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KIAM Preprint  13, Moscow, 2018
Authors: Gasilov V. A., Krukovskiy A. Y., Poveschenko Y. A., Tsygvintsev I.P.
Homogeneous difference schemes for solving conjugate problems of hydrodynamics and elasticity
Abstract:
In the preprint we consider various finite-difference approximations of elastic forces in the equations of an ideal fluid hydrodynamics. We construct completely conservative finite-difference schemes for full strain tensor and for approach with the separation of the hydrodynamic pressure. The question of the nonlinear terms in the strain tensor influence on the invariance of results under rotation is discussed.
Keywords:
finite-difference scheme, strain tensor, support-operator method
Publication language: russian,  pages: 17
Research direction:
Mathematical problems and theory of numerical methods
Russian source text:
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About authors:
  • Gasilov Vladimir Anatolievich,  orcid.org/0000-0001-7574-4061KIAM RAS
  • Krukovskiy Alexander Yurevich,  orcid.org/0000-0003-4188-6904KIAM RAS
  • Poveschenko Yuri Andreevich,  orcid.org/0000-0001-9211-9057KIAM RAS
  • Tsygvintsev Ilia Pavlovich,  orcid.org/0000-0003-2184-8695KIAM RAS