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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
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.
finite-difference scheme, strain tensor, support-operator method
Publication language: russian,  pages: 17
Research direction:
Mathematical problems and theory of numerical methods
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About authors:
  • Gasilov Vladimir Anatolievich, RAS
  • Krukovskiy Alexander Yurevich, RAS
  • Poveschenko Yuri Andreevich, RAS
  • Tsygvintsev Ilia Pavlovich, RAS