Научная визуализация, 2021, том 13, номер 3, страницы 34 - 46, DOI: 10.26583/sv.13.3.04
Analysis and Visualization of the Computational Experiments Results on the Comparative Assessment of OpenFOAM Solvers Accuracy for a Rarefaction Wave Problem
Авторы: A.E. Bondarev1, A.E. Kuvshinnikov2
Keldysh Institute of Applied Mathematics RAS
1 ORCID: 0000-0003-3681-5212, bond@keldysh.ru
2 ORCID: 0000-0003-1667-6307, kuvsh90@yandex.ru
Аннотация
The article is devoted to the analysis and visualization of the generalized computational experiment results on the comparative analysis of the accuracy for a group of open software package OpenFOAM solvers. The basic problem here is the classical problem of the rarefaction wave formation in a flow. This problem has an exact solution which we use as etalon. The generalized computational experiment makes it possible to carry out parametric studies in a grid partition of the region in the space of defining parameters. The construction of a generalized computational experiment is based on the synthesis of mathematical modeling, parallel technologies and visual analytics. As a rule, the results obtained in such an experiment are multidimensional data, on the basis of which the objective functional is constructed, which is the main object of interest of the researcher. In this case, the defining parameters are the input stream Mach number and the flow deflection angle. The deviation from the exact solution calculated in the L1 and L2 norms is considered in the role of the objective functional. For each solver, a parametric problem is solved by varying the Mach number and flow deflection angle. The results obtained represent the dependence of the objective functional on the defining parameters for each solver. The results are presented in visual form as surfaces and in analytical form as polynomials.
Ключевые слова: comparative assessment of accuracy, OpenFOAM solvers, generalized computational experiment, rarefaction wave, processing of visual results, analytical form.
