Constructing of Three-dimensional Visual Maps of Generalized Computational Experiment

Abstract

This paper continues the series of publications of the authors' research materials in the field of developing an approach to dynamic planning and control of a generalized computational experiment based on the application of visualization and visual analytics methods. A generalized computational experiment implies a multiple solution of the numerical simulation problem for different sets of values of defining model parameters, and such an approach allows for obtaining a solution at once for a certain class of problems of mathematical modeling given in a multidimensional space of defining parameters. The paper considers an extension of the existing author's approach to the construction of visual maps of the generalized computational experiment, based on the application of visualization metaphors that can display not only individual images, but also their relationships. A method for constructing visual maps of a generalized computational experiment is proposed, which is focused on visualizing relationships between single computational experiments in threedimensional space. The method is based on the mechanism of formalization of relations between single computational experiments, as well as on the notion of a graph model visualization metaphor, which defines a prototype of a visual map. A description of the software system for the construction and analysis of three-dimensional visual maps of a generalized computational experiment is given, and examples of its application in assessing the accuracy of numerical models of the OpenFOAM software platform for the three-dimensional problem of inviscid flow around a cone are considered.