Provably second-order time-accurate loosely-coupled solution algorithms for transient nonlinear computational aeroelasticity

Farhat, Charbel; Zee, Kristoffer G. van der; Geuzaine, Philippe

doi:10.1016/j.cma.2004.11.031

Cited by 313 publications

(252 citation statements)

References 33 publications

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“…This simple splitting procedure, for solving fluid-structure interaction problems, is also known in the literature as conventional serial staggered (CSS) scheme (see e.g. [31,11]). …”

Section: Explicit Couplingmentioning

confidence: 99%

Stabilized explicit coupling for fluid–structure interaction using Nitsche's method

Burman¹,

Fernández²

2007

Comptes Rendus. Mathématique

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In this work we propose a stabilized explicit coupling scheme for fluid-structure interaction problems involving a viscous incompressible fluid. The coupled discrete formulation is based on Nitsche's method with a time penalty term giving L 2 -control on the fluid pressure variations at the interface. The scheme is stable, in the energy norm, irrespectively of the fluid-structure density ratio. Numerical experiments, in two and three dimensions, show that optimal time accuracy can be obtained by performing a few defect-correction iterations.Key-words: Fluid-structure interaction, Nitsche's method, fluid incompressibility, time discretization, explicit coupling, loosely coupled schemes, defectcorrection method

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“…This simple splitting procedure, for solving fluid-structure interaction problems, is also known in the literature as conventional serial staggered (CSS) scheme (see e.g. [31,11]). …”

Section: Explicit Couplingmentioning

confidence: 99%

Stabilized explicit coupling for fluid–structure interaction using Nitsche's method

Burman¹,

Fernández²

2007

Comptes Rendus. Mathématique

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“…Due to its simple and modular implementation, this is widely used in computational aeroelasticity, where the coupled dynamics are often mostly determined by the vibrations characteristics of the structure [3,[36][37][38]. However, this scheme may be unstable or inaccurate in certain cases, due to its high dependency on the density ratio ρ s /ρ f and the compressibility of the flow [35,39,40].…”

Section: Time Couplingmentioning

confidence: 99%

“…In this work, we will focus on aeronautical applications, and particularly on computational aeroelasticity [1][2][3]. Due to the complexity of the constitutive equations and the strongly non-linear coupling effects between fluid and structure, the development of accurate and efficient solvers able to be run in highly-parallel environments becomes a determining factor, specially when addressing large problems that require refined discretisations.…”

Section: Introductionmentioning

confidence: 99%

Assessment of the Fluid-Structure Interaction Capabilities for Aeronautical Applications of the Open-Source Solver Su2.

Sánchez¹,

Kline²,

Thomas³

et al. 2016

Proceedings of the VII European Congress on Computational Methods in Applied Sciences and Engineering (ECCOMAS Congress 2016)

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Abstract. We report on an international effort to develop an open-source computational environment for high-fidelity fluid-structure interaction analysis. In particular, we will focus on verification of the implementation for application in computational aeroelasticity. The capabilities of the SU2 code for aeroelastic analysis have been further enhanced both by developing natively embedded tools for the study of largely deformable solids, and by wrapping it using Python tools for an improved communication with external solvers. Both capabilities will be demonstrated on relevant test cases, including rigid-airfoil solutions with indicial functions, the Isogai Wing Section, test cases from the AIAA 2nd Aeroelastic Prediction Workshop, and the vortex-induced vibrations of a flexible cantilever in the wake of a square cylinder. Results show very good performance both in terms of accuracy and computational efficiency. The modularity and versatility of the baseline suite allows for a flexible framework for multidisciplinary computational analysis. The software libraries have been freely shared with the community to encourage further engagement in the improvement, validation and further development of this open-source project.

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“…To obtain software modularity, the partitioned approach is selected for this research. In weakly (or explicitly, staggered) coupled partitioned simulations, the flow equations and the structural equations are solved once (or a limited, fixed number of times) per time step [15,16]. As a result, the equilibrium of force and velocity on the fluid-structure interface is not guaranteed.…”

Section: Introductionmentioning

confidence: 99%

Partitioned solution of an unsteady adjoint for strongly coupled fluid-structure interactions and application to parameter identification of a one-dimensional problem

Degroote

Hojjat

Stavropoulou

et al. 2012

Struct Multidisc Optim

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Unsteady fluid-structure interaction (FSI) simulations are generally time-consuming. Gradient-based methods are preferred to minimise the computational cost of parameter identification studies (and more in general optimisation) with a high number of parameters. However, calculating the cost function's gradient using finite differences becomes prohibitively expensive for a high number of parameters. Therefore, the adjoint equations of the unsteady FSI problem are solved to obtain this gradient at a cost almost independent of the number of parameters.Here, both the forward and the adjoint problems are solved in a partitioned way, which means that the flow equations and the structural equations are solved separately. The application of interest is the identification of the arterial wall's stiffness by comparing the motion of the arterial wall with a reference, possibly obtained from non-invasive imaging. Due to the strong interaction between the fluid and the structure, quasi-Newton coupling iterations are applied to stabilise the partitioned solution of both the forward and the adjoint problem.

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Provably second-order time-accurate loosely-coupled solution algorithms for transient nonlinear computational aeroelasticity

Cited by 313 publications

References 33 publications

Stabilized explicit coupling for fluid–structure interaction using Nitsche's method

Stabilized explicit coupling for fluid–structure interaction using Nitsche's method

Assessment of the Fluid-Structure Interaction Capabilities for Aeronautical Applications of the Open-Source Solver Su2.

Partitioned solution of an unsteady adjoint for strongly coupled fluid-structure interactions and application to parameter identification of a one-dimensional problem

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