A criterion of orthogonality on the assumption and restrictions in subgrid-scale modelling of turbulence

作者：Fang, L.; Sun, X. Y.; Liu, Y. W.^*

来源：Physics Letters, Section A: General, Atomic and Solid State Physics , 2016, 380(47): 3988-3992.

DOI：10.1016/j.physleta.2016.10.021

• Large-eddy simulation
• Subgrid-scale modelling
• Nonlinear differential equation

In order to shed light on understanding the subgrid-scale (SGS) modelling methodology, we analyze and define the concepts of assumption and restriction in the modelling procedure, then show by a generalized derivation that if there are multiple stationary restrictions in a modelling, the corresponding assumption function must satisfy a criterion of orthogonality. Numerical tests using one-dimensional nonlinear advection equation are performed to validate this criterion. This study is expected to inspire future research on generally guiding the SGS modelling methodology.

• 出版日期2016-12-9
• 单位北京航空航天大学