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Első- és másodrendű időbeli diszkretizáció körhenger körüli áramlás esetén

Daróczy, László and Baranyi, László (2012) Első- és másodrendű időbeli diszkretizáció körhenger körüli áramlás esetén. GÉP, 63 (9). pp. 17-20. ISSN 0016-8572

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Abstract

This paper deals with the two-dimensional numerical simulation of low-Reynolds number flow past a stationary circular cylinder using the finite difference method. We investigate the effect of temporal discretization (1st order Euler and 2nd order Runge-Kutta) on force coefficients and Strouhal number. Additionally, solvers for two types of hardware: CPU and GPGPU (General-Purpose computing on Graphics Processing Units) are used for validation of the code. Computations were carried out for Reynolds numbers 100 and 150, for different dimensionless time steps (0.0001; 0.0002; 0.0004; 0.0005) and at different mesh sizes (512x450; 360x260). Computational results obtained for the 1st and 2nd order methods agree well using both CPU and GPGPU, though the latter is much faster. Results also compare well with values in the literature. The 2nd order method is generally considered better, but its advantage of high accuracy at larger time steps cannot be utilized here, since the code demands relatively small time steps (it diverges at larger time steps due to using successive over-relaxation). Results obtained with 1st order Euler discretization proved to be equally accurate in this case.

Item Type: Article
Subjects: T Technology / alkalmazott, műszaki tudományok > TA Engineering (General). Civil engineering (General) / általános mérnöki tudományok
SWORD Depositor: MTMT SWORD
Depositing User: MTMT SWORD
Date Deposited: 26 Sep 2013 15:29
Last Modified: 26 Sep 2013 15:29
URI: http://real.mtak.hu/id/eprint/6776

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