Turbulence Modeling Using Fractional Derivatives

被引：0

作者：

Szekeres, Bela J. ^{[1
,2
]}

机构：

[1] Eotvos Lorand Univ, Dept Appl Anal & Computat Math, Budapest, Hungary

[2] MTA ELTE Numer Anal & Large Networks Res Grp, Budapest, Hungary

来源：

MATHEMATICAL PROBLEMS IN METEOROLOGICAL MODELLING | 2016年 / 24卷

关键词：

Backward facing step; Fractional derivative; Turbulence; FLOW;

D O I：

10.1007/978-3-319-40157-7_3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We propose a new two-dimensional turbulence model in this work. The main idea of the model is that the shear stresses are considered to be random variables and we assume that their differences with respect to time are Levy-type distributions. This is a generalization of the classical Newton's law of viscosity. We tested the model on the classical Backward Facing Step benchmark problem. The simulation results are in a good accordance with real measurements.

引用

页码：47 / 55

页数：9

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