Effect of mass matrix forms on numerical simulations results in heat conduction modeling

• Autorzy: Zych M.

Identyfikatory

DOI

10.17512/jamcm.2015.3.16

• Języki publikacji: EN

Abstrakty

EN

The paper presents an analysis of the impact of the mass matrix on the changes in temperature during the computer simulation (using the method of finite elements) of the heat conduction process. The temperature variations of the phenomenon was taken into consideration, which is required during the solidification simulation of binary alloys. It was shown that the smallest oscillation occurs in the lumped matrices in the initial stage of the simulation. The results for lumped and diagonal matrix are mostly equal.

Słowa kluczowe

EN

heat conduction; temperature changes; matrix

PL

przewodzenie ciepła; zmiany temperatury; macierz

• Wydawca: Wydawnictwo Politechniki Częstochowskiej
• Czasopismo: Journal of Applied Mathematics and Computational Mechanics
• Rocznik: 2015
• Tom: Vol. 14, nr 3
• Strony: 149--156
• Opis fizyczny: Bibliogr. 10 poz., rys.

Twórcy

autor

Zych M.

• Institute of Computer and Information Science, Częstochowa Universisty of Technology Częstochowa, Poland

Bibliografia

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• [6] Shen R. Wu, Lumped mass matrix in explicit finite element method for transient dynamics of elasticity, Comput. Methods Appl. Mech. Engrg. 2006, 195, 5983-5994.
• [7] Wood W.L., Partical Time-setepping Schemes, Clarendon Press, Oxford 1990.
• [8] Gawronska E., Sczygiol N., Numerically Stable Computer Simulation of Solidification: Association Between Eigenvalues of Amplification Matrix and Size of Time Step, Transactions on Engineering Technologies, Springer Netherlands 2015, 17-30.
• [9] Gawronska E., Sczygiol N., Relationship between eigenvalues and size of time step in computer simulation of thermomechanics phenomena, International MultiConference of Engineers and Computer Scientists, IAENG 2014, 12-14 March 2014, Hong Kong, 881-885.
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