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Analysis of magnetohydrodynamic channel flow through complex network analysis.

Avraam Charakopoulos1, Theodoros Karakasidis1, Ioannis Sarris2

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Complex network analysis reveals how magnetic fields alter turbulent flow dynamics. This method quantifies changes in fluid patterns, distinguishing between hydrodynamic and magnetohydrodynamic flows.

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Area of Science:

  • Fluid Dynamics
  • Magnetohydrodynamics (MHD)
  • Complex Networks

Background:

  • Turbulent flows exhibit complex dynamics influenced by various factors.
  • External magnetic fields are known to modify fluid behavior in magnetohydrodynamic systems.
  • Understanding these modifications is crucial for controlling and predicting flow patterns.

Purpose of the Study:

  • To analyze velocity time series of hydrodynamic and magnetohydrodynamic turbulent flows using complex network analysis.
  • To understand the mechanism of fluid pattern modification induced by external magnetic fields.
  • To quantify the impact of magnetic fields on turbulent flow dynamics.

Main Methods:

  • Direct numerical simulations of hydrodynamic and MHD turbulent channel flow.
  • Application of the visibility graph algorithm to transform time series into complex networks.
  • Evaluation of network topological properties to analyze flow dynamics.

Main Results:

  • Complex network analysis successfully identified dynamical transitions, revealing three distinct fluid areas consistent with turbulent flow theory.
  • The method quantified the effect of the magnetic field on time series transitions.
  • Topological measures of networks with and without magnetic fields were statistically different (95% confidence interval).

Conclusions:

  • Complex network analysis is a robust tool for characterizing turbulent flow dynamics.
  • This approach effectively discriminates and quantifies the influence of magnetic fields on turbulent flows.
  • The findings provide insights into the modification of fluid patterns under MHD conditions.