Conservative meshless framework for computational structural dynamics

doi:10.1016/j.ast.2026.113754

Conservative meshless framework for computational structural dynamics

2026-09-08

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DOI：10.1016/j.ast.2026.113754

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• 3D conservative meshless CSD framework is developed based on GFDM, gradient reconstruction, and the Newmark-β time integration scheme. • The proposed algorithm, which satisfies both global and local conservation, enhances numerical accuracy by enforcing force balance. • Solver robustness is verified through numerical experiments using diverse point distributions and geometries. • FEM-comparable accuracy is achieved with fewer matrix nonzero entries than FEM and FVM. • Accurate dynamic and NACA 0012 responses demonstrate practical applicability and provide a foundation for future meshless FSI applications in aerospace.

Keywords:

Computational structural dynamics (CSD)

Meshless methods

Generalized finite difference method (GFDM)

Sparse and compact stiffness matrix construction

Global and local conservation

Static and dynamic structural analysis

Conservative meshless framework for computational structural dynamics

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