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Research Papers: Fundamental Issues and Canonical Flows

A Modified Smoothed Particle Hydrodynamics Scheme to Model the Stationary and Moving Boundary Problems for Newtonian Fluid Flows

[+] Author and Article Information
Mohammad Sefid

Associate Professor
School of Mechanical Engineering,
Yazd University,
Yazd 89195-741, Iran
e-mail: mhsefid@yazd.ac.ir

Rouhollah Fatehi

Assistant Professor
Department of Mechanical Engineering,
School of Engineering,
Persian Gulf University,
Bushehr 75169, Iran
e-mail: fatehi@pgu.ac.ir

Rahim Shamsoddini

School of Mechanical Engineering,
Yazd University,
Yazd 89195-741, Iran
e-mail: shamsoddini@stu.yazd.ac.ir

1Corresponding author.

Contributed by the Fluids Engineering Division of ASME for publication in the JOURNAL OF FLUIDS ENGINEERING. Manuscript received December 24, 2013; final manuscript received September 20, 2014; published online October 21, 2014. Assoc. Editor: Zhongquan Charlie Zheng.

J. Fluids Eng 137(3), 031201 (Oct 21, 2014) (9 pages) Paper No: FE-13-1746; doi: 10.1115/1.4028643 History: Received December 24, 2013; Revised September 20, 2014

A robust modified weakly compressible smoothed particle hydrodynamics (WCSPH) method based on a predictive corrective scheme is introduced to model the fluid flows engaged with stationary and moving boundary. In this paper, this model is explained and practically verified in three distinct laminar incompressible flow cases; the first case involves the lid driven cavity flow for two Reynolds numbers 400 and 1000. The second case is a flow generated by a moving block in the initially stationary fluid. The third case is flow around the stationary and transversely oscillating circular cylinder confined in a channel. These results in comparison with the standard benchmarks also confirm the good accuracy of the present solution algorithm.

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Figures

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Fig. 1

The horizontal (above plots) and vertical (bottom plots) velocity profiles, respectively, in vertical and horizontal middle sections of the lid driven cavity for Re = 400 (left) and Re = 1000 (right)

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Fig. 2

The streamlines produced by the present SPH simulation for the cases with 160 × 160 particles for Re = 400 (left), Re = 1000 (right)

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Fig. 3

Initial state (t = 0) of square in the rectangular cavity

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Fig. 4

Contour of the velocity magnitude of the force motion of the square for Re = 150 in the initially stationary flow for simulation of Lee et al. [28] (top) and present SPH algorithm simulation (bottom)

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Fig. 5

Time variations of the pressure drag coefficient for incompressible FDM [28], FVPM [35], standard WCSPH, and present SPH method

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Fig. 6

Schematic of a channel confined flow over a circular cylinder

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Fig. 7

SPH simulation of flow regimes past a stationary confined circular cylinder for Re = 40 and Re = 100

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Fig. 8

Patterns of vorticity contour for stationary confined circular cylinder at Re = 100

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Fig. 9

Velocity profiles in the wake region for the Re = 40 case in comparison with the Ozalp and Dincer [37] data

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Fig. 10

Variation of nondimensional Lift force versus nondimensional time for F = 1.25

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Fig. 11

Vorticity contours for flows with F = 0.75, F = 1.00, and F = 1.25 at Re = 100

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Fig. 12

Streamlines (von Karman streets) behind the oscillating cylinder for F = 0.75, F = 1.00, and F = 1.25 at Re = 100

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