Analysis of the behavior of OpenFOAM solvers for 3D problem of supersonic flow around a cone at an angle of attack

Abstract

This paper is devoted to comparative analysis of numerical methods accuracy. Comparative estimation of accuracy is performed for numerical methods presented as solvers integrated to open sotware package OpenFOAM. Three different OpenFOAM solvers are selected to numerically solve the problem of supersonic flow around a cone. The angle of attack, cone half-angle and Mach number were varied in the selected ranges with a certain step. This approach is implemented using a generalized computational experiment that allows, based on parallel technologies, the simultaneous solution of the same basic problem with different input parameters. A number of test calculations were carried out. The deviation fields of gas-dynamic quantities for all solvers are analyzed. The construction of a generalized computational experiment made it possible to compare the accuracy of the considered solvers not only for one, separately taken problem, but for a class of problems specified by the ranges of variation of the determining parameters. Such an assessment of accuracy can be very useful for users of the software package when choosing a solver. Also, the results obtained can be useful for solver developers.

Processing of Visual Results of a Generalized Computational Experiment for the Problem of Supersonic Flow Around a Cone at an Angle of Attack

“…For each fixed triplet of values of the defining parameters within the ranges of variation (Mach number, cone half-angle and angle of attack), a comparison is made with the well-known tabular solution [21] according to the L1 and L2 norms. The problem statement, solution and results are described in detail in [17][18][19]. Thus, we get a function of the dependence of the error on 4 variables -three defining parameters and the choice of a solver.…”

“…Earlier in previous works were presented: -basic approaches and methods of scientific visualization; [3.9] -the basic principles and methods of generalized computational experiment constructing for problems of computational gas dynamics; [10][11][12][13][14][15] -the main tasks of data visualization in a generalized computational experiment [16]; -a description of the construction and implementation of a generalized computational experiment for the problem of flow around cones at an angle of attack for various solvers. The problem was considered as a 4-dimensional one, where the Mach number, the cone halfangle, the angle of attack, and the choice of the solver were considered as 4 variable parameters [17][18][19].…”

Analysis and Visualization of the Computational Experiments Results on the Comparative Assessment of OpenFOAM Solvers Accuracy for a Rarefaction Wave Problem

“…This work continues a large cycle of works devoted to the development of methods for constructing a generalized computational experiment and its application to practical problems in computational gas dynamics [5][6][7][8][9][10][11][17][18][19][20][21][22]. In particular, the application of a generalized computational experiment to problems of comparative estimation of numerical methods accuracy is considered using examples of typical classes of problems.…”

“…-a description of the construction and implementation of a generalized computational experiment for problems of comparative assessment of numerical methods accuracy is presented in [17][18][19][20][21]. Papers [17][18][19] consider the problem of comparing the accuracy of various OpenFOAM solvers when flowing around cones at an angle of attack. This task has four defining parameters.…”

“…Four solvers of the OpenFOAM open software package [24][25][26][27][28][29] -rhoCentralFoam, pisoCentralFoam, sonicFoam, and QGDFoam -took part in the comparative assessment of accuracy. For all these solvers, some actions were taken to unify the calculations when setting the boundary and initial conditions, similar to the procedures described in [17][18][19][20][21].…”