TY - GEN
T1 - Numerical heat transfer. Generalization of temporary temperature field correction method
AU - Mochnacki, Bohdan
AU - Majchrzak, Ewa
PY - 2012
Y1 - 2012
N2 - The paper concerns the problems of numerical solution of non-linear Fourier equation describing the transient heat conduction. In particular, the non-linearities resulting from temperature-dependent thermophysical parameters (volumetric specific heat and thermal conductivity) are considered. The basic problems presented in this paper are connected with the possibilities of artificial linearization of the task discussed (at the stage of numerical computations), in other words the methods of linear problem solution rebuilding on the solution of non-linear one are shown. The procedures discussed can be a very effective supplement for different variants of the boundary element method which, as a rule, requires a linear form of energy equation. In the paper the generalization of alternating phase truncation method (APTM), the artificial heat source method, the temporary temperature field correction method and its generalization are presented. In the final part the examples of numerical simulations are also shown.
AB - The paper concerns the problems of numerical solution of non-linear Fourier equation describing the transient heat conduction. In particular, the non-linearities resulting from temperature-dependent thermophysical parameters (volumetric specific heat and thermal conductivity) are considered. The basic problems presented in this paper are connected with the possibilities of artificial linearization of the task discussed (at the stage of numerical computations), in other words the methods of linear problem solution rebuilding on the solution of non-linear one are shown. The procedures discussed can be a very effective supplement for different variants of the boundary element method which, as a rule, requires a linear form of energy equation. In the paper the generalization of alternating phase truncation method (APTM), the artificial heat source method, the temporary temperature field correction method and its generalization are presented. In the final part the examples of numerical simulations are also shown.
KW - Computer simulation
KW - Modeling of heat conduction
KW - Non-linear problems
UR - https://www.scopus.com/pages/publications/84871629018
M3 - Conference contribution
AN - SCOPUS:84871629018
SN - 9783950353709
T3 - ECCOMAS 2012 - European Congress on Computational Methods in Applied Sciences and Engineering, e-Book Full Papers
SP - 1480
EP - 1493
BT - ECCOMAS 2012 - European Congress on Computational Methods in Applied Sciences and Engineering, e-Book Full Papers
T2 - 6th European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS 2012
Y2 - 10 September 2012 through 14 September 2012
ER -