This article is cited in 1 paper

A morphing algorithm for the generation of structured grids in deformed volumes

N. A. Artemova^a, O. V. Ushakova<sup>ab

a</sup> N.N. Krasovsky Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, Yekaterinburg, Russia
^b Ural Federal University named after the First President of Russia B.N. Yeltsin, Yekaterinburg, Russia

Abstract: A morphing algorithm included in a three-dimensional structured grid generation technology designed for the numerical solution of differential equations modeling vortex processes in multi-component hydrodynamics is described. The algorithm is intended for the generation of structured grids of a special topology in volumes obtained by deformation of volumes of revolution by the bodies formed by surfaces of revolution with parallel axes. The algorithm is developed by using a variational approach for constructing optimal grids and is a non-stationary one: at each iteration the form of a domain and the grid for it are deformed. Then the grid is optimized in accordance with the following optimality criterion: the closeness of the grid to a uniform and orthogonal one. The iterations are continued up to a given degree of deformation. The algorithm allows one to construct grids in domains of very complex geometry, and it is not necessary to describe the boundary of a complex domain, it is sufficient to describe the volume of revolution, the deforming volume, and the parameters of deformation. Examples of grid calculations are given.

Key words: structured grids, deformed volumes, optimal grids, moving grids.

UDC: 519.6

Received: 18.10.2024
Revised: 21.10.2024
Accepted: 04.03.2025

DOI: 10.15372/SJNM20250302