Realization of an Adaptation Criterion in Grid Generation Technology for Constructions Bounded by Surfaces of Revolution with Parallel Axes of Revolution(1)

Ushakova O. V.

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Realization of an Adaptation Criterion in Grid Generation Technology for Constructions Bounded by Surfaces of Revolution with Parallel Axes of Revolution(1)

机译：Realization of an Adaptation Criterion in Grid Generation Technology for Constructions Bounded by Surfaces of Revolution with Parallel Axes of Revolution(1)

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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.

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《Numerical analysis and applications》 |2023年第1期|74-78|共5页
作者
Ushakova O. V.;
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Russian Acad Sci;

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正文语种英语
中图分类应用数学;
关键词
adaptation criterion; technology of grid generation; domains bounded by surfaces of revolution with parallel axes of revolution;

Realization of an Adaptation Criterion in Grid Generation Technology for Constructions Bounded by Surfaces of Revolution with Parallel Axes of Revolution(1)

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