Analysis of the Accuracy of OpenFOAM Solvers for the Problem of Supersonic Flow Around a Cone

Bondarev, A. E.; Kuvshinnikov, Artem E.

doi:10.1007/978-3-319-93713-7_18

Cited by 33 publications

(42 citation statements)

References 6 publications

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“…With the help of the developed software, there was also an experiment conducted for real alternatives. We got estimations according to 144 criteria for norms L1 and L2 for the computational problem of evaluating the accuracy of the calculations of inviscid flow around a cone by means of several OpenFoam solvers (rhoCentralFoam, pisoCentralFoam, sonicFoam, rhoPimpleFoam, QGDFoam) [6,7].…”

Section: Methodsmentioning

confidence: 99%

Mathematical Support and Software of Visual Filtering of Alternatives in Multi-criteria Decision Making Problems

Zakharova¹,

Zaharova

Коростелёв³

et al. 2019

GraphiCon'2019 Proceedings. Volume 2

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The article deals with the problem of multi-criteria decision-making problems, which are characterized by a large number of options and alternatives. It is proposed to use visual filtering of graphic images describing the corresponding alternatives as one of the stages in decision-making in such tasks. The approaches and requirements for the construction of graphic images of alternatives are considered. Describes the steps and algorithms for constructing visual images of alternatives, based on the radial and pie charts, and include the normalization procedure. It describes software that implements the proposed algorithms, as well as providing interactive interaction with an expert for visual filtering of multi-criteria alternatives. Additionally, the capabilities of the developed software are described, which include filtering alternatives based on threshold values, as well as the possibility of conducting a series of experiments in order to obtain the union or intersection of filtered sets of alternatives. A synthetic test for filtering 201 alternatives is described, each of which is described by 15 criteria. As a result of a series of experiments, this choice set was reduced by about 28 times. A description is also given of an experiment on visual filtering of real alternatives that describe estimates of the accuracy of calculating inviscid flow around a cone using several OpenFoam solvers. Each solver is characterized by 288 criteria, and according to the results of visual filtering, the advantage in the accuracy of the calculations of two solvers over the others is clearly established.

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Section: Methodsmentioning

confidence: 99%

Mathematical Support and Software of Visual Filtering of Alternatives in Multi-criteria Decision Making Problems

Zakharova¹,

Zaharova

Коростелёв³

et al. 2019

GraphiCon'2019 Proceedings. Volume 2

View full text Add to dashboard Cite

show abstract

“…In a practical sense, this makes it possible to reveal hidden dependences of valuable functionals on the determining parameters of the problem, similar to the above formulas. This work continues a series of works devoted to the development and implementation of a generalized computational experiment for various classes of computational aerodynamics problems [3][4][5][6][7][8][9][10][11][12][13][14]. Despite the fact that there are very few works devoted to the development of a generalized computational experiment, the development of such experiments is gradually taking place in many areas.…”

Section: Herementioning

confidence: 98%

“…Also, such a formal formulation allows numerical study of optimization analysis problems, when the inverse problem is solved at each point of the grid partition of the multidimensional space of the determining parameters. Both types of similar problems are considered in a series of papers [3][4][5][6][7][8][9][10][11][12][13][14]. The only way to effectively carry out a generalized numerical experiment is applying of parallel computations.…”

Section: Generalized Numerical Experimentsmentioning

confidence: 99%

“…The revealed dependencies can be further approximated by geometric primitives in order to obtain a generalizing dependence, which will represent the solution of interest for a class of problems. Examples of the implementation of this approach are presented in [5][6][7][8][9][10][11][12][13][14]. Also, to reduce the dimension of a multidimensional array, methods of mapping into embedded manifolds of smaller dimension are very effective [27][28][29].…”

Section: Generalized Numerical Experimentsmentioning

confidence: 99%

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Generalized Computational Experiment and Visual Analysis of Multidimensional Data

Bondarev¹,

Галактионов²

2019

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The work considers the problems of constructing a generalized computational experiment in the problems of computational aerodynamics. The construction of a generalized computational experiment is based on the possibility of carrying out parallel calculations of the same problem with different input data in multitasking mode. This allows carrying out parametric studies and solving problems of optimization analysis. The results of such an experiment are multidimensional arrays, for the study of which visual analytics methods should be used. The construction of a generalized experiment allows one to obtain dependences for valuable functionals on the determining parameters of the problem under consideration. The implementation of a generalized experiment allows one to obtain a solution for a class of problems in the ranges under consideration, and not just for one problem. Examples of constructing a generalized computational experiment for various classes of problems of computational aerodynamics are presented. The article also provides an example of constructing such an experiment for a comparative assessment of the accuracy of numerical methods. This approach is a synthesis of parallel computing, multi-dimensional data processing methods and visual analysis. The application of this approach makes it possible to increase the efficiency of research for a number of applied problems of mathematical modeling.

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Section: Introductionmentioning

confidence: 99%

Construction of a Generalized Computational Experiment and Visual Analysis of Multidimensional Data

Bondarev

Галактионов²

2019

GraphiCon'2019 Proceedings. Volume 2

View full text Add to dashboard Cite

The work is devoted to the problems of constructing a generalized computational experiment in the problems of computational aerodynamics. The construction of a generalized computational experiment is based on the possibility of carrying out parallel calculations of the same problem with different input data in multitasking mode. This allows carrying out parametric studies and solving problems of optimization analysis. The results of such an experiment are multidimensional arrays, for the study of which visual analytics methods should be used. The construction of a generalized experiment allows one to obtain dependences for valuable functionals on the determining parameters of the problem under consideration. The implementation of a generalized experiment allows one to obtain a solution for a class of problems in the ranges under consideration, and not just for one problem. Examples of constructing a generalized computational experiment for various classes of problems of computational aerodynamics are presented. The article also provides an example of constructing such an experiment for a comparative assessment of the accuracy of numerical methods.

show abstract

Analysis of the Accuracy of OpenFOAM Solvers for the Problem of Supersonic Flow Around a Cone

Cited by 33 publications

References 6 publications

Mathematical Support and Software of Visual Filtering of Alternatives in Multi-criteria Decision Making Problems

Mathematical Support and Software of Visual Filtering of Alternatives in Multi-criteria Decision Making Problems

Generalized Computational Experiment and Visual Analysis of Multidimensional Data

Construction of a Generalized Computational Experiment and Visual Analysis of Multidimensional Data

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