Mesh deformation on 3D complex configurations using multistep radial basis functions interpolation

Wang, Gang; Chen, Xin; Liu, Zhikan

doi:10.1016/j.cja.2018.01.028

Cited by 25 publications

(6 citation statements)

References 22 publications

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“…The interpolated loads and displacements are denoted as s p and a u respectively. When a u is obtained and the maximum number time steps is not reached, the RBF mesh deformation method is used to update the CFD mesh [49].…”

Section: Fluid-structure Couplingmentioning

confidence: 99%

Numerical study on the nonlinear characteristics of shock induced two-dimensional panel flutter in inviscid flow

Zhou

Wang

et al. 2022

Preprint

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For an aeroelastic system of a two-dimensional elastic panel subjected to an impinging inviscid oblique shockwave, the nonlinear flutter characteristics are affected by many factors such as shock impingement location, cavity pressure and initial perturbation. The effects of the above factors on the variation of system bifurcation type and dynamic behaviors are investigated numerically. A low-fidelity computational method coupled with local piston theory and van Karman plate model, and a high-fidelity computational method coupled with Euler equations and finite element model are used for fluid-structure interaction simulations. Two sets of new findings are unveiled. First, either the variation of shock impingement location or cavity pressure can induce the aeroelastic system to transition between a subcritical bifurcation and a supercritical bifurcation. For some cases, the system bifurcation characteristics exhibit strong sensitivity to these two factors. Second, it is found that in addition to the limit cycle oscillation (LCO) in the form of a combination of the second and third structural modes, multiple stable LCOs due to the coupling of higher-order modes can be triggered by proper initial perturbations. These LCOs are attributed with high frequencies and some of them even have high amplitudes, which indicates the higher risk of structural fatigue failure.

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Section: Fluid-structure Couplingmentioning

confidence: 99%

Numerical study on the nonlinear characteristics of shock induced two-dimensional panel flutter in inviscid flow

Zhou

Wang

et al. 2022

Preprint

Self Cite

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“…Since the problem size becomes very large in a three-dimensional context, it is necessary to accelerate the resolution of Equation (3). To this end, [44] suggests interpolating the target displacement in several steps. Firstly, a coarse set of nodes has to be selected among all the n b border nodes.…”

Section: Volume Deformationmentioning

confidence: 99%

“…Here, drawing inspiration from [44], a natural choice to enrich the set of selected nodes is to use the nodes introduced by the successive hierarchical refinements. Besides, the natural way to decrease the influence radius keeping a constant bandwidth of M is to divide it by 2 at each iteration because the distance between two neighboring nodes is also divided by 2 between two successive refinements, such that:…”

Section: Volume Deformationmentioning

confidence: 99%

Two-level substructuring and parallel mesh generation for domain decomposition methods

Gharbi

Parret-Fréaud

Bovet

et al. 2021

Finite Elements in Analysis and Design

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This paper presents a new parallel mesh generation method leading to subdomains of shape well-suited to Schur based domain decomposition methods such as the FETI and BDD solvers. Starting from a coarse mesh, subdomains meshes are created in parallel through hierarchical mesh refinement and morphing techniques. The proposed methodology aims at limiting the occurrence of known pathological situations (jagged interfaces, misplaced heterogeneity with respect to the interfaces, . . . ) that penalize the convergence of the solver. Furthermore, it enables to distribute and parallelize the mesh generation step in the early phases of the whole analysis. Besides its good behavior towards convergence, the mesh generation is thus distributed. The method is assessed, on several academical and industrial test cases, for both its parallel efficiency when creating the mesh and its capability to generate decomposition resulting in less FETI iterations.

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“…In recent years, RBF interpolation is becoming increasingly popular as a method to provide a solution for mesh deformation . Mesh deformation is achieved by point movement interpolated from boundary displacement to the volume field mesh points.…”

Section: Parallel Grid Generation Approachmentioning

confidence: 99%

A large‐scale parallel hybrid grid generation technique for realistic complex geometry

Zhao

Zhang

et al. 2020

Numerical Methods in Fluids

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Summary High‐Performance Computing (HPC) systems and Computational Fluid Dynamics (CFD) have made significant progress in recent years; however, as the basis of the large‐scale parallel computing, the massive grid generation of billions of cells has become a bottleneck problem. In this study, a parallel grid generation technique is proposed to generate large‐scale mixed grids with arbitrary cell types and scales. The basic idea of our method is analogous to the global mesh refinement technique. An initial coarse grid with arbitrary cell types is regarded as a background mesh which is partitioned into subzones, and subzones are assigned onto different CPU cores. After the cells and faces in each subzone are split, the inserted new points of the solid wall are projected onto the original CAD entities to preserve the geometry accurately. Finally, the tangled cells caused by the projection in the boundary layer are untangled by a local Radial Basis Function mesh deformation technique. Furthermore, a parallel partition approach and an efficient wall distance computing technique for massive grids are developed also to shorten the preprocessing time. The tests show that the preprocessing efficiency has been increased by two or three orders compared with traditional methods. Billions of grids are generated for the AIAA JSM high‐lift model and the Chinese CHN‐T1 transport model to test the ability of the parallel grid generation technique. The maximum scale up to 19 billion mixed elements is generated using 16 384 CPU cores in parallel, and the mesh quality is acceptable for CFD simulations.

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Mesh deformation on 3D complex configurations using multistep radial basis functions interpolation

Cited by 25 publications

References 22 publications

Numerical study on the nonlinear characteristics of shock induced two-dimensional panel flutter in inviscid flow

Numerical study on the nonlinear characteristics of shock induced two-dimensional panel flutter in inviscid flow

Two-level substructuring and parallel mesh generation for domain decomposition methods

A large‐scale parallel hybrid grid generation technique for realistic complex geometry

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