Space-Time Generalization of R-Function Method (ST-RFM)
Abstract
A generalized, space-time version of the R-function method has been presented. The general structure of the solution for the space-time problem and the algorithm for the determination of the unknown parameters of the structure have been given. The considerations are illustrated by two numerical examples: the first one concerns the cooling of a square plate, while in the second one more complex shape of domain is considered. The numerical solution of the first problem is compared with the solution obtained on the basis of FDM.
References
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[2] R. Grzymkowski. A.Wawrzynek. Non-Classical Approach to the Solution of the Initial Problem in Arbitrary Domain. In: Proc. of the 1st European Conference on Numerical Methods in Engineering, Brussels, 1992.
[3] A. Kapusta, A. Wawrzynek. Application of Rvachev's Function in Numerical Simulation of Moving Boundary Problems. Solidification of Metals and Alloys, 16: 150-158, 1992.
[4] J. Kucwaj , J. Orkisz. Computer approach to the R-functions method of solution of boundary value problems in arbitrary domains. Computers & Structures, 22 (1): 1- 12, 1986.
[5] E. Majchrzak, A. Wawrzynek. Utilization of R-Functions Method in Numerical Modelling of Solidification Process. Computational Mechanics Publications, Vol. 1: Conduction, Radiation and Phase Change, Elsevier Applied Science, London and New York, 1992.
[2] R. Grzymkowski. A.Wawrzynek. Non-Classical Approach to the Solution of the Initial Problem in Arbitrary Domain. In: Proc. of the 1st European Conference on Numerical Methods in Engineering, Brussels, 1992.
[3] A. Kapusta, A. Wawrzynek. Application of Rvachev's Function in Numerical Simulation of Moving Boundary Problems. Solidification of Metals and Alloys, 16: 150-158, 1992.
[4] J. Kucwaj , J. Orkisz. Computer approach to the R-functions method of solution of boundary value problems in arbitrary domains. Computers & Structures, 22 (1): 1- 12, 1986.
[5] E. Majchrzak, A. Wawrzynek. Utilization of R-Functions Method in Numerical Modelling of Solidification Process. Computational Mechanics Publications, Vol. 1: Conduction, Radiation and Phase Change, Elsevier Applied Science, London and New York, 1992.
Published
2023-07-12
Issue
pp. 317-326
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
Wawrzynek, A. (2023). Space-Time Generalization of R-Function Method (ST-RFM). Computer Assisted Methods in Engineering and Science, 3(4), 317-326. https://cames3.ippt.pan.pl/index.php/cames/article/view/1431
