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Realization of an Adaptation Criterion in Grid Generation Technology for Constructions Bounded by Surfaces of Revolution with Parallel Axes of Revolution1. / Ushakova, O. V.
In: Numerical Analysis and Applications, Vol. 16, No. 1, 01.03.2023, p. 74-78.

Research output: Contribution to journal › Article › peer-review

Harvard

Ushakova, OV 2023, 'Realization of an Adaptation Criterion in Grid Generation Technology for Constructions Bounded by Surfaces of Revolution with Parallel Axes of Revolution1', Numerical Analysis and Applications, vol. 16, no. 1, pp. 74-78. https://doi.org/10.1134/S199542392301007X

APA

Ushakova, O. V. (2023). Realization of an Adaptation Criterion in Grid Generation Technology for Constructions Bounded by Surfaces of Revolution with Parallel Axes of Revolution1. Numerical Analysis and Applications, 16(1), 74-78. https://doi.org/10.1134/S199542392301007X

Vancouver

Ushakova OV. Realization of an Adaptation Criterion in Grid Generation Technology for Constructions Bounded by Surfaces of Revolution with Parallel Axes of Revolution1. Numerical Analysis and Applications. 2023 Mar 1;16(1):74-78. doi: 10.1134/S199542392301007X

Author

Ushakova, O. V. / Realization of an Adaptation Criterion in Grid Generation Technology for Constructions Bounded by Surfaces of Revolution with Parallel Axes of Revolution1. In: Numerical Analysis and Applications. 2023 ; Vol. 16, No. 1. pp. 74-78.

BibTeX

@article{0df29073c8f349489148b9314f0482fa,
title = "Realization of an Adaptation Criterion in Grid Generation Technology for Constructions Bounded by Surfaces of Revolution with Parallel Axes of Revolution1",
abstract = "Abstract: A realization of an adaptation criterion in the technology of generation of three-dimensional structured grids designed for the numerical solution of differential equations modeling the vortex processes of multi-component hydrodynamics is described. Earlier the adaptation criterion was realized for domains of revolution and domains of revolution deformed by other domains of revolution. The adaptation criterion is realized within a variational approach for the construction of optimal grids satisfying optimality criteria: closeness of the grid to a uniform and orthogonal one and adaptation to a given function. In the realization of the criterion, the technology is supplemented by a new method of boundary nodes computation and an algorithm for the construction of an admissible set for minimization of a discrete functional formalizing the optimality criteria. Examples of grids adapted to a given function and its first derivatives are given. {\textcopyright} 2023, Pleiades Publishing, Ltd.",
author = "Ushakova, {O. V.}",
year = "2023",
month = mar,
day = "1",
doi = "10.1134/S199542392301007X",
language = "English",
volume = "16",
pages = "74--78",
journal = "Numerical Analysis and Applications",
issn = "1995-4239",
publisher = "Maik Nauka-Interperiodica Publishing",
number = "1",

}

RIS

TY - JOUR

T1 - Realization of an Adaptation Criterion in Grid Generation Technology for Constructions Bounded by Surfaces of Revolution with Parallel Axes of Revolution1

AU - Ushakova, O. V.

PY - 2023/3/1

Y1 - 2023/3/1

N2 - Abstract: A realization of an adaptation criterion in the technology of generation of three-dimensional structured grids designed for the numerical solution of differential equations modeling the vortex processes of multi-component hydrodynamics is described. Earlier the adaptation criterion was realized for domains of revolution and domains of revolution deformed by other domains of revolution. The adaptation criterion is realized within a variational approach for the construction of optimal grids satisfying optimality criteria: closeness of the grid to a uniform and orthogonal one and adaptation to a given function. In the realization of the criterion, the technology is supplemented by a new method of boundary nodes computation and an algorithm for the construction of an admissible set for minimization of a discrete functional formalizing the optimality criteria. Examples of grids adapted to a given function and its first derivatives are given. © 2023, Pleiades Publishing, Ltd.

AB - Abstract: A realization of an adaptation criterion in the technology of generation of three-dimensional structured grids designed for the numerical solution of differential equations modeling the vortex processes of multi-component hydrodynamics is described. Earlier the adaptation criterion was realized for domains of revolution and domains of revolution deformed by other domains of revolution. The adaptation criterion is realized within a variational approach for the construction of optimal grids satisfying optimality criteria: closeness of the grid to a uniform and orthogonal one and adaptation to a given function. In the realization of the criterion, the technology is supplemented by a new method of boundary nodes computation and an algorithm for the construction of an admissible set for minimization of a discrete functional formalizing the optimality criteria. Examples of grids adapted to a given function and its first derivatives are given. © 2023, Pleiades Publishing, Ltd.

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U2 - 10.1134/S199542392301007X

DO - 10.1134/S199542392301007X

M3 - Article

VL - 16

SP - 74

EP - 78

JO - Numerical Analysis and Applications

JF - Numerical Analysis and Applications

SN - 1995-4239

IS - 1

ER -

ID: 36236246