- Tytuł:
- The correlation between the eigenvalues of global FEM matrix and the size of time step in the numerical solutions of solidification equation
- Autorzy:
- Zych, M.
- Powiązania:
- https://bibliotekanauki.pl/articles/122381.pdf
- Data publikacji:
- 2014
- Wydawca:
- Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
- Tematy:
-
eigenvalues of the matrix
time step
numerical stability
solidification
czas końcowy
stabilność numeryczna
krzepnięcie - Opis:
- In the paper the influence of the eigenvalues of the matrix on the stability of the numerical simulations of binary alloy solidification process was analyzed. One step Θ scheme time integration for the modeling was used. The occurrence of the equation clotting full, diagonal and lumped capacitance matrix was considered. In the explicit schema (conditionally stable) the major influence on the proper selection of the size of the critical time step was proved. The physically incorrect results are given when the maximum allowable time step is exceeded.
- Źródło:
-
Journal of Applied Mathematics and Computational Mechanics; 2014, 13, 3; 201-206
2299-9965 - Pojawia się w:
- Journal of Applied Mathematics and Computational Mechanics
- Dostawca treści:
- Biblioteka Nauki
Artykuł