Generalized Computational Experiment and Verification Problems

Alekseev, A. K.; Bondarev, A. E.; Галактионов, В. А.; Kuvshinnikov, Artem E.

doi:10.1134/s0361768821030026

Cited by 3 publications

(3 citation statements)

References 41 publications

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“…obtained when solving the considered problem in the space of parameters 1 ( ... ) q qq R    , that corresponds to the statements typical for the generalized computational experiment [3].…”

Section: The Tensor Form For Problems Of the Aerogasdynamicmentioning

confidence: 99%

On the Visualization of Multidimensional Functions using Canonical Decomposition

Alekseev¹,

Bondarev²,

Pyatakova³

2022

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The approximation of a multidimensional function by means of tensor decompositions is considered in terms of storage, processing and visualization of the results of parametric calculations in computational aerogasdynamics problems. An algorithm for calculating the canonical decomposition using a combination of the alternative least squares method and stochastic gradient descent is described. Numerical results for interpolation of functions in sixdimensional space obtained using the canonical decomposition are presented, demonstrating the high computational efficiency and quality of results. Visual representations of the results are provided.

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Section: The Tensor Form For Problems Of the Aerogasdynamicmentioning

confidence: 99%

On the Visualization of Multidimensional Functions using Canonical Decomposition

Alekseev¹,

Bondarev²,

Pyatakova³

2022

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“…For the single phase modelling including multicomponent gases, a pressure-based numerical tool employing the hybrid approximation of convective fluxes [9,10] was developed earlier. The solver has been validated against different physical conditions [11][12][13][14][15][16][17][18][19][20][21][22][23][24][25][26] and for the wide range of Mach numbers. The next step for the framework development was the adaptation for simulation of high-speed multicomponent real-gas flows [27,28] in context of consideration of the phase separation phenomenon.…”

Section: Introductionmentioning

confidence: 99%

An extension of the all-Mach number pressure-based solution framework for numerical modelling of two-phase flows with interface

Kraposhin¹,

Kukharskii²,

Victòria³

et al. 2022

IPT

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In this paper, we present the extension of the pressure-based solver designed for the simulation of compressible and/or incompressible two-phase flows of viscous fluids. The core of the numerical scheme is based on the hybrid Kurganov — Noele — Petrova/PIMPLE algorithm. The governing equations are discretized in the conservative form and solved for velocity and pressure, with the density evaluated by an equation of state. The acoustic-conservative interface discretization technique helps to prevent the unphysical instabilities on the interface. The solver was validated on various cases in wide range of Mach number, both for single-phase and two-phase flows. The numerical algorithm was implemented on the basis of the well-known open-source Computational Fluid Dynamics library OpenFOAM in the solver called interTwoPhaseCentralFoam. The source code and the pack of test cases are available on GitHub: https://github.com/unicfdlab/hybridCentralSolvers The research was supported by Russian Science Foundation (proj. 17-79-20445).

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“…For the single phase modelling including multicomponent gases, a pressure-based numerical tool employing the hybrid approximation of convective fluxes 9,10 was developed earlier. The solver has been validated against different physical conditions [11][12][13][14][15][16][17][18][19][20][21][22][23][24][25][26] and for the wide range of Mach numbers. The next step for the framework development was the adaptation for simulation of high-speed multicomponent real-gas flows 27,28 in context of consideration of the phase separation phenomenon.…”

Section: Introductionmentioning

confidence: 99%

An Extension of the All-Mach Number Pressure-Based Solution Framework for Numerical Modelling of Two-Phase Flows with Interface

Kraposhin¹,

Kukharskii²,

Korchagova³

et al. 2022

Preprint

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In this paper, we present the extension of the pressure-based solver designed for the simulation of compressible and/or incompressible two-phase flows of viscous fluids. The core of the numerical scheme is based on the hybrid Kurganov— Noele — Petrova/PIMPLE algorithm. The governing equations are discretized in the conservative form and solved for velocity and pressure, with the density evaluated by an equation of state. The acoustic-conservative interface discretization technique helps to prevent the unphysical instabilities on the interface. The solver was validated on various cases in wide range of Mach number, both for single-phase and two-phase flows. The numerical algorithm was implemented on the basis of the well-known open-source Computational Fluid Dynamics library OpenFOAM in the solver called interTwoPhaseCentralFoam. The source code and the pack of test cases are available on GitHub: https://github.com/unicfdlab/hybridCentralSolvers

show abstract

Generalized Computational Experiment and Verification Problems

Cited by 3 publications

References 41 publications

On the Visualization of Multidimensional Functions using Canonical Decomposition

On the Visualization of Multidimensional Functions using Canonical Decomposition

An extension of the all-Mach number pressure-based solution framework for numerical modelling of two-phase flows with interface

An Extension of the All-Mach Number Pressure-Based Solution Framework for Numerical Modelling of Two-Phase Flows with Interface

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