Turbulence Modeling Using Fractional Derivatives

Szekeres, Béla János (2016) Turbulence Modeling Using Fractional Derivatives. In: Mathematical Problems in Meteorological Modelling. Matematics in industry (24). Springer, pp. 47-55. ISBN 978-3-319-40155-3 (Print) 978-3-319-40157-7 (Online)


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We propose a new 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 Lévy-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.

Item Type: Book Section
Subjects: Q Science / természettudomány > QA Mathematics / matematika
Q Science / természettudomány > QA Mathematics / matematika > QA76 Computer software / programozás
T Technology / alkalmazott, műszaki tudományok > T2 Technology (General) / műszaki tudományok általában
Depositing User: Béla Szekeres
Date Deposited: 25 Jan 2017 08:12
Last Modified: 25 Jan 2017 08:12

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