Energy balance and scale truncation of the approximate deconvolution with correction

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-10-03 DOI:10.1016/j.jmaa.2024.128929

Alexander E. Labovsky

引用次数: 0

Abstract

We present the similarity theory of Approximate Deconvolution with Correction (ADC) - a member of the recently proposed family of turbulence models called LES-C. This model stems from a combination of a well-known Approximate Deconvolution Model (ADM) with a defect correction procedure. We derive the energy equality for the ADC in a way that highlights the enhanced accuracy of the ADC, as compared to the ADM. Using the proposed definitions of the ADC energy and dissipation rates, we investigate the energy cascade of the ADC; we show that it correctly predicts the energy cascade in the inertial range, and acts to dissipate the small scales at a higher rate than the ADM. The micro-scale of the ADC is then found; we prove it to be larger than the micro-scale of the ADM, which also explains the previously established efficiency of the ADC.

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修正近似解卷积的能量平衡和尺度截断

我们介绍了带校正的近似解卷积（ADC）的相似性理论--ADC 是最近提出的湍流模型系列 LES-C 的一个成员。该模型源于著名的近似解卷积模型（ADM）与缺陷校正程序的结合。我们在推导 ADC 的能量等式时，强调了 ADC 比 ADM 更高的精度。利用所提出的 ADC 能量和耗散率定义，我们对 ADC 的能量级联进行了研究；结果表明，它能正确预测惯性范围内的能量级联，并能以比 ADM 更高的速率耗散小尺度能量。然后，我们找到了 ADC 的微尺度；我们证明它比 ADM 的微尺度大，这也解释了 ADC 先前建立的效率。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.