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亚格子建模是大涡模拟中的核心问题之一。理性亚格子建模的初衷是为了尽量去除建模过程中的经验和唯象的成分,让建模过程中的每一步都在物理和数学上有迹可循。根据理性亚格子建模的理论已经发展出一系列不依赖经验常数和唯象模型的亚格子模型,但它们在实际问题中的效果却仍有不足,从而引发了近年来对亚格子建模思想本身的反思。本文回顾了已有的研究和新的进展,目标是对未来的大涡模拟给出理性且自洽的理论指导。
Subgrid modeling is one of the core issues in large eddy simulation. The original intention of rational subgrid modeling is to try to remove the modeling process of experience and the elements of the image, so that every step of the modeling process are physically and mathematically traceable. According to the theory of rational subgrid modeling, a series of subgrid models that do not depend on empirical constants and phenomenal models have been developed. However, their effectiveness in practical problems is still inadequate, which has led to the recent development of subgrid modeling ideas Self-reflection. This paper reviews the existing research and new progresses. The goal is to give a rational and consistent theoretical guidance for the future large eddy simulation.