Article Dans Une Revue Meccanica Année : 2020

Motion of a solid particle in a bounded viscous flow using the Sparse Cardinal Sine Decomposition

Résumé

This work investigates the Sparse Cardinal Sine Decomposition (SCSD) method ability to efficiently deal with a Stokes flow about a solid particle immersed in a liquid. In contrat to Alouges and Aussal (Numer Algorithms 70:1–22, 2015), the liquid domain is bounded by a solid and motionless wall. The advocated procedure inverts on the particle and truncated wall boundaries the boundary-integral equation governing the stress there. This is numerically achieved by implementing a Galerkin method. The resulting linear system, with fully-populated and non-symmetric influence matrix, is both compressed and solved by the new SCSD method which allows to accurately deal with a large number of unknowns. Both analytical and numerical comparisons are reported for a spherical particle and several bounded liquid domains. Moreover, the rigid-body motion of spheroidal particles settling in a cylindrical tube is examined.
Fichier principal
Vignette du fichier
MotionSolidSCSD_2020_VF.pdf (1) Télécharger le fichier
Origine Fichiers produits par l'(les) auteur(s)

Dates et versions

hal-02387251 , version 1 (13-02-2025)

Identifiants

Citer

François Alouges, Aline Lefebvre-Lepot, Alain Sellier. Motion of a solid particle in a bounded viscous flow using the Sparse Cardinal Sine Decomposition. Meccanica, 2020, 55, pp.403-419. ⟨10.1007/s11012-019-00993-6⟩. ⟨hal-02387251⟩
57 Consultations
0 Téléchargements

Altmetric

Partager

More