Parametric Study of the Accuracy of OpenFOAM Solvers for the Oblique Shock Wave Problem

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

doi:10.1109/ispras47671.2019.00023

Cited by 12 publications

(34 citation statements)

References 7 publications

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“…A large number of different applications of a generalized computational experiment are described in detail in [16][17][18][19][20][21][22][23][28][29][30]. The concept of a generalized computational experiment was applied to a wide range of both model and practical problems.…”

Section: Generalized Computational Experimentsmentioning

confidence: 99%

“…This section provides two examples of constructing a generalized computational experiment for a comparative assessment of numerical methods accuracy. As examples, we use the numerical results described in detail in the authors' works [20,23,29,30]. In these papers, two classes of computational gas dynamics problems were considered.…”

Section: Comparative Accuracy Estimation Using Reference Solutionmentioning

confidence: 99%

“…The problem has exact solution. In the problem, the Mach number M and the angle of incidence of the supersonic flow β varied, similarly to [29,30]. Figure 6 shows the error surfaces for this problem for 4 solvers: rhoCentralFoam (rCF), sonicFoam (sF), pisoCentralFoam (pCF), QGDFoam (QGDF).…”

Section: Comparative Accuracy Estimation Using Reference Solutionmentioning

confidence: 99%

“…The concept, basic methods and approaches of a generalized computational experiment, as well as a number of software tools for its implementation were developed in Keldysh Institute of Applied Mathematics RAS. The main aspects of constructing a generalized computational experiment and examples of its implementation are described in detail in [16][17][18][19][20][21][22][23][28][29][30].…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

On the construction of a generalized computational experiment in verification problems

Alekseev¹,

Bondarev²,

Галактионов³

et al. 2020

MathMon

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This work is devoted to the application of a generalized computational experiment for a comparative assessment of numerical methods accuracy. A generalized computational experiment allows one to obtain a numerical solution for a class of problems determined by the ranges of defining parameters variation. The applications of such approach in the presence of a reference solution and in its absence are discussed. An example of error surfaces constructing is given when the solvers of the OpenFOAM software package are compared. The classic inviscid problem of oblique shock wave is used as a basic task. Variations of the key parameters of the problemthe Mach number and angle of attackare considered. In addition to the OpenFOAM solvers, the comparison included the WW method, which has a second order of accuracy in time and space and an adjustable artificial viscosity. The problem of flow around a cone at an angle of attack with varying Mach number, cone angle and angle of attack is also considered. The concept of an error index is introduced as an integral characteristic of deviations from the exact solution for each solver.

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Section: Generalized Computational Experimentsmentioning

confidence: 99%

Section: Comparative Accuracy Estimation Using Reference Solutionmentioning

confidence: 99%

Section: Comparative Accuracy Estimation Using Reference Solutionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

On the construction of a generalized computational experiment in verification problems

Alekseev¹,

Bondarev²,

Галактионов³

et al. 2020

MathMon

View full text Add to dashboard Cite

show abstract

“…This section provides an example of constructing a generalized computational experiment for a comparative assessment of numerical methods accuracy. As an example, we use the numerical results described in detail in the authors' works [20,21]. In these papers, a class of computational gas dynamics problems is considered that describe the incidence of an inviscid supersonic gas flow onto a flat plate at an angle of attack.…”

Section: The Example Of Verification Problemmentioning

confidence: 99%

Generalized computational experiment in the problems of numerical methods verification

Alekseev

Bondarev

Kuvshinnikov

2020

CPT2020 the 8th International Scientific Conference on Computing in Physics and Technology Proceedings

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This work is devoted to the application of a generalized computational experiment for a comparative assessment of numerical methods accuracy. The construction of a generalized computational experiment is based on the simultaneous solution using parallel computations in a multitasking mode of a basic problem with different input parameters, obtaining results in the form of multidimensional data volumes and their visual analysis. This approach can be effective in problems of verification of numerical methods. A comparative assessment of the accuracy for solvers of the open software package OpenFOAM is carried out. The classic inviscid problem of oblique shock wave is used as a basic task. Variations of the key parameters of the problem — the Mach number and angle of attack — are considered. An example of constructing error surfaces is given when the solvers of the OpenFOAM software package are compared. The concept of an error index is introduced as an integral characteristic of deviations from the exact solution for each solver in the class of problems under consideration. The surfaces of deviations from the exact solution in the L2 norm, constructed for each solver, together with the calculated error indices, make it possible to obtain a complete picture of the accuracy of the solvers under consideration for the class of problems defined by the ranges of variation of the Mach number and angle of attack.

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Generalized Computational Experiment and Verification Problems

Alekseev

Bondarev

Галактионов

et al. 2021

Program Comput Soft

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Parametric Study of the Accuracy of OpenFOAM Solvers for the Oblique Shock Wave Problem

Cited by 12 publications

References 7 publications

On the construction of a generalized computational experiment in verification problems

On the construction of a generalized computational experiment in verification problems

Generalized computational experiment in the problems of numerical methods verification

Generalized Computational Experiment and Verification Problems

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