Autocorrelation of density fluctuations for thermally relativistic fluids

Yano, Ryosuke; Suzuki, Kojiro; Kuroda, Hisayasu

doi:10.1103/physrevd.88.025014

Cited by 2 publications

(1 citation statement)

References 18 publications

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“…(c) Decide the direction of the momentum by the law of cosines so that the total momentum is conserved in equation (D. The validity of above DSMC algorithm has been confirmed in the author's previous studies [16,17,33,38].…”

Section: Appendix D Dsmc Methods Of Solving Relativistic Boltzmann Eq...mentioning

confidence: 76%

Dissipation process of binary gas mixtures in thermally relativistic flow

Yano¹

2016

J. Stat. Mech.

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In this paper, we discuss dissipation process of the binary mixture gas in the thermally relativistic flow by focusing on the characteristics of the diffusion flux. As an analytical object, we consider the relativistic rarefied-shock layer problem around the triangle prism. Numerical results of the diffusion flux are compared with the Navier-Stokes-Fourier (NSF) order approximation of the diffusion flux, which is calculated using the diffusion and thermal-diffusion coefficients by Kox et al. [Physica A, 84, 1, pp.165-174 (1976)]. In the case of the uniform flow with the small Lorentz contraction, the diffusion flux, which is obtained by calculating the relativistic Boltzmann equation, is roughly approximated by the NSF order approximation inside the shock wave, whereas the diffusion flux in the vicinity of the wall is markedly different from the NSF order approximation. The magnitude of the diffusion flux, which is obtained by calculating the relativistic Boltzmann equation, is similar to that of the NSF order approximation inside the shock wave, unlike the pressure deviator, dynamic pressure and heat flux, even when the Lorentz contraction in the uniform flow becomes large, because the diffusion flux does not depend on the generic Knudsen number from its definition in Eckart's frame. Finally, the author concludes that the accurate diffusion flux must be calculated from the particle four flow, which is formulated using the four velocity distinguished by each species of particles. * yano@k.u-tokyo.ac.jp 2

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Section: Appendix D Dsmc Methods Of Solving Relativistic Boltzmann Eq...mentioning

confidence: 76%

Dissipation process of binary gas mixtures in thermally relativistic flow

Yano¹

2016

J. Stat. Mech.

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From conduction to convection of thermally relativistic fluids between two parallel walls under gravitational force

Yano

2017

Physica A: Statistical Mechanics and its Applications

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We discuss the thermal conduction and convection of thermally relativistic fluids between two parallel walls under the gravitational force, both theoretically and numerically. In the theoretical discussion, we assume that the Lorentz contraction is ignored and spacetime is flat. For understanding of the thermal conduction and convection of thermally relativistic fluids between two parallel walls under the gravitational force, we solve the relativistic Boltzmann equation using the direct simulation Monte Carlo method. Numerical results indicate that strongly nonequilibrium states are formed in vicinities of two walls, which do not allow us to discuss the transition of the thermal conduction to the thermal convection of thermally relativistic fluids under the gravitational force in the framework of the relativistic Navier-Stokes-Fourier equation, when the flow-field is under the transition regime between the rarefied and continuum regimes, whereas such strongly nonequilibrium states are not formed in vicinities of two walls under the nonrelativistic limit. * yano@k.u-tokyo.ac.jp 2

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Autocorrelation of density fluctuations for thermally relativistic fluids

Cited by 2 publications

References 18 publications

Dissipation process of binary gas mixtures in thermally relativistic flow

Dissipation process of binary gas mixtures in thermally relativistic flow

From conduction to convection of thermally relativistic fluids between two parallel walls under gravitational force

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