Quality-Preserving Linear Elasticity Mesh Movement Algorithm for Multi-Element Unstructured Meshes

Brown, David A.; Nadarajah, Siva; Yang, Hong; Castonguay, Patrice; Raiesi, Hassan; Sermeus, Kurt; Germain, Patrick

doi:10.2514/1.j057463

Cited by 2 publications

(2 citation statements)

References 26 publications

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“…There is a diverse range of different mesh smoothing methods for FSI with varying complexity and achievable quality, based on spring analogy [27], radial basis functions [14,28,29], solid body elasticity [30,31], or boundary deformation diffusion [2,26,32].…”

Section: Finite Area Central and Boundary Nodes Are Marked As Dots An...mentioning

confidence: 99%

An Integrated OpenFOAM Membrane Fluid-Structure Interaction Solver

Wagner¹,

Münsch²,

Delgado³

2022

OpenFOAM J

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The scope of this paper is to present the design and verification of an integrated OpenFOAM membrane fluid-structure interaction (FSI) solver for small deflections, which employs the finite volume method (FVM) for solving the flow field and the finite area method (FAM) for solution of the membrane deflection. A key feature is that both the fluid and the solid solver operate on a common mesh geometry and are included into a single executable. Although the scope of applicability is narrow due to limitations of the membrane solver at its current state, positive verification results prove the practicability of the design, which allows for lightweight implementation as well as simple data transfers and post-processing.

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Section: Finite Area Central and Boundary Nodes Are Marked As Dots An...mentioning

confidence: 99%

An Integrated OpenFOAM Membrane Fluid-Structure Interaction Solver

Wagner¹,

Münsch²,

Delgado³

2022

OpenFOAM J

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“…Once the surface displacements have been recovered through the FFD, the volume mesh nodes need to be displaced to ensure a valid mesh. The high-order mesh is deformed using a linear elasticity mesh movement [40,41,42,43] that propagates prescribed surface deformations into the domain.…”

Section: Volume Mesh Movementmentioning

confidence: 99%

Full-Space Approach to Aerodynamic Shape Optimization

Shi-Dong¹,

Nadarajah²

2020

Preprint

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Aerodynamic shape optimization (ASO) involves finding an optimal surface while constraining a set of nonlinear partial differential equations (PDE). The conventional approaches use quasi-Newton methods operating in the reduced-space, where the PDE constraints are eliminated at each design step by decoupling the flow solver from the optimizer. Conversely, the full-space Lagrange-Newton-Krylov-Schur (LNKS) approach couples the design and flow iteration by simultaneously minimizing the objective function and improving feasibility of the PDE constraints, which requires less iterations of the forward problem. Additionally, the use of second-order information leads to a number of design iterations independent of the number of control variables. We discuss the necessary ingredients to build an efficient LNKS ASO framework as well as the intricacies of their implementation. The LNKS approach is then compared to reduced-space approaches on a benchmark two-dimensional test case using a high-order discontinuous Galerkin method to discretize the PDE constraint.

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Quality-Preserving Linear Elasticity Mesh Movement Algorithm for Multi-Element Unstructured Meshes

Cited by 2 publications

References 26 publications

An Integrated OpenFOAM Membrane Fluid-Structure Interaction Solver

An Integrated OpenFOAM Membrane Fluid-Structure Interaction Solver

Full-Space Approach to Aerodynamic Shape Optimization

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