Load and motion transfer algorithms for fluid/structure interaction problems with non-matching discrete interfaces: Momentum and energy conservation, optimal discretization and application to aeroelasticity

Farhat, Charbel; Lesoinne, Michel; Tallec, Patrick Le

doi:10.1016/s0045-7825(97)00216-8

Cited by 548 publications

(376 citation statements)

References 8 publications

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“…1 is a set of five coupled, nonlinear partial differential equations (PDEs) that are statements of mass (1), momentum (3), and energy (1) conservation in a fluid. Additional boundary and temporal conditions will be required and are problem dependent.…”

Section: Governing Equationsmentioning

confidence: 99%

“…This motivates the implementation of interpolation between non-matching discretizations. It should be noted that the interpolation of fields on the non-matching interface may compromise the accuracy of the whole simulation [46], and several authors have addressed the problem of coupling two non-matching discretizations [1,[46][47][48][49][50][51]. The general criteria for choosing the appropriate interpolator relates to its efficiency, robustness, accuracy, and conservation of momentum and energy [1,46,49,52].…”

Section: Spatial Couplingmentioning

confidence: 99%

“…It is a common approach in the literature to apply the principle of virtual work [1,46,49,53] to define a conservative transfer scheme. Brown [52] and Farhat [1] have introduced projection methods that apply the conservation of virtual work to the problem of transferring load and deformations in FSI problems on non-matching meshes.…”

Section: Spatial Couplingmentioning

confidence: 99%

“…Brown [52] and Farhat [1] have introduced projection methods that apply the conservation of virtual work to the problem of transferring load and deformations in FSI problems on non-matching meshes. By requiring the interpolation method to conserve virtual work across the displacements and forces on the two meshes, the resulting distributions are physically consistent and result in the same integrated forces.…”

Section: Spatial 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%

See 4 more Smart Citations

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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Section: Governing Equationsmentioning

confidence: 99%

Section: Spatial Couplingmentioning

confidence: 99%

Section: Spatial Couplingmentioning

confidence: 99%

Section: Spatial Couplingmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

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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Encyclopedia of Computational Mechanics

Ohayon¹,

Schotté

2004

100

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CFD‐Based Nonlinear Computational Aeroelasticity

Farhat

2004

Encyclopedia of Computational Mechanics

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This chapter overviews a three‐field formulation of nonlinear aeroelastic problems, where the fluid is modeled by the arbitrary Lagrangian–Eulerian (ALE) form of either the Euler or Navier–Stokes equations; the structure is represented by a detailed finite element model, and the fluid‐mesh is unstructured, dynamic, and constructed by a robust structure‐analogy–based method. It also discusses recent advances in the computational algorithms associated with this approach for modeling nonlinear fluid/structure interaction problems. These include CFD schemes that are formally second‐order time‐accurate on moving grids, energy‐transfer–conserving methods for discretizing transmission conditions across nonmatching fluid and structure discrete interfaces, and state‐of‐the‐art loosely coupled algorithms for solving efficiently coupled systems of fluid and structural equations arising from the discretization of real aircraft configurations. A taste of the capabilities of such algorithms is provided by reporting on their validation for an F‐16 fighter aircraft configuration in various subsonic, transonic, and supersonic airstreams, and at various load factors. The chapter concludes with a discussion of the feasibility and merit of the overviewed computational technology for accurately extracting the flutter envelopes of civilian and military aircraft, and a perspective on future research in CFD‐based nonlinear computational aeroelasticity.

show abstract

Load and motion transfer algorithms for fluid/structure interaction problems with non-matching discrete interfaces: Momentum and energy conservation, optimal discretization and application to aeroelasticity

Cited by 548 publications

References 8 publications

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

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

Encyclopedia of Computational Mechanics

CFD‐Based Nonlinear Computational Aeroelasticity

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