Anisotropic adaptive meshing and monolithic Variational Multiscale method for fluid–structure interaction

Hachem, Elie; Feghali, Stephanie; Codina, Ramon; Coupez, Thierry

doi:10.1016/j.compstruc.2012.12.004

Cited by 24 publications

(12 citation statements)

References 37 publications

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“…Parameter ρ f ρ s ν g Unit g/cm 2 g/cm 2 g/cm 2 s cm/s 2 value 1 1.25 0.1 981 This simulation is well documented in the literature and considered as a challenging benchmark. We refer to the paper [7] where fictitious domain method is used and [31] for simulations with mesh adaptation. For the finite element discretization, we consider classical Lagrange family with P 2 −P 1 −P 0 for respectively u, p, and λ , which is a choice that satisfies the inf-sup condition required for such kind of problems (see [21] for more details).…”

Section: Numerical Tests: Free Fall Of a Disk In A Channelmentioning

confidence: 99%

A fictitious domain finite element method for simulations of fluid–structure interactions: The Navier–Stokes equations coupled with a moving solid

Court

Fournié

2015

Journal of Fluids and Structures

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a b s t r a c tThe paper extends a stabilized fictitious domain finite element method initially developed for the Stokes problem to the incompressible Navier-Stokes equations coupled with a moving solid. This method presents the advantage to predict an optimal approximation of the normal stress tensor at the interface. The dynamics of the solid is governed by Newton's laws and the interface between the fluid and the structure is materialized by a level-set which cuts the elements of the mesh. An algorithm is proposed in order to treat the time evolution of the geometry and numerical results are presented on a classical benchmark of the motion of a disk falling in a channel.

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Section: Numerical Tests: Free Fall Of a Disk In A Channelmentioning

confidence: 99%

A fictitious domain finite element method for simulations of fluid–structure interactions: The Navier–Stokes equations coupled with a moving solid

Court

Fournié

2015

Journal of Fluids and Structures

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“…Details of the method as well as performance tests are given in papers by , and Hachem et al (2013;2014). Such am ethod consists, after finding an approximate of the computed error, to refine the mesh, using an optimal metric field, so that this error is minimized with respect to at arget accuracy.…”

Section: Ap Osteriori Mesh Adaptationmentioning

confidence: 99%

Comparison between 1D and 3D Approaches for Twin-Screw Extrusion Simulation

Durin

Micheli

Nguyen

et al. 2014

International Polymer Processing

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International audienceIn this paper, numerical simulations of flows in a co-rotating intermeshing twin-screw extruder are performed using a previously presented 3D finite elements model. Some numerical improvements recently introduced are presented. The computations are performed for several processing conditions and screw arrangements. Values of specific energy, pressure and filled length are compared to the results issuing from the 1D Ludovic software in order to compare both approaches. The 3D simulation method is found to be more accurate to describe the effect of varying staggering angle and thickness of kneading discs. On the other hand, 1D model provides very satisfactory results for flows in screw elements

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“…Most scholars at home and abroad have studied the fluidstructure interaction in wind-induced vibration of membrane structures by strongly coupled partitioned method or weakly coupled partitioned method [3][4][5][6][7][8]. e research studies on the computation of fluid-structure interaction problem by strongly coupled monolithic methods are still very limited [9,10], but the strongly coupled monolithic method shows its advantages in terms of stability and accuracy. Typically, the implicit coupling is needed for the large-scale structure deformation to ensure the numerical stability of the FSI solver [11].…”

Section: Introductionmentioning

confidence: 99%

Study on Fluid‐Structure Interaction of Flexible Membrane Structures in Wind‐Induced Vibration

Sun

Zhu

Liu

2021

Shock and Vibration

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A strongly coupled monolithic method was previously proposed for the computation of wind-induced fluid-structure interaction of flexible membranous structures by the authors. How to obtain the accurate solution is a key issue for the strongly coupled monolithic method. Projection methods are among the commonly used methods for the coupled solution. In the work here, to impose initial pressure boundary conditions implicitly defined in the original momentum equations in classical projection methods when dealing with large-displacement of membranous structures, a modified factor is introduced in corrector step of classical projection methods and a new modified projection method is obtained. The solution procedures of the modified projection method aimed at strongly coupled monolithic equations are given, and the related equations are derived. The proposed method is applied to the computation of a two-dimensional fluid-structure interaction benchmark case and wind-induced fluid-structure interaction of a three-dimensional flexible membranous structure. The performance and efficiency of the modified projection method are evaluated. The results show that the modified projection methods are valid in the computation of wind-induced fluid-structure interaction of flexible membranous structures, with higher accuracy and efficiency compared with traditional methods. The modified value has little effects on the computation results whereas iteration times has significant effects. Computation accuracy can be improved greatly by increasing iteration times with less increase in computation time and little effects on stability with the modified projection method.

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Anisotropic adaptive meshing and monolithic Variational Multiscale method for fluid–structure interaction

Cited by 24 publications

References 37 publications

A fictitious domain finite element method for simulations of fluid–structure interactions: The Navier–Stokes equations coupled with a moving solid

A fictitious domain finite element method for simulations of fluid–structure interactions: The Navier–Stokes equations coupled with a moving solid

Comparison between 1D and 3D Approaches for Twin-Screw Extrusion Simulation

Study on Fluid‐Structure Interaction of Flexible Membrane Structures in Wind‐Induced Vibration

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