Abstract
Parallel computational algorithms for the modeling of dynamic interaction of elastic blocks through thin viscoelastic interlayers in structurally inhomogeneous media such as rock are worked out. Numerical algorithms are based on monotonous grid- characteristic schemes with the balanced number of time steps in layers and interlayers. The numerical results to demonstrate qualitative characteristics of wave propagation in materials with microstructure are shown.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Sadovskii, M.A.: Natural lumpiness of rocks. DAN USSR 247(4), 829–831 (1979) (in Russian)
Varygina, M.P., Pohabova, M.A., Sadovskaya, O.V., Sadovskii, V.M.: Numerical algorithms for the analysis of elastic wave propagation in block media with thin interlayers. Computational Methods and Programming (12), 435–442 (2011) (in Russian)
Kurlenya, M.V., Oparin, V.N., Vostrikov, V.I.: On generation of elastic wave packages under impulse inducement of block media. Pendulum waves. DAN USSR 333(4), 3–13 (1993) (in Russian)
Aleksandrova, N.I., Chernikov, A.G., Sher, E.N.: Experimental testing of the one-dimensional model of wave propagation in block media. Physical and Technical Problems of Mining (3), 46–55 (2005) (in Russian)
Aleksandrova, N.I., Sher, E.N., Chernikov, A.G.: The impact of viscosity of interlayers on low-frequent pendulum waves propagation in block hierarchical media. Physical and Technical Problems of Mining (3), 3–13 (2008) (in Russian)
Sadovskaya, O., Sadovskii, V.: Mathematical Modeling in Mechanics of Granular Materials. Advanced Structured Materials, vol. 21, p. 390. Springer, Heidelberg (2012)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2013 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Varygina, M. (2013). Numerical Solution of Dynamic Problems in Block Media with Thin Interlayers on Supercomputers with GPUs. In: Dimov, I., Faragó, I., Vulkov, L. (eds) Numerical Analysis and Its Applications. NAA 2012. Lecture Notes in Computer Science, vol 8236. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-41515-9_59
Download citation
DOI: https://doi.org/10.1007/978-3-642-41515-9_59
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-41514-2
Online ISBN: 978-3-642-41515-9
eBook Packages: Computer ScienceComputer Science (R0)