Topology optimization of stationary fluid–structure interaction problems including large displacements via the TOBS-GT method

Silva, Kamilla E.S.; Sivapuram, Raghavendra; Ranjbarzadeh, Shahin; Gioria, Rafael dos Santos; Silva, E. C. N.; Picelli, Renato

doi:10.1007/s00158-022-03442-3

Cited by 10 publications

(8 citation statements)

References 29 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In this formulation, the movement/deformation is defined in the mapping function between the material frame (Lagrangian) and spatial frame (Eulerian). This is typical for Fluid-Structure Interaction (FSI) models [29][30][31]. The deformation is only seen from the spatial frame where the fluid mechanics are simulated in Eulerian form, while structural mechanics of the solid are formulated in the Lagrangian form in the locally fixed material frame.…”

mentioning

confidence: 99%

Simulation of the Frequency Response Analysis of Gas Diffusion in Zeolites by Means of Computational Fluid Dynamics

Grau Turuelo,

Grün,

Breitkopf

2023

Minerals

View full text Add to dashboard Cite

Frequency response (FR) analysis allows the characterization of gas diffusion occurring within a porous solid system. The shape of the pressure response curves obtained after a volume modulation in the reactor gives essential information about the gas adsorption and desorption properties of the porous material, e.g., zeolites, which is in contact with a certain gas environment, as well as information about the transport phenomena such as diffusion. In this work, a simulation model developed in COMSOL Multiphysics® is introduced to reproduce the experimental behavior of the tested solid/gas systems. This approach covers, for the first time, a coupling of computational fluid dynamics (CFD), porous media flow, and a customized mass adsorption/desorption function to simulate the behavior of real frequency response systems. The simulation results are compared to experimental data obtained from the interaction of propane in MFI zeolites as well as additional data from the literature to evaluate the model validity. Furthermore, a small variation study of the effect of simulation parameters such as the mass of the sample, bed porosity, or geometry is performed and analyzed. The essential advantage of this model with respect to other analytical approaches is to observe the spatial pressure and adsorption distribution (along with other local effects) of the gas within the porous material. Thus, local environments can be visualized, and non-idealities can, therefore, be detected in contrast to the general integral simulation approach.

show abstract

mentioning

confidence: 99%

Simulation of the Frequency Response Analysis of Gas Diffusion in Zeolites by Means of Computational Fluid Dynamics

Grau Turuelo,

Grün,

Breitkopf

2023

Minerals

View full text Add to dashboard Cite

show abstract

“…The authors also propose using a different Eikonal equation to calculate the wall distance. Then, Picelli et al (2022) propose trimming the design domain to extract the fluid elements and executing the turbulent fluid flow analysis in a smoothed version of the trimmed fluid domain. The method's advantages are a more accurate prediction of the boundary layer using a mesh based on the physical problem and a reduced computational cost as the fluid volume fraction is reduced.…”

Section: Fluid Flow and Turbulencementioning

confidence: 99%

“…Their work also introduces two new flow mechanism problems that can be used as benchmark problems in future research on topology optimization of FSI problems. Silva et al (2022) extended the TOBS-GT method to FSI problems with large deformations. The Arbitrary Lagrangian Eulerian (ALE) approach is used to couple the fluid and structural equations, which are described by the steady-state incompressible Navier-Stokes and the Cauchy equation.…”

Section: Fluid-structure Interactionmentioning

confidence: 99%

“…During this work, the diodicity objective function (LIU et al, 2012;LIN et al, 2015;LIM et al, 2019) has also been explored to reduce leakage while avoiding the contact of rotor and stator parts (SOUZA, 2020;SÁ et al, 2021b). The approach was to combine geometry trimming proposed by Picelli et al (2022) with diodicity (MOSCATELLI et al, 2022). However, the diodicity requires solving the physical problem twice, which considerably increases the computational cost for turbulent flows.…”

Section: Topology Optimization Of Labyrinth Sealsmentioning

confidence: 99%

“…However, the turbulent convergence curves are oscillatory, and the optimization only ends due to the maximum number of iterations. On the other hand, the discrete nature of the formulation is well-suited for geometry trimming procedures (PICELLI et al, 2022), which avoids mixing FEM and FVM. In its current form, the minimum gap is anisotropic because the ℓ 1 -distance is used in the definition of the neighborhood.…”

Section: Topology Optimization Of Inflatable Sealsmentioning

confidence: 99%

See 2 more Smart Citations

Otimização topológica para o projeto de selos labirinto considerando escoamento turbulento e interação fluido-estrutura com variáveis discretas e contínuas.

Souza

View full text Add to dashboard Cite

Labyrinth seals are mechanical devices used for sealing turbomachinery equipment in applications such as methane (CH 4 ) and carbon dioxide (CO 2 ) compression. Therefore, the optimization of labyrinth seals is crucial for controlling the increase in temperature of the atmosphere because CH 4 and CO 2 are greenhouse gases (GHGs). In this context, this work aims to develop topology optimization formulations by considering turbulent flow and fluid-structure interaction (FSI) and to apply these formulations to the design of efficient labyrinth seals, reducing GHGs emissions. The main challenges of labyrinth seal topology optimization are avoiding the channel closure, assigning different velocities for the rotor and stator, and avoiding solid islands disconnected from the walls. This work proposes two topology optimization algorithms that attend to these requirements and compare them. The first algorithm is based on binary design variables and one extension of the TOBS method (Topology Optimization of Binary Structures) that avoids undesired material distributions. The second algorithm is based on continuous design variables and one method that considers the fluid channel as the interface between the rotor and stator. This last algorithm requires the use of connectivity constraints to avoid solid islands. Two connectivity constraints are investigated, one based on fluid-structure interaction and the other on a virtual heat transfer problem. The binary and continuous approaches are compared for laminar and turbulent flows. As some designs present material distributions that cannot be assembled directly due to interference between the rotor and stator, this work also investigates the combination of the concepts of labyrinth seals and inflatable seals, which are seals that deform when pressurized. This characteristic may be used to adjust the clearance between the assembled parts and to reach complex assemblies, for example. The labyrinth seal model considers turbulence, which influences labyrinth seal performance. The Reynolds Averaged Navier-Stokes (RANS) equations closed with the Spalart-Allmaras turbulence model are used to model the flow in the labyrinth seal cavity. The inflatable seal design considers the static equilibrium of structures subjected to pressure loads and large deformations. The finite element method (FEM) is used to solve the equilibrium equations. The sensitivity analysis is carried out with automatic differentiation. The optimization problem is solved with the CPLEX ® and MMA (Method of Moving Asymptotes) optimizers. Three labyrinth seal configurations are optimized: straight-through, staggered and stepped. The inflatable seals are designed by topology optimization with pressure loads and large deformations.

show abstract

Topology optimization of incompressible structures subject to fluid–structure interaction

Castañar,

Baiges,

Codina

2024

Struct Multidisc Optim

View full text Add to dashboard Cite

In this work, an algorithm for topology optimization of incompressible structures is proposed, in both small and finite strain assumptions and in which the loads come from the interaction with a surrounding fluid. The algorithm considers a classical block-iterative scheme, in which the solid and the fluid mechanics problems are solved sequentially to simulate the interaction between them. Several stabilized mixed finite element formulations based on the Variational Multi-Scale approach are considered to be capable of tackling the incompressible limit for the numerical approximation of the solid. The fluid is considered as an incompressible Newtonian fluid flow which is combined with an Arbitrary-Lagrangian Eulerian formulation to account for the moving part of the domain. Several numerical examples are presented and discussed to assess the robustness of the proposed algorithm and its applicability to the topology optimization of incompressible elastic solids subjected to Newtonian incompressible fluid loads.

show abstract

Topology optimization of stationary fluid–structure interaction problems including large displacements via the TOBS-GT method

Cited by 10 publications

References 29 publications

Simulation of the Frequency Response Analysis of Gas Diffusion in Zeolites by Means of Computational Fluid Dynamics

Simulation of the Frequency Response Analysis of Gas Diffusion in Zeolites by Means of Computational Fluid Dynamics

Otimização topológica para o projeto de selos labirinto considerando escoamento turbulento e interação fluido-estrutura com variáveis discretas e contínuas.

Topology optimization of incompressible structures subject to fluid–structure interaction

Contact Info

Product

Resources

About