A spatially varying robin interface condition for fluid‐structure coupled simulations

Cao, Shunxiang; Wang, Guangyao; Wang, Kevin G.

doi:10.1002/nme.6386

Cited by 5 publications

(9 citation statements)

References 42 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Good choices of α RN balance out these two opposing trends, but are very difficult to determine a priori. Various highly recommendable works study the effect of the Robin parameter in detail, like Badia et al [19], Gerardo-Giorda et al [21], Cao et al [22,23], or Gigante and Vergara [24]. Analyzing simplified FSI problems, for example potential or inviscid flows interacting with linear beam or membrane models, they derive suggestions for choosing α RN , including both constant values and spatially varying expressions [23].…”

Section: Robin-neumann Schemementioning

confidence: 99%

“…Various highly recommendable works study the effect of the Robin parameter in detail, like Badia et al [19], Gerardo-Giorda et al [21], Cao et al [22,23], or Gigante and Vergara [24]. Analyzing simplified FSI problems, for example potential or inviscid flows interacting with linear beam or membrane models, they derive suggestions for choosing α RN , including both constant values and spatially varying expressions [23]. Despite their undisputed importance, these formulations depend on a broad set of parameters, such as material properties, geometry, and time step size.…”

Section: Robin-neumann Schemementioning

confidence: 99%

“…Unfortunately, however, the Robin-Neumann scheme also introduces new drawbacks. In particular, its performance is strongly governed by the Robin parameter that controls the weighting of Dirichlet and Neumann contributions; and although tuning this parameter has been studied for various simplified FSI problems [21][22][23][24], efficient choices are in general problem-dependent and difficult to find a priori.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

A Robin-Neumann Scheme with Quasi-Newton Acceleration for Partitioned Fluid-Structure Interaction

Spenke¹,

Make²,

Hosters³

2022

Preprint

View full text Add to dashboard Cite

The Dirichlet-Neumann scheme is the most common partitioned algorithm for fluid-structure interaction (FSI) and offers high flexibility concerning the solvers employed for the two subproblems. Nevertheless, it is not without shortcomings: To begin with, the inherent added-mass effect often destabilizes the numerical solution severely. Moreover, the Dirichlet-Neumann scheme cannot be applied to FSI problems in which an incompressible fluid is fully enclosed by Dirichlet boundaries, as it is incapable of satisfying the volume constraint.In the last decade, interface quasi-Newton methods have proven to control the added-mass effect and substantially speed up convergence by adding a Newton-like update step to the Dirichlet-Neumann coupling. They are, however, without effect on the incompressibility dilemma. As an alternative, the Robin-Neumann scheme generalizes the fluid's boundary condition to a Robin condition by including the Cauchy stresses. While this modification in fact successfully tackles both drawbacks of the Dirichlet-Neumann approach, the price to be paid is a strong dependency on the Robin weighting parameter, with very limited a priori knowledge about good choices.This work proposes a strategy to merge these two ideas and benefit from their combined strengths. The effectiveness of this new quasi-Newton-accelerated Robin-Neumann scheme is demonstrated for different FSI simulations and compared to both Robin-and Dirichlet-Neumann variants.

show abstract

Section: Robin-neumann Schemementioning

confidence: 99%

Section: Robin-neumann Schemementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

A Robin-Neumann Scheme with Quasi-Newton Acceleration for Partitioned Fluid-Structure Interaction

Spenke¹,

Make²,

Hosters³

2022

Preprint

View full text Add to dashboard Cite

show abstract

“…In this special issue, Cao et al present a spatially-varying Robin coupling condition to mitigate the added-mass effect of incompressible flows in FSI in partitioned solution procedures. 1 In a similar vein, Dettmer et al present a new combined two-field relaxation strategy to enhance the stability of the standard Dirichlet-Neumann FSI coupling strategy in the presence of strong added-mass effects. 2 The work by Rüth et al is concerned with the development of quasi-Newton waveform relaxation techniques to enable efficient and robust partitioned iterative solution strategies supporting multi-rate approximations (or subcycling), and the implementation of this multi-rate coupling strategy in the open-source coupling software preCICE.…”

mentioning

confidence: 99%

“…11 Boncoraglio et al consider a new model-reduction framework to enhance the efficiency of multi-parameter FSI optimization problems with linearized FSI constraints. 12 E. Harald van Brummelen 1 Charbel Farhat 2…”

mentioning

confidence: 99%

Vanguard developments in computational methods for fluid‐structure interaction

Brummelen

Farhat

2021

Numerical Meth Engineering

View full text Add to dashboard Cite

The analytical approach, which lies at the basis of the exact and natural sciences, rests on the notion that complex systems can be reduced to simple components. This divide-and-conquer approach has shaped contemporary science and technology, and has formed the foundation for virtually all scientific breakthroughs in the 19th and 20th century. It is also the origin of the separation of mechanics into fluid and solid mechanics, so much so that these branches of mechanics are commonly considered as distinct scientific disciplines. Notably, the disconnection between fluid and solid mechanics is evidenced by the tremendous advancements in computational methods and commercial simulation codes for fluid-and solid-mechanical systems separately, as compared to the relative underdevelopment of commercial codes for fluid-structure-interaction analyses.With the advancement of analysis capabilities for fluid-and structure-mechanics systems separately, emerged the realization that many problems in science and engineering cannot be appropriately categorized as either a fluid or structure problem, but are fundamentally determined by the interaction of a fluid and a solid. Examples are flutter and buffet instabilities in aerospace and civil engineering, the functioning of heart valves in biomechanics, sloshing and vibrations in flexible fluid containers and fluid conduits, deployment of inflatable structures such as airbeams and airbags, and deformation of soft substrates due to capillary forces, for example, in microfluidic applications and biomechanics. The development of computational methods for fluid-structure-interaction problems commenced in the early 1980s and many important foundations were laid in the 1990s. Despite the significant progress that has been made since then in computational models and methods for Fluid-Structure Interaction (FSI), many open challenges still remain, and computational FSI continues to be an active area of investigation and development.This special issue presents an overview of vanguard developments in computational methods for fluid-structure interaction. The 12 manuscripts in this special issue cover a variety of contemporary topics in computational FSI.The development of efficient and robust partitioned solution methods continues to be an important branch of research in computational FSI. Such partitioned solution methods allow to retain the modularity of the fluid and structure subsystems, thus enabling the reuse of the complete gamut of advanced commercial and open-source simulation software for fluid-dynamics and solid-dynamics problems separately. In this special issue, Cao et al. present a spatially-varying Robin coupling condition to mitigate the added-mass effect of incompressible flows in FSI in partitioned solution procedures. 1 In a similar vein, Dettmer et al. present a new combined two-field relaxation strategy to enhance the stability of the standard Dirichlet-Neumann FSI coupling strategy in the presence of strong added-mass effects. 2 The work by Rüth et al. is concerned wit...

show abstract

A Robin‐Neumann scheme with quasi‐Newton acceleration for partitioned fluid‐structure interaction

Spenke

Make

Hosters

2022

Numerical Meth Engineering

View full text Add to dashboard Cite

The Dirichlet-Neumann scheme is the most common partitioned algorithm for fluid-structure interaction (FSI) and offers high flexibility concerning the solvers employed for the two subproblems. Nevertheless, it is not without shortcomings: to begin with, the inherent added-mass effect often destabilizes the numerical solution severely. Moreover, the Dirichlet-Neumann scheme cannot be applied to FSI problems in which an incompressible fluid is fully enclosed by Dirichlet boundaries, as it is incapable of satisfying the volume constraint.In the last decade, interface quasi-Newton methods have proven to control the added-mass effect and substantially speed up convergence by adding a Newton-like update step to the Dirichlet-Neumann coupling. They are, however, without effect on the incompressibility dilemma. As an alternative, the Robin-Neumann scheme generalizes the fluid's boundary condition to a Robin condition by including the Cauchy stresses. While this modification in fact successfully tackles both drawbacks of the Dirichlet-Neumann approach, the price to be paid is a strong dependency on the Robin weighting parameter, with very limited a priori knowledge about good choices. This work proposes a strategy to merge these two ideas and benefit from their combined strengths. The resulting quasi-Newton-accelerated Robin-Neumann scheme is compared to both Robinand Dirichlet-Neumann variants. The numerical tests demonstrate that it does not only provide faster convergence, but also massively reduces the influence of the Robin parameter, mitigating the main drawback of the Robin-Neumann algorithm. K E Y W O R D Sinterface quasi-newton methods, partitioned fluid-structure interaction, Robin-Neumann scheme

show abstract

A spatially varying robin interface condition for fluid‐structure coupled simulations

Cited by 5 publications

References 42 publications

A Robin-Neumann Scheme with Quasi-Newton Acceleration for Partitioned Fluid-Structure Interaction

A Robin-Neumann Scheme with Quasi-Newton Acceleration for Partitioned Fluid-Structure Interaction

Vanguard developments in computational methods for fluid‐structure interaction

A Robin‐Neumann scheme with quasi‐Newton acceleration for partitioned fluid‐structure interaction

Contact Info

Product

Resources

About