Abstract:
An algorithm for constructing initial three-dimensional structured grids for geometrically complicated domains of revolution is described. The algorithm prevents the appearance of degenerate (not hexagonal) cells and cells of small volume around the axis of rotation. Examples of grids constructed by the suggested algorithm are given.
\Bibitem{Bro08}
\by T.~N.~Bronina
\paper An algorithm for constructing initial three-dimensional structured grids for domains of revolution
\serial Trudy Inst. Mat. i Mekh. UrO RAN
\yr 2008
\vol 14
\issue 1
\pages 3--10
\mathnet{http://mi.mathnet.ru/timm2}
\elib{https://elibrary.ru/item.asp?id=11929800}
\transl
\jour Proc. Steklov Inst. Math. (Suppl.)
\yr 2008
\vol 261
\issue , suppl. 1
\pages S36--S43
\crossref{https://doi.org/10.1134/S00815480805004X}
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This publication is cited in the following 11 articles:
O. V. Ushakova, “Realizatsiya kriteriya adaptatsii v tekhnologii postroeniya setok dlya konstruktsii, ogranichennykh poverkhnostyami vrascheniya s parallelnymi osyami vrascheniya”, Sib. zhurn. vychisl. matem., 26:1 (2023), 93–100
O. V. Ushakova, “O razvitii variatsionnogo podkhoda postroeniya optimalnykh setok (obzor)”, Tr. IMM UrO RAN, 29, no. 2, 2023, 217–247
Olga V. Ushakova, Natalya A. Artyomova, “Non-stationary grid generation algorithm for deformed volumes of revolution”, Mathematics and Computers in Simulation, 203 (2023), 878
O. V. Ushakova, “Realization of an Adaptation Criterion in Grid Generation Technology for Constructions Bounded by Surfaces of Revolution with Parallel Axes of Revolution1”, Numer. Analys. Appl., 16:1 (2023), 74
Natalya A Artyomova, Olga V Ushakova, “About grid generation in constructions bounded by the surfaces of revolution”, J. Phys.: Conf. Ser., 2099:1 (2021), 012018
Alla I. Anuchina, Natalya A. Artyomova, Vyacheslav A. Gordeychuck, Olga V. Ushakova, PROCEEDINGS OF THE X ALL-RUSSIAN CONFERENCE “Actual Problems of Applied Mathematics and Mechanics” with International Participation, Dedicated to the Memory of Academician A.F. Sidorov and 100th Anniversary of UrFU: AFSID-2020, 2312, PROCEEDINGS OF THE X ALL-RUSSIAN CONFERENCE “Actual Problems of Applied Mathematics and Mechanics” with International Participation, Dedicated to the Memory of Academician A.F. Sidorov and 100th Anniversary of UrFU: AFSID-2020, 2020, 050002
Alla I. Anuchina, Natalya A. Artyomova, Vyacheslav A. Gordeychuck, Olga V. Ushakova, Lecture Notes in Computational Science and Engineering, 131, Numerical Geometry, Grid Generation and Scientific Computing, 2019, 281
A I Anuchina, N A Artyomova, V A Gordeychuck, O V Ushakova, “The algorithm for generation of structured grids in deformed volumes of revolution”, J. Phys.: Conf. Ser., 1392:1 (2019), 012029
A. I. Korotkii, N. A. Artemova, N. A. Vaganova, O. O. Kovrizhnykh, L. I. Rubina, O. N. Ulyanov, O. V. Ushakova, M. Yu. Filimonov, I. A. Tsepelev, “O razrabotkakh analiticheskikh i chislennykh metodov resheniya zadach mekhaniki sploshnoi sredy”, Tr. IMM UrO RAN, 19, no. 2, 2013, 203–215
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