Abstract
This paper deals with the construction of boundary equations for geometric domains with perforation. Different types of perforated geometric domains are considered. The R-functions method for analytical modelling of perforated geometrical domains is used. For all constructed equations, function plots are obtained.
Highlights
The beauty of the whole world outside created by a human being is striking in its diversity
What could be common between window holes in buildings and road markings at pedestrian crossings or a washing machine drum and a colander? The answer – it is symmetry! The number of definitions for the term symmetry is almost the same amount as the types of symmetry
On the basis of the considerations outlined above, the problem statement of boundary equation building for perforated domain is formulated as - construct a function ω (x, y) = 0 with the described properties and satisfying Definition 2
Summary
The beauty of the whole world outside created by a human being is striking in its diversity. The number of definitions for the term symmetry is almost the same amount as the types of symmetry. Perforation is used in many fields of human activity It is used in beams and it allows to make lighter building constructions. In such areas of industry as the automotive industry, shipbuilding, and aircraft, perforation allows improving. Problems of various fields calculating perforated domains are very important [1,2,3]. To solve such problems, the class of grid methods is often used. Its main feature is the construction of boundary equations in an analytical form for geometric domains of arbitrarily complex form without approximation
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