CREATION AND EVALUATION OF THE STRUCTURES GRID IN CURVILINEAR AREAS
Temirbekova L.N. Malgazhdarov E.A.
2021al-Farabi Kazakh State National University
KazNU Bulletin. Mathematics, Mechanics, Computer Science Series
2021#111Issue 3122 - 131 pp.
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.
alternating direction method , curved mesh , curvilinear area , difference schemes , numerical solution , partial differential equations , sweep method
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Abai Kazakh National Pedagogical University, Almaty, Kazakhstan
S. Amanzholov East Kazakhstan University, Ust-Kamenogorsk, Kazakhstan
Abai Kazakh National Pedagogical University
S. Amanzholov East Kazakhstan University
10 лет помогаем публиковать статьи Международный издатель
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