Mach Fronts in Random Media with Fractal and Hurst Effects

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.

Automated summary

This study investigates transient second sound phenomena caused by moving heat sources on planar random media, modeling spatial material randomness and decoupling fractal and Hurst effects. The Maxwell-Cattaneo model is solved using second-order central differencing, examining stochastic fluctuations of Mach wedges and comparing them to unperturbed Mach wedges. Simulation movies linked to this study illustrate all examined cases.