The structure of shock waves propagating through heavy noble gases: temperature dependence

Dias, Fernanda C.; Sharipov, Felix

doi:10.1007/s00193-020-00965-w

Cited by 6 publications

(6 citation statements)

References 47 publications

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“…In other words, the nodes of the angle mesh are denser in a region corresponding to a larger DCS. The scattering matrices for helium and neon are given in the supplementary material to the paper by Sharipov & Dias (2019), and those for argon and krypton are given in the supplementary material to the paper by Dias & Sharipov (2021). All of them have the same structure, i.e.…”

Section: Methods Of Solution In the Transitional Flow Regimementioning

confidence: 99%

“…The numerical scheme by Sharipov (2018 b ) to simulate interatomic collisions based on AI potentials does not depend on the flow type. Here, we use the same scheme that was developed previously for simulations of shock waves (Sharipov & Dias 2019; Dias & Sharipov 2021) and energy and momentum transfer between two plates (Ambrus, Sharipov & Sofonea 2020). During an elastic collision, the relative velocity changes its direction, keeping the magnitude.…”

Section: Methods Of Solution In the Transitional Flow Regimementioning

confidence: 99%

“…It was verified that the disagreement is within 0.1 % for all values of TMAC α t and NEAC α n . The intermolecular collision procedure independent of the flow configuration was the same as that used in the previous papers Sharipov (2018a), Sharipov & Dias (2019), Zhu et al (2019) and Dias & Sharipov (2021). It was validated previously via calculations of viscosity and thermal conductivity by the DSMC method (Sharipov & Strapasson 2012b) over a wide temperature range.…”

Section: Parameters Of Numerical Scheme and Accuracymentioning

confidence: 99%

“…In this regard, the AI potentials provide a more accurate solution to the scattering problem compared to the semi-empirical potentials such as the Lennard-Jones one. The DSMC method based on AI potentials was used successfully to study energy transfer in a rarefied gas (Strapasson & Sharipov 2014), rarefied gas flow past a circular cylinder (Volkov & Sharipov 2017), the structure of shock waves (Sharipov & Dias 2019;Dias & Sharipov 2021), expansion of laser-induced plumes (Petrov et al 2020), and gaseous mixture flow through an orifice (Sharipov 2017). A systematic comparison of rarefied gas flows based on an AI potential with those based on VHS and VSS models performed by Wang et al (2022) pointed out a significant error of the VHS and VSS models.…”

Section: Introductionmentioning

confidence: 99%

“…As shown by Sharipov & Strapasson (2012 a ), the DSMC calculations can be performed based on arbitrary interaction potentials for monatomic gases. The use of lookup tables that determine the deflection angle for binary collisions based on the solution of classical (Sharipov & Strapasson 2012 a , 2013) or quantum mechanical (Sharipov 2018 b ; Dias & Sharipov 2021) scattering problems allows one to perform DSMC calculations with the same computational cost as in the case of the variable hard sphere (VHS) and variable soft sphere (VSS) molecular models (Bird 1994, 2013). The approach based on lookup tables enables modelling interatomic collisions in the DSMC method based on arbitrary interatomic potentials, including the potentials established by ab initio (AI) calculations.…”

Section: Introductionmentioning

confidence: 99%

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Aerothermodynamics of a sphere in a monatomic gas based onab initiointeratomic potentials over a wide range of gas rarefaction: transonic, supersonic and hypersonic flows

Sharipov

Volkov

2022

J. Fluid Mech.

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Aerothermodynamic characteristics of a sphere such as drag and energy transfer coefficients are calculated for Mach numbers varying from 1 to 10 over a wide range of the gas rarefaction degree spanning the free molecular, transitional and near hydrodynamic flow regimes. The effects of major factors determining the gas flow are studied using the direct simulation Monte Carlo method. To reveal the effect of gas species, the simulations are performed based on ab initio interatomic potentials for helium, neon, argon and krypton, as well as based on the hard sphere model. The impact of the accommodation coefficients is evaluated by applying the Cercignani–Lampis model of gas–surface interaction. The calculations are carried out for several values of the free stream and sphere temperatures. It is found that the effects of gas species on the drag and energy transfer coefficients are approximately 3 % and 6 %, respectively. The accommodation coefficients in the Cercignani–Lampis model strongly affect all aerothermodynamic characteristics. The drag and energy transfer coefficients calculated for different accommodation coefficients vary within 30 % and 200 %, respectively. It is found that the variation of the tangential momentum and normal energy accommodation coefficients can induce an increase of the drag coefficient compared to the case of diffuse gas–surface interaction. In hypersonic flows, the drag coefficient varies within 30 % when the sphere temperature varies from the free stream temperature to the stagnation temperature. The drag and energy transfer coefficients are found to be non-monotonic functions of the free stream temperature.

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Section: Methods Of Solution In the Transitional Flow Regimementioning

confidence: 99%

Section: Methods Of Solution In the Transitional Flow Regimementioning

confidence: 99%

Section: Parameters Of Numerical Scheme and Accuracymentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Aerothermodynamics of a sphere in a monatomic gas based onab initiointeratomic potentials over a wide range of gas rarefaction: transonic, supersonic and hypersonic flows

Sharipov

Volkov

2022

J. Fluid Mech.

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On the Structure of Magnetohydrodynamics Shock Waves in Viscous van der Waals gases

Singh,

Anand

2024

Proc. Natl. Acad. Sci., India, Sect. A Phys. Sci.

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Homogeneous relaxation and shock wave problems: Assessment of the simplified and generalized Bernoulli trial collision schemes

2021

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The impetus of this paper is to assess the newly suggested direct simulation Monte Carlo (DSMC) collision schemes, that is, the “Simplified Bernoulli Trails (SBT)” and “Generalized Bernoulli Trials (GBT)” schemes in the prediction of the higher-order moments of the velocity distribution function for both confined and non-confined gas flows. Two fundamental rarefied gas dynamics problems are considered: spatially homogeneous relaxation process of a gas flow from a non-Maxwellian condition given by Bobylev–Krook–Wu exact (analytical) solution of the Boltzmann equation and the stationary shock wave problem. To perform the relaxation test, SBT and GBT schemes were implemented in the DSMC0F program. For the shock wave test, changes were made in the DSMC1 code to include the SBT and GBT schemes. A detailed comparison of the SBT and GBT collision schemes in treating the higher-order moments of the velocity distribution function and comparison with theory and the solution of the standard No-Time-Counter (NTC) method and its new variant, nearest neighbor scheme, using the DS1 code, is reported. Some higher moments beyond the usual moments were computed. The results of the fourth moment of the velocity distribution function in the homogeneous relaxation problem show that while both collision schemes produce identical results at an ample time, the initial relaxation process indicates the difference between the schemes. Even though the NTC schemes required a large number of particles per cell to produce the same results as the theory, the SBT scheme successfully simulates the solution using a low number of particles per cell.

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The structure of shock waves propagating through heavy noble gases: temperature dependence

Cited by 6 publications

References 47 publications

Aerothermodynamics of a sphere in a monatomic gas based onab initiointeratomic potentials over a wide range of gas rarefaction: transonic, supersonic and hypersonic flows

Aerothermodynamics of a sphere in a monatomic gas based onab initiointeratomic potentials over a wide range of gas rarefaction: transonic, supersonic and hypersonic flows

On the Structure of Magnetohydrodynamics Shock Waves in Viscous van der Waals gases

Homogeneous relaxation and shock wave problems: Assessment of the simplified and generalized Bernoulli trial collision schemes

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