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JOURNALS // Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki // Archive

Zh. Vychisl. Mat. Mat. Fiz., 2019 Volume 59, Number 3, Pages 516–525 (Mi zvmmf10868)

Solution of fluid dynamics problems in truncated computational domains

I. I. Potapov, K. S. Snigur

Computer Center, Far Eastern Branch, Russian Academy of Sciences, Khabarovsk, 680000 Russia

Abstract: A mathematical model consisting of quasi-hydrodynamic equations and Dong's outflow boundary conditions is proposed for solving fluid dynamics problems in a truncated computational domain. A solution algorithm based on finite-element and control-volume methods is developed. The Kovasznay flow and the flow over a backward-facing step in truncated computational domains are numerically simulated. A comparative analysis of the numerical results shows that the proposed mathematical model adequately describes the hydrodynamic flows in a truncated domain.

Key words: hydrodynamic flow, truncated computational domain, backward-facing step, quasi-hydrodynamic equations, mathematical simulation.

UDC: 519.635

Received: 18.07.2018

DOI: 10.1134/S004446691903013X


 English version:
Computational Mathematics and Mathematical Physics, 2019, 59:3, 484–492

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