On the crest factor and its relevance in detecting turbulent behaviour in solutions of partial differential equations-Reference-Cited by-同舟云学术

On the crest factor and its relevance in detecting turbulent behaviour in solutions of partial differential equations

Published:2022 Issue:8 Volume:19 Page:8273-8287
ISSN:1551-0018
Container-title:Mathematical Biosciences and Engineering
language:
Short-container-title:MBE

Author:

Bartuccelli Michele V¹,Gentile Guido²

Affiliation:

1. Department of Mathematics, University of Surrey, Guildford, GU2 7XH, UK

2. Dipartimento di Matematica e Fisica, Università Roma Tre, Roma, I-00146, Italy

Abstract

<abstract><p>In this work we investigate the connection between two fundamental features of solutions of partial differential equations (PDEs), namely the crest factor and the length scale associated to each solution. We illustrate how the crest factor of solutions of some linear and non-linear PDEs, including the incompressible two-dimensional Navier-Stokes equations, has the capability for detecting turbulent and non-turbulent behaviour.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

Applied Mathematics,Computational Mathematics,General Agricultural and Biological Sciences,Modeling and Simulation,General Medicine

Reference33 articles.

1. P. Voke, L. Kleiser, J. P. Chollet, Direct and Large-Eddy Simulation I: Selected papers from the First ERCOFTAC Workshop on Direct and Large-Eddy Simulations, The University of Surrey, Guildford, UK, 27-30 March 1994, Springer Science and Business Media, Springer, Dordrecht, 1994. https://doi.org/10.1007/978-94-011-1000-6

2. R. R. Singh, Basic Electrical Engineering, McGraw Hill, Chennai, 2018.

3. M. P. Norton, D. G. Karczub, Fundamentals of Noise and Vibration Analysis for Engineers, Cambridge University Press, Cambridge, 2003. https://doi.org/10.1017/CBO9781139163927

4. M. Chasin, Musicians and Hearing Aids. A Clinical Approach, Plural Publishing, San Diego, 2022.

5. M. J. Griffin, Handbook of Human Vibration, Academic Press, London, 1990.