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Tytuł artykułu

The stochastic perturbation - based finite volume method for 1 & 2D fluid and heat flow problems

Identyfikatory
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
This article is devoted to the mathematical formulation and computational implementation of the Stochastic Finite Volume Method for 1 and 2D fluid and heat flow problems. It is based on the stochastic generalized perturbation technique, which allows for a determination of the probabilistic moments of the state variables or functions for the general stationary transport equations with random parameters. Both numerical case studies contain a comparison of the stochastic perturbation approach of different orders, their relations to the Monte-Carlo simulation results as well as the effect of the perturbation parameter and input coefficient of variation on the output state functions.
Rocznik
Strony
151--173
Opis fizyczny
Bibliogr. 10 poz.
Twórcy
autor
  • Department of Steel Structures, Technical University of Łódź, Al Politechniki 6, 90-924 Łódź, Poland
Bibliografia
  • [1] Bijelonja, I., Demirdzic, I. and Muzaferija, S.: A finite volume method for incompressible linear elasticity, Computer Methods in Applied Mechanics and Engineering, 195, 6378-6390, 2006.
  • [2] Carlsaw, H.S. and Jaeger, J.C.: Conduction of Heat in Solids, Oxford Sci. Pub., Clarendon Press, Oxford, 1986.
  • [3] Cueto-Felgueroso, L., Colominas, I., Nogueira, X. and Casteleiro, M.: Finite volume solvers and Moving Least-Squares approximations for the compressible Navier-Stokes equations on unstructured grids, Computer Methods in Applied Mechanics and Engineering, 196, 4712-4736, 2007.
  • [4] Durany, J., Pereira, J. and Varas, F.: A cell-vertex finite volume method for thermohydrodynamic problems in lubrication theory, Computer Methods in Applied Mechanics and Engineering, 195, 5949-5961, 2006.
  • [5] Ghanem, R.G. and Spanos, P.D.: Stochastic Finite Elements. A Spectral Approach, Dover Publ. Inc., New York, 2002.
  • [6] Kamiński, M.: On generalized stochastic perturbation-based finite element method, Communications in Numerical Methods in Engineering, 22, 23-31, 2006.
  • [7] Kamiński, M. and Ossowski, R.: An introduction to the perturbation-based stochastic finite volume method for plane heat conduction problems, Proceedings of the 12th WSEAS international conference on Computers, p. 1032-1038,23-25, Heraklion, Greece, 2008.
  • [8] Kleiber, M. and Hien, T. D.: The Stochastic Finite Element Method, Wiley, Chichester , 1992.
  • [9] Schafer, M.: Computational Engineering - Introduction to Numerical Methods, Springer Verlag, Berlin, 2006.
  • [10] Xiu, D.: Efficient collocational approach for parametric uncertainty analysis, Comm. Comput. Phys., 2, 2, 293-309, 2007.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-LOD9-0023-0009
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