Lobachevskii Journal of Mathematics

, Volume 40, Issue 11, pp 1848–1852 | Cite as

Approximate Methods of the Surface Mesh Deformation in Two-dimensional Case

  • A. A. RybakovEmail author
  • S. S. ShumilinEmail author


Numerical simulation of the surface ice accretion includes the work of various solvers that are performed iteratively and exchange data with each other. The calculation execution chain consists of the work of the gas-dynamic solver, the calculation of the liquid phase, the calculation of the thickness of the accreted ice on the surface grid and the rebuilding of the surface. After rebuilding is done, the modelling process goes to the next iteration in the gas-dynamic solver. Thus, the performance of a qualitative rebuilding of the surface computational grid taking into account the accumulated ice affects all further calculations. The article discusses approximate methods of rebuilding the surface mesh according to the ice accretion in each cell for the two-dimensional case and estimates their accuracy.

Keywords and phrases

mesh deformation displaced areas gradient descent 


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The work was done at the JSCC RAS as part of the state assignment for the topic 0065-2019-0016 (reg. no. AAAA-A19-119011590098-8). The supercomputer MVS-10P, located at the JSCC RAS, was used for calculations during the research.


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Copyright information

© Pleiades Publishing, Ltd. 2019

Authors and Affiliations

  1. 1.Joint Supercomputer Center of the Russian Academy of Sciences (JSCC RAS)Branch of Scientific Research Institute of System Analysis of the Russian Academy of SciencesMoscowRussia

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