Matching fluid and structure meshes for aeroelastic computations: A parallel approach

Maman, Nathan; Farhat, Charbel

doi:10.1016/0045-7949(94)00359-b

Cited by 138 publications

(53 citation statements)

References 8 publications

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“…To obtain the value at some point, it is projected on the other grid, followed by an interpolation to calculate the value at the projected point. Several algorithms exist to find the nearest cell or element on the other side of the interface [122]. Also interpolation with splines and radial basis functions can be applied [19].…”

Section: Interpolation On the Fluid-structure Interfacementioning

confidence: 99%

Partitioned Simulation of Fluid-Structure Interaction

Degroote¹

2013

Arch Computat Methods Eng

122

107

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In this review article, the focus is on partitioned simulation techniques for strongly coupled fluid-structure interaction problems, especially on techniques which use at least one of the solvers as a black box. First, a number of analyses are reviewed to explain why Gauss-Seidel coupling iterations converge slowly or not at all for fluid-structure interaction problems with strong coupling. This provides the theoretical basis for the fast convergence of quasi-Newton and multi-level techniques. Second, several partitioned techniques that couple two black-box solvers are compared with respect to implementation and performance. Furthermore, performance comparisons between partitioned and monolithic techniques are examined. Subsequently, two similar techniques to couple a black-box solver with an accessible solver are analyzed. In addition, several other techniques for fluid-structure interaction simulations are studied and various methods to take into account deforming fluid domains are discussed.

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Section: Interpolation On the Fluid-structure Interfacementioning

confidence: 99%

Partitioned Simulation of Fluid-Structure Interaction

Degroote¹

2013

Arch Computat Methods Eng

122

107

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“…A particular example of specialized methods is load and motion transfer in fluid-solid interaction for aeroelasticity problems. In these problems, tractions from the fluid must be converted into nodal loads (equivalent to the load vectors in weighted residual methods) on the solid [6,20]. Displacements of the solid are then transferred back to the fluid, typically using consistent interpolation.…”

Section: Specialized Methodsmentioning

confidence: 99%

“…Some older methods evaluate both i j dx and i f dx over elements of the target mesh [20]. Because f is piecewise polynomial within each target element, the regularity assumption is also violated in this discretization.…”

Section: 22mentioning

confidence: 99%

Common‐refinement‐based data transfer between non‐matching meshes in multiphysics simulations

Jiao

Heath

2004

Numerical Meth Engineering

156

130

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SUMMARYIn multiphysics simulations using a partitioned approach, each physics component solves on its own mesh, and the interfaces between these meshes are in general non-matching. Simulation data (e.g. jump conditions) must be exchanged across the interface meshes between physics components. It is highly desirable for such data transfers to be both numerically accurate and physically conservative. This paper presents accurate, conservative, and efficient data transfer algorithms utilizing a common refinement of two non-matching surface meshes. Our methods minimize errors in a certain norm while achieving strict conservation. Some traditional methods for data transfer and related problems are also reviewed and compared with our methods. Numerical results demonstrate significant advantages of common-refinement based methods, especially for repeated transfers. While the comparisons are performed with matching geometries, this paper also addresses additional complexities associated with non-matching surface meshes and presents some experimental results from 3-D simulations using our methods.

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“…This algorithm searches for the nearest point on the other side of the interface to transfer data to [154]. The technique only performs well when the nodes of both meshes are not far apart.…”

Section: Load and Motion Transfer At The Interfacementioning

confidence: 99%