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An efficient multigrid-FEM method for the simulation of solid-liquid two-phase flows. (English) Zbl 1110.76032
Summary: We present an efficient multigrid-FEM method for detailed simulation of solid-liquid two-phase flows with large number of moving particles. An explicit fictitious boundary method based on a FEM background grid which covers the whole computational domain and can be chosen independently from the particles of arbitrary shape, size and number is used to deal with the interactions between the fluid and the particles. Since the presented method treats the fluid part, the calculation of forces and motion of particles in a subsequent manner, it is potentially powerful to efficiently simulate real particulate flows with huge number of particles. The presented method is first validated using a series of simple test cases, and then, as an illustration, we present simulations of three big disks plunging into 2000 small particles, and of sedimentation of 10,000 particles in a cavity.

MSC:
76M10 Finite element methods applied to problems in fluid mechanics
76T20 Suspensions
65M55 Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs
Software:
FEATFLOW
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