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Zh. Vychisl. Mat. Mat. Fiz., 2019, Volume 59, Number 5, Pages 860–866 (Mi zvmmf10898)  

Application of a hybrid method to microflow simulation

O. I. Rovenskaya

Dorodnicyn Computing Center, Federal Research Center "Computer Science and Control",' Russian Academy of Sciences, Moscow, 119333 Russia

Abstract: The gas flow in a microchannel driven by an arbitrary pressure difference is investigated numerically in a wide range of Knudsen numbers. The simulation is based on a hybrid method that dynamically couples the solutions of the S-model kinetic equation and the Navier–Stokes equations. A complete solution is obtained by matching the half-fluxes of macroscopic variables on the boundary between the domains, thus ensuring the fulfillment of the mass, momentum, and energy conservation laws through the boundary. The efficiency of the hybrid method is improved via MPI parallelization. The accuracy and robustness of the hybrid method as applied to microflows is estimated by comparing the results with the full solution of the kinetic equation.

Key words: microflows, hybrid method, kinetic equations.

Funding Agency Grant Number
Russian Foundation for Basic Research 18-01-00899_а
This work was supported by the Russian Foundation for Basic Research, project no. 18-01-00899.


DOI: https://doi.org/10.1134/S0044466919050132


English version:
Computational Mathematics and Mathematical Physics, 2019, 59:5, 809–814

Bibliographic databases:

UDC: 533.6.011
Received: 10.12.2018
Revised: 11.01.2019
Accepted:11.01.2019

Citation: O. I. Rovenskaya, “Application of a hybrid method to microflow simulation”, Zh. Vychisl. Mat. Mat. Fiz., 59:5 (2019), 860–866; Comput. Math. Math. Phys., 59:5 (2019), 809–814

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