Temat: zagadnienie Stefana - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: Numerical scheme for one phase 1D fractional Stefan problem using the similarity variable technique
Autorzy:: Błasik, M.
Powiązania:: https://bibliotekanauki.pl/articles/122307.pdf
Data publikacji:: 2014
Wydawca:: Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:: Stefan problem
anomalous diffusion
fractional derivative
finite difference method
zagadnienie Stefana
dyfuzja anomalna
pochodna ułamkowa
metoda różnic skończonych
Opis:: In this paper we present a numerical method to solve a one-dimensional, one-phase extended Stefan problem with fractional time derivative described in the Caputo sense. The proposed method is based on applying a similarity variable for the anomalous-diffusion equation and the finite difference method. In the final part, examples of numerical results are discussed.
Źródło:: Journal of Applied Mathematics and Computational Mechanics; 2014, 13, 1; 13-21
2299-9965
Pojawia się w:: Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 2.

Tytuł:: Effect of Mesh Quality on the Numerical Solution of the Solidification of Pure Metal
Autorzy:: Skrzypczak, T.
Węgrzyn-Skrzypczak, E.
Powiązania:: https://bibliotekanauki.pl/articles/381672.pdf
Data publikacji:: 2013
Wydawca:: Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:: solidification process
information technology
foundry industry
pure metal
Stefan problem
finite element method
krzepnięcie stopu
technologia informatyczna
przemysł odlewniczy
metal czysty
zagadnienie Stefana
metoda elementów skończonych
Opis:: The paper presents a method of mathematical and numerical modelling of directional solidification process of pure metal in the two-dimensional region. In this case, the thermal conditions associated with the process favours the occurrence of sharp solidification front. The mathematical description of the process is based on the Stefan formulation with appropriate continuity conditions on the solid-liquid interface. The numerical model is based on the finite element method (FEM). The calculations were made on a fixed mesh with diffused solidification front to avoid the difficulties associated with the discontinuity. Temporary position of the interface was calculated with the use of the level set method (LSM). Effect of the quality of the spatial discretization on the accuracy of numerical solution was investigated. Obtained results of the temporary front position were compared with the analytical solution. The correlation between the quality of the spatial discretization and the accuracy of the results was observed. Methods used in the work had significant impact on the computation time and helped avoid the explicit consideration of discontinuity of heat flux on the front.
Źródło:: Archives of Foundry Engineering; 2013, 13, 2 spec.; 89-92
1897-3310
2299-2944
Pojawia się w:: Archives of Foundry Engineering
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 3.

Tytuł:: Identification of the heat transfer coefficient in phase change problems
Autorzy:: Słota, D.
Powiązania:: https://bibliotekanauki.pl/articles/240218.pdf
Data publikacji:: 2010
Wydawca:: Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:: krzepnięcie
odwrotne zagadnienie Stefana
Inverse Stefan problem
solidification
Opis:: In this paper, an algorithm will be presented that enables solving the two-phase inverse Stefan problem, where the additional information consists of temperature measurements in selected points of the solid phase. The problem consists in the reconstruction of the function describing the heat transfer coefficient, so that the temperature in the given points of the solid phase would differ as little as possible from the predefined values. The featured examples of calculations show a very good approximation of the exact solution and stability of the algorithm.
Źródło:: Archives of Thermodynamics; 2010, 31, 1; 61-78
1231-0956
2083-6023
Pojawia się w:: Archives of Thermodynamics
Dostawca treści:: Biblioteka Nauki

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