Electrosurgery aimed at the removal of tumors results in highly transient heat conduction. Simulations of temperature fields, under the assumption that heat in soft tissue organs is governed by a telegraph (damped hyperbolic) equation, are conducted in a two-dimensional setting with finite differencing in space and time. Six trajectories of a heat source motion are simulated: along a two-phase interface, along the latter with an offset, normal to a two-phase interface, on a curved (sine function) path in a single phase, along a circular path in a single phase, and along the latter around inclusion of one type in a matrix of another type. With the surgeon’s hand motion velocity roughly the order of magnitude greater than the velocity of the heat propagation in the tissue, the heat source motion is supersonic, giving rise to the multiscale phenomena—evolving shock waves, Mach wedges, and high-temperature concentrations.

Original languageEnglish (US)
Pages (from-to)79-87
Number of pages9
JournalInternational Journal for Multiscale Computational Engineering
Issue number6
StatePublished - 2022


  • Mach wedge
  • electrosurgery
  • shock wave
  • telegraph equation

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Computational Mechanics
  • Computer Networks and Communications


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