentially Non-Oscillatory (TENO) schemes is developed to fulfill such requirements. Although TENO has very low dissipation for smooth flow, it introduces a cutoff value CT to maintain the non-oscillatory shock-capturing property. As CT actually controls the dissipation property of TENO, the choice of CT for better shock-capturing capability also means higher dissipation for small structures. To overcome this, in this paper, a new local adaptive method is proposed for the choice of CT. By introducing a novel adaptive function based on the WENO smoothness indicators, CT is dynamically adjusted from 1.0×1010 for lower dissipation to 1.0×104 for stable capturing of shock according to the smoothness of the reconstruction stencil. The numerical results of the new method are compared with those of the original TENO method and an adaptive TENO method in Fu et al. (2019) [49]. It reveals that the new method is capable of suppressing numerical oscillations near discontinuities while further improving the resolution of TENO at a low extra computational cost.



中文翻译:

具有局部自适应耗散的有效目标ENO方案用于可压缩流模拟

可压缩流的高保真度数值模​​拟要求使用数值方法来具有稳定的震荡捕获能力和高频谱分辨率。最近,开发了一系列有针对性的基本非振荡(TENO)方案来满足此类要求。尽管TENO具有很低的耗散量,可实现平稳流动,但会引入截止值CŤ保持非振荡的震撼性。如CŤ 实际上控制了TENO的耗散特性, CŤ更好的抗震能力还意味着小型结构的耗散更大。为了克服这个问题,本文提出了一种新的局部自适应方法来选择。CŤ。通过引入基于WENO平滑度指标的新型自适应功能,CŤ 从动态调整 1.0×10-10 降低功耗 1.0×10-4根据重建模具的平滑度稳定地捕获震动。Fu等人将新方法的数值结果与原始TENO方法和自适应TENO方法的数值结果进行了比较。(2019)[49]。结果表明,该新方法能够抑制不连续点附近的数值振荡,同时以较低的额外计算成本进一步提高了TENO的分辨率。

更新日期:2020-10-30
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