The paper considers the problem of evaluating the state of a generalized computational experiment in the context of a general problem of creating methods for adaptive planning and control of a generalized computational experiment in mathematical modeling of real physical processes. A generalized computational experiment implies multiple solution of the numerical simulation problem for various sets of values of defining model parameters. As a method for assessing a generalized computational experiment state, it is proposed to visualize a set of experimental data specifying this state then followed by analysis of the resulting visual image. An approach to visualization of a generalized computational experiment state is proposed based on constructing a visual map. The concept of a visual map of a generalized computational experiment is introduced, and several methods of its construction are proposed. Examples of application of those methods are considered when assessing the accuracy of numerical models of the OpenFOAM software platform for a three-dimensional problem of inviscid flow around a cone. Keywords: generalized computational experiment, generalized computational experiment state, multidimensional data, visualization, visual analytics, visual map, approximation, problem of flow around a cone, OpenFOAM.