Abstract
A parallel algorithm for numerical solution of the mixed problem for heat transport with discontinuous coefficients is presented. The problem is motivated by simulation of heat conductivity in a composite object, when it is heated by the electric current passing through one relatively thin layer. The object is considered to be a cryogenic cell pulse (in the millisecond range) feeding the working gases into some source of highly charged ions. Results are reported for a common configuration of the cell.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
Guangwei, Y., Zhiqiang, S., Xudeng, H.: The unconditional stability of parallel difference schemes with second order convergence for nonlinear parabolic system. J. Partial Diff. Eqs. 20, 45–64 (2007)
Hayryan, E.A., Vabishchevich, P.N., Pavlus, M., Fedorov, A.V.: Additive difference schemes for filtration problems in multilayer systems. Matem. Mod. 13(10), 91–102 (2001)
Kalitkin, N.N.: Numerical Methods, Calculus of Approximations. Nauka, Moscow (1978)
Li, N., Steiner, J., Tang, S.: Convergence and stability analysis off an explicit difference method for 2-dimensional reaction-diffusion equations. J. Austral. Math. Soc. Ser. B 36, 234–241 (1994)
National Institute Of Standards And Technology, http://www.nist.com
Purcz, P.: Parallel Algorithm for Spatially One- and Two-dimensional Initial-boundary-value Problem for a parabolic equation. Kybernetika 37(2), 171–181 (2001)
Samarsky, A.A.: The Theory of Difference Schemes. Marcel Dekker Inc., New York (2001)
Samarskii, A.A., Vabishchevich, P.N.: Computational heat transfer. Mathematical Modelling, vol. 1. John Wiley & Sons Ltd., Chichester (1995)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2012 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Ayriyan, A., Ayryan, E.A., Donets, E., Pribiš, J. (2012). Numerical Simulation of Heat Conductivity in Composite Object with Cylindrical Symmetry. In: Adam, G., Buša, J., Hnatič, M. (eds) Mathematical Modeling and Computational Science. MMCP 2011. Lecture Notes in Computer Science, vol 7125. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-28212-6_31
Download citation
DOI: https://doi.org/10.1007/978-3-642-28212-6_31
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-28211-9
Online ISBN: 978-3-642-28212-6
eBook Packages: Computer ScienceComputer Science (R0)