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Applying the multistage-multigroup least squares procedure for numerical modelling of unsteady temperature fields

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Języki publikacji
EN
Abstrakty
EN
The paper deals with the numerical modelling of the unsteady temperature fields in the elements of technological systems using data subject to errors. The multistagemultigroup approach to numerical modelling of transient temperature fields is suggested. The internal structure of the matrix of coefficients of the set of constraint equations has been analyzed and simplifications in the adjustment procedure indicated. The method is easy to use in modelling of 2D and 3D transient problems. The efficiency of the presented algorithm enables us to estimate temperature fields using data subject to errors in on-line calculations.
Słowa kluczowe
Rocznik
Strony
399--408
Opis fizyczny
Bibliogr. 11 poz., 4 rys.
Twórcy
autor
autor
  • Institute of Thermal Engineering and Air Protection, Cracow University of Technology; Warszawska 24, 31-155 Kraków, Poland.
Bibliografia
  • [1] S. Brandt, Statistical and computational methods in data analysis, North Holland Publ. Comp., Amsterdam 1970.
  • [2] Z. Kolenda, J. S. Allman, Coordination of energy balances in heat transfer, Bull. Pol. Ac.: Tech., 22 (1974) 33-37.
  • [3] Z. Kolenda, T. Styrylska, J Donizak A. Guzik, Numerical and squares method, FLOWERS Conference, World Energy Research Symposium – Clean Experimental mathematical modelling of heat and mass transfer processes using unified least energy for the New Century, Florence, Italy (1997) 199-210.
  • [4] G. Majcher, T. Styrylska, On multistage optimization problem I, Commentationes Mathematicae XXI, (1979) 163-171.
  • [5] J. Skorek, Applying the stochastic methods for determination of the unsteady temperature fields, Proceedings of the Symposium on The Heat and Mass Transfer, Jabłonna (1986) 231-236.
  • [6] T. Styrylska, Multistage and multigroup adjustment of measurement results (in Polish), Monograph 121, Cracow University of Technology, Cracow (1991).
  • [7] T. Styrylska, A. Guzik, Numerical modelling of unsteady temperature fields using the multistage?multigroup least squares method, Proceedings of the 15th IMACS World Congress on Scientific Computation, Modelling and Applied Mathematics, August 24-29, Germany, vol. 5 – Systems Engineering, Berlin (1997) 773-778.
  • [8] T. Styrylska, A. Guzik, Numerical modelling of temperature fields using the multigroup least squares method, Bull. Pol. Ac.: Tech., 43 (1995) 303-313.
  • [9] T. Styrylska, J. Pietraszek, Numerical modelling of nonsteadystate temperature fields with supplementary data, ZAMM. 2 angew. Math. Mech., 72 (1992) 537-539.
  • [10] J. Szargut (red.), Coordination calculus in thermal engineering fin Polish]. Zakład Narodowy im. Ossolińskich, Wydawnictwo PAN, 1984.
  • [11] J. Szargut, J. Skorek, Influence of the preliminary estimation of unknowns on the results of coordination of material and energy balances, Bull. Pol. Ac.: Tech., 39 (1991) 335-343.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPG5-0002-0064
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