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Article information
2021 , Volume 26, ¹ 1, p.62-71
Zipunova E.V., Perepelkina A.Y., Zakirov A.V.
Development of the LBM non-isothermal flows with arbitrarily large Mach number
The purpose of the paper is to demonstrate applicability of the Particle on Demand (PonD) D1Q5 method with the explicit calculation of the first three moments to problem with high speed of the flow. The standard LBM is applicable for small flow velocities. Thus to overcome this limitation we use PonD. In this work, we use conservative version of PonD — the D1Q5 method with the explicit calculation of the first three moments. Methodology. The Pond over LBM was applied to the Riemann problem in order to demonstrate the advantage of the method. In this work, we choose the case when contact discontinuities could propagate at variable speed. Findings. If the interpolation pattern is fixed relative to the point at which there is a current update of the discrete distribution function, then the transfer step can be written explicitly, thus the scheme is conservative. On the other hand, this imposes additional restrictions on the temperature and the flow rate. But even if the PonD scheme is limited to a fixed interpolation pattern, it is possible to simulate flows with larger values of the Mach number than in the case when the classical method of lattice Boltzmann equations is used. Originality/value. In the described particular case of the PonD method, it is possible to avoid iterations by calculating the temperature and velocity values directly at a new time layer. In this work, we have investigated the properties and the range of applicability (admissible values of temperature and velocity) of such modification of PonD.
[full text]
Keywords: lattice Boltzmann method, discrete Boltzmann equation, conservative numerical scheme
doi: 10.25743/ICT.2021.26.1.005
Author(s):
Zipunova Elizaveta Vyacheslavovna
PhD.
Position: Junior Research Scientist
Office: Keldysh Institute of Applied Mathematics
Address: 125047, Russia, Moscow, Miusskaya sq., 4
E-mail: e.zipunova@gmail.com
SPIN-code: 5349-2764Perepelkina Anastasia Yurievna
PhD.
Position: Research Scientist
Office: Keldysh Institute of Applied Mathematics
Address: 125047, Russia, Moscow, Miusskaya sq., 4
Phone Office: (499)220-79-04
E-mail: mogmi@narod.ru
SPIN-code: 5577-3679Zakirov Andrey Vladimirovich
PhD.
Position: Research Scientist
Office: Kintech Lab
Address: 123298, Russia, Moscow, 12, 3rd Khoroshevskaya str.
Phone Office: (499) 704 2581
E-mail: zakirov@kintechlab.com
SPIN-code: 6563-9946 References:
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Bibliography link:
Zipunova E.V., Perepelkina A.Y., Zakirov A.V. Development of the LBM non-isothermal flows with arbitrarily large Mach number // Computational technologies. 2021. V. 26. ¹ 1. P. 62-71
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