大涡模拟中亚网格湍流张量的Noll公理和闭包关系的表述

Q3 Engineering

WSEAS Transactions on Fluid Mechanics Pub Date : 2020-03-17 DOI:10.37394/232013.2020.15.8

F. Gallerano, G. Cannata

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引用次数: 3

摘要

本文修正了大涡模拟中材料框架无差别原理的诺尔公式与湍流框架无差别原则之间的关系。Hutter和Joenk提出的材料框架无差别原理和湍流框架无差别原则规定，本构方程和湍流闭合关系必须既满足形式不变性的要求，又满足框架独立性的要求。本文提出了湍流闭合关系形式化的一个新规则。广义SGS湍流应力张量仅与广义SGS湍流动能有关，后者通过其平衡方程和修正的Leonard张量计算。

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Noll’s Axioms and Formulation of the Closure Relations for the Subgrid Turbulent Tensor in Large Eddy Simulation

In this paper, the relation between the Noll formulation of the principle of material frame indifference and the principle of turbulent frame indifference in large eddy simulation, is revised. The principle of material frame indifference and the principle of turbulent frame indifference proposed by Hutter and Joenk imposes that both constitutive equations and turbulent closure relations must respect both the requirement of form invariance, and the requirement of frame independence. In this paper, a new rule for the formalization of turbulent closure relations, is proposed. The generalized SGS turbulent stress tensor is related exclusively to the generalized SGS turbulent kinetic energy, which is calculated by means of its balance equation, and the modified Leonard tensor.

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来源期刊

WSEAS Transactions on Fluid Mechanics Engineering-Computational Mechanics

CiteScore

1.50

自引率

0.00%

发文量

期刊介绍： WSEAS Transactions on Fluid Mechanics publishes original research papers relating to the studying of fluids. We aim to bring important work to a wide international audience and therefore only publish papers of exceptional scientific value that advance our understanding of this particular area. The research presented must transcend the limits of case studies, while both experimental and theoretical studies are accepted. It is a multi-disciplinary journal and therefore its content mirrors the diverse interests and approaches of scholars involved with multiphase flow, boundary layer flow, material properties, wave modelling and related areas. We also welcome scholarly contributions from officials with government agencies, international agencies, and non-governmental organizations.