An introduction to the perturbation-based stochastic finite volume method for plane heat conduction problems

  • Authors:

  • Marcin Kaminski;Rafał Leszek Ossowski

  • Affiliations:

  • Chair of Mechanics of Materials, Technical University of Łódz, Łódz, Poland;Faculty of Civil Engineering, Architecture and Environmental Engineering, Technical University of Łódz, Łódz, Poland

  • Venue:
  • ICCOMP'08 Proceedings of the 12th WSEAS international conference on Computers
  • Year:
  • 2008

Quantified Score

Hi-index 0.00

Visualization

Abstract

This article refers to the Stochastic Finite Volume Method based on the perturbation technique, which allows a numerical solution of the general stationary transport equations with random parameters. Since the generalized version of the perturbation method is employed here, there are no limitations on the coefficients of variation for the input random variables. A comparison against the traditional Monte-Carlo simulation enables a precise computational validation of this technique. Numerical results obtained for the very elementary example of a plane heat conduction with randomized heat conductivity solved by the Finite Volume Method shows practically no difference between the perturbation and the simulation probabilistic methods.