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An efficient method for particle-resolved simulations of neutrally buoyant spheres

García-Villalba, Manuel; Fuentes, Blanca; Dušek, Jan; Moriche, Manuel ORCID iD icon 1; Uhlmann, Markus ORCID iD icon 1
1 Institut für Hydromechanik (IFH), Karlsruher Institut für Technologie (KIT)


We present a simple modification of the direct-forcing immersed boundary method (IBM) proposed by Uhlmann [J. Comput. Phys, 2005] in order to enable it to be applied to particulate flows with solid-to-fluid density ratios around unity. The main difference with respect to the original formulation lies in the particle velocity update which is performed directly after the preliminary velocity field has been computed in the absence of any IBM volume forcing term. In addition, we apply the forcing term to the entire space occupied by the immersed solid object (instead of to the vicinity of its interface only). The present approach requires the evaluation of integrals of the velocity field over the volume occupied by the solid particle, which are evaluated efficiently as sums over the respective quantities available at particle-attached force points. The resulting method can be used seamlessly for density ratios down to $ρ_p/ρ_f>0.5$. The new formulation has been validated using three configurations: (i) lateral migration of a neutrally buoyant circular particle in two-dimensional Couette flow; (ii) the release from rest of a neutrally buoyant sphere in a free stream; (iii) the release of a particle in a free stream after an initial phase in which it is translationally fixed with an imposed angular velocity. ... mehr

Zugehörige Institution(en) am KIT Institut für Hydromechanik (IFH)
Publikationstyp Forschungsbericht/Preprint
Publikationsjahr 2023
Sprache Englisch
Identifikator KITopen-ID: 1000160115
Umfang 21 S.
Vorab online veröffentlicht am 25.05.2023
Nachgewiesen in arXiv
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