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Preprints of the Keldysh Institute of Applied Mathematics, 2019, 010, 36 pp.
DOI: https://doi.org/10.20948/prepr-2019-10
(Mi ipmp2648)
 

This article is cited in 3 scientific papers (total in 3 papers)

Difference schemes of support operator method for equations of elasticity with azimuthal rotation

Yu. A. Poveshchenko, A. Yu. Krukovskiy, V. O. Podryga, E. N. Golovchenko
References:
Abstract: In the work, for full displacement vectors and velocities, taking into account the azimuthal rotations, on irregular grids with minimal reasonable restrictions for their topological and geometric structure, the approximations of vector analysis operations in cylindrical geometry were constructed with respect to the difference schemes for elasticity theory problems. Taking into account the energy balance of the medium in the presence of azimuthal rotations, families of integrally consistent approximations of vector analysis operations were made, sufficient for discrete modeling of these processes, with respect to the curvature of space caused by the cylindrical geometry of the system. On $(r,z)$-regular grids with differential rotation along the azimuthal coordinate $\theta$, the difference schemes of the support operator method for the equations of the elasticity theory in displacements were constructed and investigated. The considered approximations retain the properties of divergence, self-adjointness and sign-definiteness of differential operators, and are also applicable for solving nonstationary problems of hydrodynamics with allowance for elastic processes.
Keywords: difference schemes, support operator method, theory of elasticity, cylindrical geometry, azimuthal rotation.
Bibliographic databases:
Document Type: Preprint
Language: Russian
Citation: Yu. A. Poveshchenko, A. Yu. Krukovskiy, V. O. Podryga, E. N. Golovchenko, “Difference schemes of support operator method for equations of elasticity with azimuthal rotation”, Keldysh Institute preprints, 2019, 010, 36 pp.
Citation in format AMSBIB
\Bibitem{PovKruPod19}
\by Yu.~A.~Poveshchenko, A.~Yu.~Krukovskiy, V.~O.~Podryga, E.~N.~Golovchenko
\paper Difference schemes of support operator method for equations of elasticity with azimuthal rotation
\jour Keldysh Institute preprints
\yr 2019
\papernumber 010
\totalpages 36
\mathnet{http://mi.mathnet.ru/ipmp2648}
\crossref{https://doi.org/10.20948/prepr-2019-10}
\elib{https://elibrary.ru/item.asp?id=36832819}
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  • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Препринты Института прикладной математики им. М. В. Келдыша РАН
     
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