Computations of the flow past a still sphere at moderate reynolds numbers using an immersed boundary method

Campregher, Rubens; Militzer, Julio; Mansur, Sérgio Said; Neto, Aristeu da Silveira

doi:10.1590/s1678-58782009000400009

Cited by 19 publications

(8 citation statements)

References 31 publications

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“…As emphasized in [4], although the prescribed perturbation is symmetric, the flow quickly looses its plane symmetry. This is confirmed by Figure 9, values reported by [39] and [40], respectively equal to 0.46 and 0.478. Isocontours of |ω| in the near wake are depicted in the XY and XZ plane for early times, respectively in Figure 10a and 10b.…”

Section: Accepted Manuscriptsupporting

confidence: 83%

Direct numerical simulations of three-dimensional flows past obstacles with a vortex penalization method

2016

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Highlights • A vortex penalization method is proposed to model 3D incompressible flows • Appropriate far field boundary conditions are handled in a FFT-based Poisson solver • The cost is reduced extending a directional remeshing technique to the 3D algorithm • The computational code is validated and applied to flows past a sphere and hemisphere • At Re=1000 the hemisphere maintains its wake symmetry much longer than the sphere 1 ACCEPTED MANUSCRIPT Abstract A vortex method with penalization is proposed in order to simulate threedimensional incompressible bluff body flows. This approach combines the robustness of vortex methods and the flexibility of penalization methods to impose boundary conditions on the obstacle. Far field boundary conditions are handled in a FFT-based Poisson solver. A validation of the proposed numerical method is carried out in the context of flow past a sphere and further simulations are performed in the more challenging case of flow past a hemisphere.Keywords: flow past a sphere, flow past a hemisphere, vortex methods, particle methods, penalization method, semi-Lagrangian methods.

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Section: Accepted Manuscriptsupporting

confidence: 83%

Direct numerical simulations of three-dimensional flows past obstacles with a vortex penalization method

2016

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“…Indeed, as shown in Figure 2b, the time evolution of the drag coefficient C D and the vertical lift coefficient C L coincide with the one found by [35]. The mean value of the drag coefficient C D obtained from long time computations is 0.485, to be compared with the numerical values reported by [37] and [38], respectively equal to 0.46 and 0.478.…”

Section: Flow Past a Spheresupporting

confidence: 79%

Passive control of the flow around a hemisphere using porous media

Mimeau

Mortazavi

Cottet

2017

European Journal of Mechanics - B/Fluids

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International audienceIn this work, a passive flow control study is proposed in order to regularize the flow dynamics around a hemisphere at a low and a higher Reynolds number in the wake transition regime. This passive control is realized by covering the projected curved surface of the hemisphere with a porous coating. The presence of such porous medium modifies the boundary conditions at the body-fluid interface, allowing a non-zero velocity to settle in this region. This phenomenon smoothes the global flow dynamics and leads, in particular, to a decrease of the energy dissipation and the aerodynamic force. In this paper, the flow control study is carried out for several configurations using a vortex-penalization technique which allows to easily model solid-fluid-porous media without prescribing any boundary condition

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“…The drag coefficient is compared in Table 3. As we can seen from the table, the HNS(P 0 P 2 +P 0 P 1 (VR)) gives a closest to Ruben et al's results of 1.178 [20] with an relative error of 1.93%. The comparison of pressure coefficient is shown in Figure 7.…”

Section: Laminar Flow Past a Spheresupporting

confidence: 72%

High-Order Hyperbolic Navier-Stokes Reconstructed Discontinuous Galerkin Method

Lou

Luo

et al. 2019

AIAA Scitech 2019 Forum

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In this paper, we develop a reconstructed discontinuous Galerkin hyperbolic Navier-Stokes method based on the Galerkin formulation with a full basis matrix used as a test function. In the hyperbolic discontinuous Galerkin method for model equations, the formulation with a full basis matrix is known to be robust and leads to accurate explicit time-stepping schemes. Its extensions to a hyperbolic Navier-Stokes system, however, present a challenge in expressing derivatives of the conservative variables in terms of the gradient variables (corresponding to the gradients of the primitive variables) and their derivatives. To overcome the difficulty, we propose defining polynomial approximations in the primitive variables, and performing the weak formulation for the conservative system with pseudo/physical time derivatives expressed in terms of the primitive variables. This approach greatly simplifies the Galerkin formulation for the hyperbolic Navier-Stokes system. The resulting discretization is further improved by the reconstructed discontinuous Galerkin methodology, i.e., higher-order without introducing extra degrees of freedom.

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Computations of the flow past a still sphere at moderate reynolds numbers using an immersed boundary method

Cited by 19 publications

References 31 publications

Direct numerical simulations of three-dimensional flows past obstacles with a vortex penalization method

Direct numerical simulations of three-dimensional flows past obstacles with a vortex penalization method

Passive control of the flow around a hemisphere using porous media

High-Order Hyperbolic Navier-Stokes Reconstructed Discontinuous Galerkin Method

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