Improvements of Vortex in Cell Method for Incompressible Flow Simulation

知実, 内山; 佑太郎, 吉井

doi:10.1299/kikaib.77.715

Cited by 3 publications

(2 citation statements)

References 14 publications

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“…The regular grid, which defines all of the physical variables on the same grid points, is usually used to divide the computational domain into the streamfunction-vorticity method and the VIC method. Uchiyama and coworkers 9,14 have successfully clarified that dividing the computational domain by a staggered grid, which defines the physical variables at different points, can ensure the consistency among the discretized equations as well as prevent the numerical oscillation of the flow field. In this study, the staggered grid is used for spatial discretization of the computational domain.…”

Section: Methodsmentioning

confidence: 99%

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Improvements to the convection scheme in the vortex particle method using a semi-Lagrangian method

Degawa

Uchiyama

2018

Journal of Algorithms & Computational Technology

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This study focuses on the convection scheme in the vortex particle method. The usual two-step convection procedure for vortex elements, which comprises the convection of vortex elements on each grid point and redistribution of vorticity into each grid point, is extremely difficult to parallelize because of unavoidable memory-write conflictions in the redistribution step, thereby limiting the computational speed. We apply a semi-Lagrangian method called the cubic semi-Lagrangian method, as the convection scheme in the vortex particle method to improve space-time accuracy and accelerate computations. Two test problems, namely the Taylor-Green vortex and double shear flow, are simulated using the semi-Lagrangian vortex particle method proposed in this study to confirm its suitability. The results show that the accuracy of capturing standing vortices and the total amount of kinetic energy conservation are significantly improved. The performance measurements show that the average execution time for the convection of vortex elements is reduced to one-half, thus verifying the semi-Lagrangian method as a suitable convection scheme for the vortex particle method.

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Section: Methodsmentioning

confidence: 99%

“…To prevent numerical oscillations, linear multistep integration methods like the modified Euler method is imposed 14 as step 1. For step 2, higher order redistribution functions 4 and redistribution functions achieving the total variation diminishing 7,8 have been constructed.…”

Section: Introductionmentioning

confidence: 99%

Improvements to the convection scheme in the vortex particle method using a semi-Lagrangian method

Degawa

Uchiyama

2018

Journal of Algorithms & Computational Technology

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Direct Numerical Simulation of a Turbulent Channel Flow by Vortex in Cell Method

知実

廣貴²,

佑太郎³

2011

Trans.JSME, Ser.B

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Furo-cho, Chikusa-ku, Nagoya 464-8603, Japan Direct numerical simulation (DNS) for a turbulent channel flow is performed by the Vortex in Cell (VIC) method.The Reynolds number based on the friction velocity and the channel half width is 180. The improvements for the VIC method proposed in the prior study are used. Staggaerd grid is employed to ensure the consistency between the discretized equations as well as to prevent the numerical oscillation of the solution. A method correcting the vorticity is used so that the resultant vorticity field satisfies the solenoidal condition. A single-stage calculation method for the convection of vortex element is also utilized to reduce the computational time. The simulated turbulence statistics such as the mean velocity, the turbulence intensity and the Reynolds shear stress are favorably compared with the existing DNS results. The streak structures and the streamwise vortices near the wall are also successfully captured. These computational results demonstrate that the improved VIC method is indeed applicable to the DNS of wall turbulence simulations.

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Numerical Simulation of Bubbly Flow by Vortex in Cell Method

知実

佑太郎²

2011

Trans.JSME, Ser.B

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Furo-cho, Chikusa-ku, Nagoya 464-8603, Japan The Vortex in Cell (VIC) method for bubbly flow, proposed in the authors' prior study, is improved to promote the numerical accuracy and efficiency. The improvements are concerned with a discretization method using staggered grids, a correction method for vorticity and a single-stage calculation method for the convection of vortex element. To enlarge the applicability of the VIC method, vortex elements without core structure are employed. The improved VIC method is applied to simulate a bubble plume. In a tank containing water, small air bubbles are released from the base of the tank. The bubbles rise due to the buoyant force, inducing the water flow around them. The simulation for the plume at the starting period highlights that the rising bubbles induce vortex rings at their top and that a bubble cluster appears owing to the entrainment of the bubbles into the vortex rings. The rising velocity for the top of the bubbles is proportional to the square-root for the flowrate of the released bubbles, being consistent with existing theoretical and numerical investigations. The simulation also demonstrates that the developed bubble plume having some characteristics of a jet is successfully captured.

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Improvements of Vortex in Cell Method for Incompressible Flow Simulation

Cited by 3 publications

References 14 publications

Improvements to the convection scheme in the vortex particle method using a semi-Lagrangian method

Improvements to the convection scheme in the vortex particle method using a semi-Lagrangian method

Direct Numerical Simulation of a Turbulent Channel Flow by Vortex in Cell Method

Numerical Simulation of Bubbly Flow by Vortex in Cell Method

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