Stabilization of FEM algorithm in application to heat transport equation with convection and internal heat source

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Stabilization of FEM algorithm in application to heat transport equation with convection and internal heat source

Zbigniew Malinowski

AGH University of Science and Technology, al. Adama Mickiewicza 30, 30-059 Kraków.

DOI:

https://doi.org/10.7494/cmms.2001.3.0012

Abstract:

Stability of FEM algorithms in applications to heat transport equation with convection and internal heat source has been investigated in the paper. Various possibilities of modelling of time dependence were tested. The results of computations have shown lack of stability of steady state solutions in case of material flow with high gradients of the velocity field. Tube rolling process is considered as an example. This process involves significant inhomogeneity of velocity field. Stabilization of solutions using upwind finite element schemes does not always leads to satisfactory results, as well. It is caused by high gradient of the velocity field in the tube rolling. Stable results can be obtained using non steady state solutions with convection. It is necessary, however, to use a proper number of elements.

Cite as:

Malinowski, Z. (2001). Stabilization of FEM algorithm in application to heat transport equation with convection and internal heat source. Computer Methods in Materials Science, 1(3-4), 135 – 146. https://doi.org/10.7494/cmms.2001.3.0012

Article (PDF):

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References:

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