Processing and visualization of the results of parametric numerical calculations

Abstract

In modern problems of mathematical modeling in computational gas dynamics, it is increasingly necessary to implement parametric studies. In these cases, the key factors of the problem under consideration vary with the chosen step within the given ranges. Calculations of this kind can be effectively carried out by constructing a generalized computational experiment. A generalized computational experiment is a computational technology that combines the solution of mathematical modeling problems, parallel technologies, and visual analytics technologies. The results of a generalized computational experiment are multidimensional arrays, where the dimension of the arrays corresponds to the number of key factors. Processing and visual presentation of such arrays requires solving a number of separate tasks. The processing and visual presentation of the results are carried out for target functionals represented as a function of many variables. The report presents an examples of solving specific processing and visualization problems based on the implemented generalized computational experiment for 3D cone in supersonic flow.

Comparative Evaluation of the Accuracy of Numerical Methods on Reference Solutions

“…The research focused on the comparison analysis of the solver accuracy in the flow around a circular cone at an angle of attack presented in the studies [5,6,7]. In this class of problems, the following fundamental defining parameters of the flow were varied: freestream velocity, half-angle of the cone, and angle of attack.…”

“…Various numerical methods and solvers based on them were used in the accuracy analysis. Studies [7,11] are dedicated to connecting new numerical methods with comparison accuracy analysis.…”