Improved vortex method for the simulation of the flow around circular cylinders

Mustto, Angelo A.; Bodstein, Gustavo C. R.

doi:10.2514/6.2001-2643

Cited by 4 publications

(5 citation statements)

References 12 publications

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“…To avoid this, a new vortex-generating assumption has been applied to the current model, which is called "Rankine vortex pair", with two reversely rotating vortices of equal vorticity generated symmetrical to the body surface. It has some similarity with the image method proposed by Mustto (1998Mustto ( & 2001, which generates vortices with a Lamb core along the body surface. Application of the circle theorem imposes the no-penetration condition on the body surface.…”

Section: Random Vortex Methods For 2d Submerged Bodymentioning

confidence: 83%

Influence of bilge-keel configuration on ship roll damping and roll response in waves

et al. 2020

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Section: Random Vortex Methods For 2d Submerged Bodymentioning

confidence: 83%

Influence of bilge-keel configuration on ship roll damping and roll response in waves

et al. 2020

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“…The phenomenon of frequency locking was successfully simulated. Mustto and Bodstein (2013) proposed an improved Lagrangian meshless vortex method to simulate a two-dimensional incompressible unsteady flow. In the new algorithm, the boundary layer theory was used to calculate the position of the vortex with the Lamb core on the cylindrical surface.…”

Section: Introductionmentioning

confidence: 99%

Numerical simulation of flow past stationary and oscillating deformable circles with fluid-structure interaction

Liu

Gui

et al. 2019

Exp. Comput. Multiph. Flow

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The oscillation and deformation of the tube affect its safe and efficient operation in the shell-and-tube heat exchanger of the nuclear power plant. To offer in-depth understandings, numerical simulation of the flow around the cylinder (or particle) was carried out here by using COMSOL Multiphysics as a research tool. This paper mainly discusses the influence of physical parameters (elastic modulus and Poisson's ratio) and lateral oscillation on the flow around the circles (cylinder or particle). The physical property parameters have a greater influence on the deformation, lift coefficient, and drag coefficient of the object, and it basically does not affect the vortex shedding frequency. After analyzing the flow around the oscillating particle, four kinds of vortex separation modes (AI, AII, S, S-S modes) are defined. In addition, the lift coefficient and drag coefficient for different modes are discussed. The phenomenon of "frequency locking" occurs in the flow around the oscillating particle. Simulation results prove that the separation frequency of vortex is related to the oscillation frequency.

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“…(4) the average spatial operator is applied to the instantaneous velocity field and computed over a sphere centered at position x and having a radius and Mustto and Bodstein (2001). Once 2 F is determined, the eddy viscosity for an energy spectrum greater than k C that considers the subgrid scales can be calculated by the following expression (Lesieur and Métais, 1996) …”

Section: Governing Equations and Boundary Conditionsmentioning

confidence: 99%

“…The algorithm may eventually be extended to three-dimensional flows. We employ the Lagrangian LES-turbulence model developed by Pereira et al (2004) and combine it with the vortex method of Mustto and Bodstein (2001). This approach is known as Lagrangian Large Eddy Simulation (Kamemoto et al, 2000), since it preserves the main qualities of the LES technique and the fully Lagrangian character of the VM.…”

Section: Introductionmentioning

confidence: 99%

“…To consider the turbulence effects of the smaller scales we implement an eddy viscosity model expressed in terms of the Second-Order Velocity Structure Function (Lesieur and Métais, 1996) that is based on the work of Pereira et al (2004). The resulting model improves the original nonturbulent algorithm of Mustto and Bodstein (2001), and the influence of turbulence-related numerical parameters on the simulations is studied in order to establish their appropriate values and turn the model essentially parameterfree.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Subgrid-Scale Modeling of Turbulent Flow Around Circular Cylinder by Mesh-Free Vortex Method

Mustto

Bodstein

2011

Engineering Applications of Computational Fluid Mechanics

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This paper proposes a numerical model for the two-dimensional, incompressible, unsteady, turbulent flow applied to an impulsively started flow around a circular cylinder in the Reynolds number range from 110 4 to 610 5 . A Lagrangian mesh-free vortex method blended with the Large Eddy Simulation theory is employed to simulate the large-scale motion, whereas the turbulent subgrid-scale motion is modeled with an eddy viscosity coefficient, expressed in terms of the Second-Order Velocity Structure Function. The filtered vorticity field is calculated by a superposition of Lamb vortices that are generated near the body surface such that circulation is conserved and the no-slip boundary condition is explicitly imposed at a finite number of points on the cylinder. The no-penetration boundary condition is satisfied exactly on the entire cylinder surface through the application of the circle theorem. The vorticity transport equation is solved using the convective-diffusive operator-splitting algorithm, where vorticity diffusion is simulated with the random walk method and the convective motion of the vortices is integrated in time using the second-order Adams-Bashforth scheme. Numerous simulations for high Reynolds numbers are carried out to determine the numerical parameters of the model. Results for the drag coefficient and the Strouhal number as a function of the Reynolds number present satisfactory agreement with other results from the literature.

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Improved vortex method for the simulation of the flow around circular cylinders

Cited by 4 publications

References 12 publications

Influence of bilge-keel configuration on ship roll damping and roll response in waves

Influence of bilge-keel configuration on ship roll damping and roll response in waves

Numerical simulation of flow past stationary and oscillating deformable circles with fluid-structure interaction

Subgrid-Scale Modeling of Turbulent Flow Around Circular Cylinder by Mesh-Free Vortex Method

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