A parallel finite element sliding mesh technique for the simulation of viscous flows in agitated tanks

Rivera, Christian; Heniche, Mourad; Bertrand, François; Glowinski, Roland; Tanguy, Philippe A.

doi:10.1002/fld.2579

Cited by 9 publications

(7 citation statements)

References 33 publications

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“…The time step is prescribed using ∆t p = 0.001 s in Equation (15), The portions of the mesh near the hole are shown in Figures 27 and 28 for the HNBF and UBF algorithms, respectively, at a given time step for an arbitrary Reynolds number. The most interesting characteristic of the problem is the so-called "lock-in" phenomenon, which is captured for all the simulations with Reynolds numbers ranging from 90 to 120.…”

Section: Vortex Oscillations Of a Circular Cylindermentioning

confidence: 99%

“…The chimera method, see [12,13], and HERMESH, see [14], are examples of partially overlapping domain decomposition as illustrated in Figure 1(Top)(Left). The sliding mesh method [15] is another example of domain decomposition; here the subdomains are disjoint and information between them is transmitted across the interfaces, see Figure 1(Top)(Right). In the shear-slip mesh update method (SSMUM) [1], a layer of shear-absorbing elements is used to connect a moving, associated to the body, and non-moving region as illustrated in Figure 1(Mid.…”

Section: Introductionmentioning

confidence: 99%

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Parallel embedded boundary methods for fluid and rigid-body interaction

Samaniego

Houzeaux

Samaniego

et al. 2015

Computer Methods in Applied Mechanics and Engineering

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The implementations of an updated body-fitted and a non body-fitted method to deal with the interaction of a fluid and a rigid body are described. The physics of the fluid is modeled by the incompressible Navier-Stokes equations. A parallel fluid solver based on the VMS (Variational Multiscale) Finite Element method serves as the basis for the implementation. For the rigid body movement, the Newton-Euler equations are solved numerically. To account for the interaction, the force that the fluid exerts on the rigid body is determined, on the one hand. On the other hand, the velocity of the rigid body is imposed as a Dirichlet boundary condition on the fluid. A fixed Eulerian mesh discretizes the fluid domain, except for nodes in the vicinity of the rigid body boundary for the case of the updated body-fitted approach. The wet boundary of the rigid body is embedded in the fluid mesh and tracked by a moving surface mesh. It is a distinctive characteristic of the updated body-fitted strategy that, in order to impose velocities on the interface, some\ud of the nodes near the body surface are moved by using a local r-adaptivity algorithm to conform with this surface. By contrast, the non body-fitted approach uses kriging interpolation for velocity prescription over the fluid on the interface. Given that fluid nodes can become solid nodes and viceversa due to the rigid body movement, we have adopted the FMALE approach, a variation of the ALE method to keep the fluid mesh fixed. Algorithms to ensure high performance, like skd-trees to determine if a given spatial point is currently inside the solid, are also used. All these ingredients constitute two approaches that are both computationally efficient and accurate. Numerical experiments are presented to assess their performance comparatively.We would like to especially thank Oscar Peredo for his idea and support in introducing a more technical notation and terminology for the data-structures described in this work.Peer ReviewedPostprint (author's final draft

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Section: Vortex Oscillations Of a Circular Cylindermentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Parallel embedded boundary methods for fluid and rigid-body interaction

Samaniego

Houzeaux

Samaniego

et al. 2015

Computer Methods in Applied Mechanics and Engineering

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“…As the mesh relative positions change, the nearest co‐incident nodes change, and the node connections ‘click’ along the boundary by one cell. Various effective interpolation schemes of low order have been created by Fenwick and Allen , Steijl and Barakos , Rivera et al and Sheng et al , whereas Barton and Drikakis have developed a method with improved recovery of step discontinuities.…”

Section: Introductionmentioning

confidence: 99%

Numerical study of radial basis function interpolation for data transfer across discontinuous mesh interfaces

Costin

Allen

2013

Numerical Methods in Fluids

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SUMMARYAllowing discontinuous or non‐matching mesh spacing across zonal interfaces within a computational domain offers many advantages, particularly in terms of easing the mesh generation process, reduction of required mesh densities, and relative motion between mesh zones. This paper presents a numerical study of a universal method for interpolating solution data across such interfaces. The method utilises radial basis functions (RBFs) for n‐dimensional volume interpolation, and treats the available solution data points simply as arbitrary clouds of points, eliminating all connectivity requirements and making it applicable to a wide range of computational problems. Properties of the developed meshless interface interpolation are investigated using analytic functions, and three issues are considered: the achievable order of spatial accuracy of the RBF interpolation alone and comparison with a variable order polynomial; the effect of a combined RBF and polynomial interpolation; and the ability of the method to recover frequency content. RBF interpolation alone is shown to achieve fourth‐order to sixth‐order spatial accuracy in one and two dimensions, and in three dimensions, using a small number of data points, third‐order and above is achievable even for a 3 : 1 discontinuous cell spacing ratio, that is a 27 : 1 volume ratio, across the interface. Hence, it is inefficient to include polynomial terms, since improving on the RBF spatial accuracy results in a significant increase in the system size and deterioration in conditioning. It is also shown that only five points per wavelength are required to capture both frequency and amplitude content of periodic solutions to less than 0.01% error.Copyright © 2013 John Wiley & Sons, Ltd.

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“…Sliding mesh solves problems in which separate zones make translational or rotational movement relative to each other [27,28]. Therefore, the spin of the projectile is realized by setting a rotational velocity for inner cell zone.…”

Section: Cfd Solvermentioning

confidence: 99%