Mach Fronts in Random Media with Fractal and Hurst Effects

Junren Ran; Martin Ostoja-Starzewski; Yuriy Povstenko

doi:10.3390/fractalfract5040229

Mach Fronts in Random Media with Fractal and Hurst Effects

Junren Ran, Martin Ostoja-Starzewski, Yuriy Povstenko

Research output: Contribution to journal › Article › peer-review

Abstract

An investigation of transient second sound phenomena due to moving heat sources on planar random media is conducted. The spatial material randomness of the relaxation time is modeled by Cauchy or Dagum random fields allowing for decoupling of fractal and Hurst effects. The Maxwell–Cattaneo model is solved by a second-order central differencing. The resulting stochastic fluctuations of Mach wedges are examined and compared to unperturbed Mach wedges resulting from the heat source traveling in a homogeneous domain. All the examined cases are illustrated by simulation movies linked to this paper.

Original language	English (US)
Article number	229
Journal	Fractal and Fractional
Volume	5
Issue number	4
DOIs	https://doi.org/10.3390/fractalfract5040229
State	Published - Dec 2021

Keywords

Fractal
Hurst effect
Mach front
Random media
Supersonic

ASJC Scopus subject areas

Analysis
Statistical and Nonlinear Physics
Statistics and Probability

Online availability

10.3390/fractalfract5040229

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abstract = "An investigation of transient second sound phenomena due to moving heat sources on planar random media is conducted. The spatial material randomness of the relaxation time is modeled by Cauchy or Dagum random fields allowing for decoupling of fractal and Hurst effects. The Maxwell–Cattaneo model is solved by a second-order central differencing. The resulting stochastic fluctuations of Mach wedges are examined and compared to unperturbed Mach wedges resulting from the heat source traveling in a homogeneous domain. All the examined cases are illustrated by simulation movies linked to this paper.",

keywords = "Fractal, Hurst effect, Mach front, Random media, Supersonic",

author = "Junren Ran and Martin Ostoja-Starzewski and Yuriy Povstenko",

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AU - Povstenko, Yuriy

N1 - Funding Information: Funding: J.R. and M.O.-S. were partially supported by the National Institutes of Health under award number R01EB029766. Funding Information: Acknowledgments: Research reported in this publication was supported in part by the National Institute of Biomedical Imaging and Bioengineering of the National Institutes of Health under award number R01EB029766. The content is solely the responsibility of the authors and does not necessarily represent the official views of the National Institutes of Health. Publisher Copyright: © 2021 by the authors. Licensee MDPI, Basel, Switzerland.

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N2 - An investigation of transient second sound phenomena due to moving heat sources on planar random media is conducted. The spatial material randomness of the relaxation time is modeled by Cauchy or Dagum random fields allowing for decoupling of fractal and Hurst effects. The Maxwell–Cattaneo model is solved by a second-order central differencing. The resulting stochastic fluctuations of Mach wedges are examined and compared to unperturbed Mach wedges resulting from the heat source traveling in a homogeneous domain. All the examined cases are illustrated by simulation movies linked to this paper.

AB - An investigation of transient second sound phenomena due to moving heat sources on planar random media is conducted. The spatial material randomness of the relaxation time is modeled by Cauchy or Dagum random fields allowing for decoupling of fractal and Hurst effects. The Maxwell–Cattaneo model is solved by a second-order central differencing. The resulting stochastic fluctuations of Mach wedges are examined and compared to unperturbed Mach wedges resulting from the heat source traveling in a homogeneous domain. All the examined cases are illustrated by simulation movies linked to this paper.

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KW - Hurst effect

KW - Mach front

KW - Random media

KW - Supersonic

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ER -

Mach Fronts in Random Media with Fractal and Hurst Effects

Abstract

Keywords

ASJC Scopus subject areas

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