理性亚格子建模的实践与反思

doi:10.19596/j.cnki.1001-246x.7800

摘要/Abstract

摘要： 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.

关键词: 亚格子建模, 大涡模拟, 理性建模, 柯氏方程, 数学兼容性

Abstract: Subgrid-scale modeling is spirit of large-eddy simulation. Original intention of rational subgrid-scale modeling is to remove empirical and phenomenological components of modeling process, so that every step in modeling process is physically and mathematically traceable. According to theory of rational subgrid modeling, we developed a series of subgrid models that do not depend on empirical constants and phenomenological models, but their effect in practical problems is still insufficient, which leads to, in recent years, reflection on proper idea of subgrid modeling. This paper reviews existing research and new progress, whose goal is to give a rational and self-consistent theoretical guidance of future large eddy simulation.

Key words: subgrid-scale modeling, large-eddy simulation, rational modeling, Kolmogorov equation, mathematical criterions on compatibility

中图分类号:

O357.5

方乐, 王楚涵. 理性亚格子建模的实践与反思[J]. 计算物理, 2018, 35(3): 253-261.

FANG Le, WANG Chuhan. Practices and Advances on Rational Subgrid-Scale Modeling[J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 2018, 35(3): 253-261.

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