CREATION AND EVALUATION OF THE STRUCTURES GRID IN CURVILINEAR AREAS
The article concerns methods of a structural curvilinear grid constructing in areas of geometrically complex shape and its evaluation from the quality point of view. Equidistribution methods based on differential equations were used to construct the grid at the boundary and inside the region. The nu...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Al-Farabi Kazakh National University
2021-09-01
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| Series: | Вестник КазНУ. Серия математика, механика, информатика |
| Subjects: | |
| Online Access: | https://bm.kaznu.kz/index.php/kaznu/article/view/945/625 |
| _version_ | 1811176262466535424 |
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| author | L. N. Temirbekova E. A. Malgazhdarov |
| author_facet | L. N. Temirbekova E. A. Malgazhdarov |
| author_sort | L. N. Temirbekova |
| collection | DOAJ |
| description | The article concerns methods of a structural curvilinear grid constructing in areas of geometrically complex shape and its evaluation from the quality point of view. Equidistribution methods based on differential equations were used to construct the grid at the boundary and inside the region. The numerical solution of differential equations was realized by the finite difference method. For the problems of uniform arrangement of grid nodes on the boundary and for the problems of constructing curved grids inside the region, implicit difference schemes were constructed and methods of scalar sweep and alternating directions were used. The results of numerical calculations are obtained and graphs of curved grids are presented for different numbers of grid nodes. The quality of the grid was studied according to four criteria such as orthogonality, elongation, convexity and adaptability, which corresponds to the division of the considered area into equal subdomains, i.e. cells. |
| first_indexed | 2024-04-10T19:50:16Z |
| format | Article |
| id | doaj.art-11e88939543b4bf3ad95ec6b7a449d5f |
| institution | Directory Open Access Journal |
| issn | 1563-0277 2617-4871 |
| language | English |
| last_indexed | 2024-04-10T19:50:16Z |
| publishDate | 2021-09-01 |
| publisher | Al-Farabi Kazakh National University |
| record_format | Article |
| series | Вестник КазНУ. Серия математика, механика, информатика |
| spelling | doaj.art-11e88939543b4bf3ad95ec6b7a449d5f2023-01-28T08:26:00ZengAl-Farabi Kazakh National UniversityВестник КазНУ. Серия математика, механика, информатика1563-02772617-48712021-09-011113122131https://doi.org/10.26577/JMMCS.2021.v111.i3.10CREATION AND EVALUATION OF THE STRUCTURES GRID IN CURVILINEAR AREASL. N. Temirbekova0E. A. Malgazhdarov1Kazakh national pedagogical university named after Abai, Kazakhstan, AlmatyS. Amanzholov East Kazakhstan University, Kazakhstan, Ust-KamenogorskThe article concerns methods of a structural curvilinear grid constructing in areas of geometrically complex shape and its evaluation from the quality point of view. Equidistribution methods based on differential equations were used to construct the grid at the boundary and inside the region. The numerical solution of differential equations was realized by the finite difference method. For the problems of uniform arrangement of grid nodes on the boundary and for the problems of constructing curved grids inside the region, implicit difference schemes were constructed and methods of scalar sweep and alternating directions were used. The results of numerical calculations are obtained and graphs of curved grids are presented for different numbers of grid nodes. The quality of the grid was studied according to four criteria such as orthogonality, elongation, convexity and adaptability, which corresponds to the division of the considered area into equal subdomains, i.e. cells.https://bm.kaznu.kz/index.php/kaznu/article/view/945/625numerical solutioncurvilinear areasweep methodalternating direction methodpartial differential equationscurved meshdifference schemes |
| spellingShingle | L. N. Temirbekova E. A. Malgazhdarov CREATION AND EVALUATION OF THE STRUCTURES GRID IN CURVILINEAR AREAS Вестник КазНУ. Серия математика, механика, информатика numerical solution curvilinear area sweep method alternating direction method partial differential equations curved mesh difference schemes |
| title | CREATION AND EVALUATION OF THE STRUCTURES GRID IN CURVILINEAR AREAS |
| title_full | CREATION AND EVALUATION OF THE STRUCTURES GRID IN CURVILINEAR AREAS |
| title_fullStr | CREATION AND EVALUATION OF THE STRUCTURES GRID IN CURVILINEAR AREAS |
| title_full_unstemmed | CREATION AND EVALUATION OF THE STRUCTURES GRID IN CURVILINEAR AREAS |
| title_short | CREATION AND EVALUATION OF THE STRUCTURES GRID IN CURVILINEAR AREAS |
| title_sort | creation and evaluation of the structures grid in curvilinear areas |
| topic | numerical solution curvilinear area sweep method alternating direction method partial differential equations curved mesh difference schemes |
| url | https://bm.kaznu.kz/index.php/kaznu/article/view/945/625 |
| work_keys_str_mv | AT lntemirbekova creationandevaluationofthestructuresgridincurvilinearareas AT eamalgazhdarov creationandevaluationofthestructuresgridincurvilinearareas |