Simulation of Thermoelastic Wave Propagation by Means of a Composite Wave-Propagation Algorithm

Journal of Computational Physics

Volumn 168, Issue 1, 2001, Pages 249-264

  Berezovski, A ^a   Maugin, G A ^b  

^a TALLINN UNIVERSITY OF TECHNOLOGY   (Estonia)

^b INSTITUT JEAN LE ROND D ALEMBERT   (France)

Author keywords

Composite schemes; Discrete systems; Finite volume methods; Thermoelastic waves

Indexed keywords

ELASTIC WAVES; HEAT CONDUCTION; THERMOELASTICITY; WAVE PROPAGATION;

COMPOSITE SCHEMES; DISCRETE SYSTEMS; FINITE VOLUME SCHEMES; FINITE-VOLUME METHOD; SOURCE TERMS; THERMO-ELASTIC WAVE PROPAGATION; THERMOELASTIC WAVES; TWO-DIMENSIONAL; WAVE PROPAGATION ALGORITHM; WAVE PROPAGATION IN INHOMOGENEOUS MEDIAS;

FINITE VOLUME METHOD;

EID: 0009867948     PISSN: 00219991     EISSN: None     Source Type: Journal    
DOI: 10.1006/jcph.2001.6697     Document Type: Article

References (12)

1. R. J. LeVeque, Wave propagation algorithms for multidimensional hyperbolic systems, J. Comput. Phys. 131, 327 (1997).
2. T. R. Fogarty and R. J. LeVeque, High-resolution finite volume methods for acoustic waves in periodic and random media, J. Acoust. Soc. Am. 106, 17 (1999).
3. R. Liska and B. Wendroff, Composite schemes for conservation laws, SIAM J. Numer. Anal. 35, 2250 (1998).
4. R. J. LeVeque, Balancing source terms and flux gradients in high-resolution Godunov methods: The quasi-steady wave-propagation algorithm, J. Comput. Phys. 148, 346 (1998).
5. W. Nowacki, Thermoelasticity (Pergamon-PWN, Oxford-Warszawa, 1962).
6. G. A. Maugin and A. Berezovski, Material formulation of finite-strain thermoelasticity and applications, J. Thermal Stresses 22, 421 (1999).
7. W. Schottky, Thermodynamik (Springer-Verlag, Berlin, 1961).
8. W. Muschik, Fundamentals of non-equilibrium thermodynamics, in Non-Equilibrium Thermodynamics with Applications to Solids, edited by W. Muschik (Springer-Verlag, Wien, 1993), p. 1.
9. A. Berezovski, Continuous cellular automata for simulation of thermoelasticity, Proc. of the Estonian Acad. of Sci., Phys., Math. 46, 5 (1997).
10. G. A. Maugin, Thermomechanics of Plasticity and Fracture (Cambridge Univ. Press, Cambridge, UK, 1992).
11. P. D. Lax and B. Wendroff, Difference schemes for hyperbolic equations with high order of accuracy, Comm. Pure Appl. Math. 18, 381 (1964).
12. A. Berezovski, Simulation of non-linear heat conduction by means of thermodynamic-based algorithm, Int. J. Numer. Meth. Heat Fluid Flows 7, 711 (1997).