GEOMETRIC MODELING OF A PHYSICAL FIELD WITH A LINEAR ENERGY SOURCE

Abstract

One of the important tasks of geometric modeling is the visibility and graphic representation of processes and phenomena, which include physical features. At the stage of architectural design of buildings and structures, as well as the territories surrounding them, such tasks related to energy conservation can be: modeling a physical field from various types of energy sources; determination of the energy potential at a specific given point of a physical field from given energy sources. Also of interest to practice is a number of inverse problems such as determining the parameters of energy sources (their position and capacities) from the given parameters of individual points of the physical field, etc.Energy sources that create a physical field can be either point or linear (extended) [1], and can also be represented in the form of planes (surfaces). This study examined the modeling of a physical field with a linear energy source, which is often assumed in practice, which is presented as a set of point sources.The potential between an arbitrary point in a physical field is affected by the distance between this point and energy sources. With an increase in the indicated distance, the energy potential at a point of the physical field decreases, and with a decrease in the distance, it increases [2]. This distance can be represented in the form of various functions that take into account various environmental parameters of the physical field.The plots of the dependence of the parameter taking into account the distance from the point of the physical field to the specified energy source, on the abscissa of the points of the linear energy source, where the uniform step along the axis Ox corresponds to the potential of one point of the source, are plotted. Then, in a discrete form, the field potential at an arbitrary point will be equal to the sum of the areas of the rectangles. In the continuous version, the potential at the field point will be equal to the area of the curved trapezoid.