Development of OpenFOAM Solver for Compressible Viscous Flows Simulation Using Quasi-Gas Dynamic Equations

Kraposhin, Matvey; Ryazanov, Daniil; Смирнова, Е. В.; Елизарова, Т. Г.; Istomina, M. A.

doi:10.1109/ispras.2017.00026

Cited by 15 publications

(5 citation statements)

References 5 publications

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“…The QGDFoam solver [22,23] is based on a system of quasi-gasdynamic equations [24] developed by a research team led by B.N. Chetverushkin.…”

Section: Numerical Methods and Solvers Based On Them Involved In Comp...mentioning

confidence: 99%

Comparative Evaluation of the Accuracy of Numerical Methods on Reference Solutions

Bondarev,

Kuvshinnikov

2023

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When organizing a mass practical solution of computational problems of gas dynamics with the help of mathematical modeling, information on the comparative accuracy of the numerical methods used is now increasingly in demand. As a rule, calculators need information not only for a particular combination of the defining gas-dynamic parameters of the problem (characteristic Mach, Reynolds numbers, etc.), but also for the variation of these parameters in certain ranges. This work presents numerical studies devoted to a comparative assessment of the accuracy of numerical methods for a number of problems with reference solutions. The calculation of these problems is carried out for ranges of characteristic numbers using various numerical methods. The results obtained are compared with the reference solution and make it possible to estimate the error for each of the numerical methods. Calculations are carried out using the construction of 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 the generalized computational experiment are multidimensional arrays, where the dimension of the arrays corresponds to the defining parameters. Analysis and visual representation of the obtained results provide information on the comparative accuracy of the numerical method for the selected class of problems.

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“…The QGDFoam solver [22,23] is based on a system of quasi-gasdynamic equations [24] developed by a research team led by B.N. Chetverushkin.…”

Section: Numerical Methods and Solvers Based On Them Involved In Comp...mentioning

confidence: 99%

Comparative Evaluation of the Accuracy of Numerical Methods on Reference Solutions

Bondarev,

Kuvshinnikov

2023

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“…Parametric studies were carried out for a Mach number equal to 2-4, with a step of 0.5, and an angle β = 6°, 10°, 15°, 20°. 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].…”

Section: Description Of the Test Problemmentioning

confidence: 99%

“…4) The QGDFoam solver [28,29] is based on the system of quasi-gasdynamic equations [30][31][32], developed by a group of researchers led by B.N. Chetverushkin.…”

Section: Openfoam Solversmentioning

confidence: 99%

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

Bondarev¹,

Kuvshinnikov²

2021

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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.

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“…However, all of them were performed using individual programs. In order to extend the application of the QGD approach to a wider range of problems, the OpenFOAM solver [18][19][20] was developed under the guidance of T.G. Elizarova at the Keldysh Institute of Applied Mathematics of the Russian Academy of Sciences.…”

Section: Qgdfoam Solver and Control Of Dissipative Propertiesmentioning

confidence: 99%

Visualization of the Influence of Changes in the Controlled Dissipative Properties on the Accuracy of the QGDFoam Solver

Bondarev¹,

Kuvshinnikov²

2021

Proceedings of the 31th International Conference on Computer Graphics and Vision. Volume 2

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This work is devoted to the study of the influence of variation of the controlled dissipative properties on the accuracy of the QGDFoam solver and the visual representation of this influence. The work continues a series of studies on the comparative assessment of the accuracy of various numerical methods and solvers built on their basis. To carry out a comparative assessment, a generalized computational experiment for classes of problems with a reference solution is constructed and implemented. A generalized computational experiment based on the synthesis of solutions of mathematical modeling problems, parallel technologies and visual analysis tools makes it possible to obtain solutions not only for individual problems, but for whole classes of problems determined by the specified ranges of key parameters. Accordingly, a comparative assessment of the accuracy of numerical methods is also carried out for a class of problems. Earlier, a similar computational experiment was carried out for a comparative assessment of the accuracy for solvers of the OpenFOAM open source software package on the well-known classical problem of an oblique shock wave formation. One of the solvers participating in the calculations, namely the QGDFoam solver, was the only one of all to have controlled dissipative properties. New generalized computational experiment was implemented to study the effect of variation of the parameter that controls the dissipative properties. The target was to reduce the error in comparison with the reference solution. The research results are presented in this work.

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Development of OpenFOAM Solver for Compressible Viscous Flows Simulation Using Quasi-Gas Dynamic Equations

Cited by 15 publications

References 5 publications

Comparative Evaluation of the Accuracy of Numerical Methods on Reference Solutions

Comparative Evaluation of the Accuracy of Numerical Methods on Reference Solutions

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

Visualization of the Influence of Changes in the Controlled Dissipative Properties on the Accuracy of the QGDFoam Solver

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