On Modeling the Grain Settling through Viscous Incompressible Fluid Problem using Smoothed Particle Hydrodynamics Method
https://doi.org/10.15514/ISPRAS-2024-36(4)-15
Abstract
In this paper was formulates the settling velocity determining problem for a single particle. To solve it, an original version of the smoothed particle method (SPH) is proposed where settling particle affects on surrounding fluid particles movement. Herewith the calculation of forces acting on particle (except for inertial forces which takes attached mass effect) is performed according by analytical mechanics formulas for a material point. This mathematical formulation and calculation algorithm was verificated by using open source code «SPH_Lab2d». Dependences for the particle settling velocity on its diameter are obtained for various cases of fluid volume discretization. The results demonstrate a good conformance this property to values, that determined by the experimental data and known phenomenological dependences for quartz sand.
About the Authors
Igor Ivanovich POTAPOV
Computer center of Far East Branch of the Russian Academy of Sciences
Russian Federation
Russian Federation
Dr. Sci. (Phys.-Math.), chief researcher of the Computer center of Far East Branch of the Russian Academy of Sciences. The research interests: channel processes for flat rivers with an incoherent bed, river hydrodynamics, bed instability of the river channel, and mathematical modeling of the incoherent bed evolution under the influence of a river flow.
Olga Vladimirovna RESHETNIKOVA
Computer center of Far East Branch of the Russian Academy of Sciences
Russian Federation
Russian Federation
Cand. Sci. (Tech.), researcher of the Computer center of Far East Branch of the Russian Academy of Sciences. The research interests: analysis and mathematical modeling of mechanical processes in continuous media.
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Review
For citations:
POTAPOV I.I., RESHETNIKOVA O.V. On Modeling the Grain Settling through Viscous Incompressible Fluid Problem using Smoothed Particle Hydrodynamics Method. Proceedings of the Institute for System Programming of the RAS (Proceedings of ISP RAS). 2024;36(4):191-202. (In Russ.) https://doi.org/10.15514/ISPRAS-2024-36(4)-15
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