Generalized Computational Experiment State Analysis Using Three-Dimensional Visual Maps

Abstract

The paper continues a 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 visualization methods and visual analytics. A generalized computational experiment involves multiple solution of a numerical simulation problem for different sets of values of model defining parameters, which makes it possible to obtain a solution immediately for a certain class of mathematical modeling problems specified in a multidimensional parameter space. The paper considers an extension of the existing authors' approach to analysis of a generalized computational experiment state using visual maps, based on visualization metaphors that can display not only individual images but also their relationships. A method is proposed for constructing visual maps of a generalized computational experiment focused on visualizing relationships between single computational experiments in three-dimensional space. The method is based on the mechanism of formalization of the relationships between single computational experiments, as well as the concept of a graph model visualization metaphor that defines a visual map prototype. A description is given of a software system for constructing and analyzing three-dimensional visual maps of a generalized computational experiment. The paper also considers examples of its application in estimating the accuracy of numerical models of the OpenFOAM software platform for a three-dimensional problem of inviscid flow around a cone.

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