Numerical modelling of thermal waves via internal state variable approach

Authors

  • Czesław Bajer Institute of Fundamental Technological Research Polish Academy of Sciences
    Poland
  • Witold Kosiński Institute of Fundamental Technological Research Polish Academy of Sciences
    Poland

Abstract

Numerical solutions by means of the space-time finite element method to initial-boundary value problems for a hyperbolic model of heat conduction, are obtained. The heat conduction description is based on a concept a rigid conductor with a scalar internal state variable, that leads to a modified Fourier law. The obtained results are compared with existing experimental data know for semi-conductor crystals at low temperature.

References

[1] J.H . Argyris, D.W. Scharpf. Finite elements in time and space. Aeron. J. Roy. Aeron. Soc. , 73: 1041-1044, 1969.
[2] J.R. Argyris, D.W. Scharpf. Finite elements in space and time. Nucl. Engng. Design, 10: 456-469, 1969.
[3] J.R. Argyris, A.S.L. Chan. Application of the finite elements in space and time. Ing. Archiv, 41: 235- 257, 1972.
[4] C.I. Bajer. Triangular and tetrahedral space- time finite elements in vibration analysis. Int. J. Numer. Meth. Engng., 23: 2031-2048, 1986.
[5] C.I. Bajer. Notes on the stability of non-rectangular space-time finite elements. Int. J. Numer. Meth. Engng., 24: 1721- 1739, 1987.

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Published

2023-07-17

Issue

Vol. 2 No. 4 (1995)
pp. 307-319

Section

Articles

License

Copyright © The Author(s).

This work is licensed under the Creative Commons Attribution 4.0 International CC BY 4.0.

How to Cite

Bajer, C., & Kosiński, W. (2023). Numerical modelling of thermal waves via internal state variable approach. Computer Assisted Methods in Engineering and Science, 2(4), 307-319. https://cames3.ippt.pan.pl/index.php/cames/article/view/1469