Перестроение и сглаживание нерегулярной расчетной сетки


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Rebuilding and smootthing irregular grid cal-culations

The paper proposes a method for transition from a tetrahedral to a hexagonal irregular computational grid. A variant of an elliptical grid "regularizer" has been developed, which is based on a "mechanical analogy" and is based on solving the linear equations of elasticity theory. A brief analysis of the advantages and disadvantages of irregular and regular grids has been performed. The initial results of rebuilding and "regularization" of the computational grid are presented, as well as the distribution of the "angular" criterion for assessing its quality.

mathematical modeling, irregular computational grid, development of numerical methods

DOI: http://doi.org/10.33257/PhChGD.27.1.1240


Том 27, выпуск 1, 2026 год



В работе предложен способ перехода от тетраэдральной к гексагональной нерегулярной расчетной сетке. Разработан вариант эллиптического «регуляризатора» сетки, который основывается на «механической аналогии» и базируется на решении линейных уравнений теории упругости. Выполнен краткий анализ преимуществ и недостатков нерегулярных и регулярных сеток. Приведены первоначальные результаты перестроения и «регуляризациия» расчетной сетки, а также распределение «углового» критерия оценки её качества.

математическое моделирование, нерегулярная расчетная сетка, разработка численных методов

DOI: http://doi.org/10.33257/PhChGD.27.1.1240


Том 27, выпуск 1, 2026 год



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