Applicability of the lattice Boltzmann method to determine the ohmic resistance in equivalent resistor connections

Research output: Contribution to journalArticle


Knowing the ohmic resistance in the materials allow to know in advance its electrical behavior when a potential difference is applied, and therefore the prediction of the electrical performance can be achieved in a most certain manner. Although the Lattice Boltzmann method (LBM) has been applied to solve several physical phenomena in complex geometries, it has only been used to describe the fluid phase, but applicability studies of LBM on the solid-electric-conducting material have not been carried out yet. The purpose of this paper is to demonstrate the accuracy of calculating the equivalent resistor connections using LBM. Several series and parallel resistor connections are effected. All the computations are carried out with 3D models, and the domain materials are designed by the authors.


  • Mayken Espinoza-Andaluz
  • Julio Barzola
  • Víctor H. Guarochico-Moreira
  • Martin Andersson
External organisations
  • Escuela Superior Politécnica del Litoral (ESPOL)
  • University of Manchester
  • University of Guayaquil
Research areas and keywords

Subject classification (UKÄ) – MANDATORY

  • Condensed Matter Physics
Original languageEnglish
Article number012019
JournalJournal of Physics: Conference Series
Issue number1
Publication statusPublished - 2017 Dec 1
Publication categoryResearch