Journal
JOURNAL OF COMPUTATIONAL PHYSICS
Volume 169, Issue 2, Pages 363-426Publisher
ACADEMIC PRESS INC
DOI: 10.1006/jcph.2000.6542
Keywords
fictitious domain methods; finite element methods; distributed Lagrange multipliers; Navier-Stokes equations; particulate flow; liquid-solid mixtures; store separation; sedimentation; fluidization; Rayleigh-Taylor instabilities
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In this article we discuss a methodology that allows the direct numerical simulation of incompressible viscous fluid flow past moving rigid bodies. The simulation methods rest essentially on the combination of: (a) Lagrange-multiplier-based fictitious domain methods which allow the fluid Row computations to be done in a fixed flow region. (b) Finite element approximations of the Navier-Stokes equations occurring in the global model. (c) Time discretizations by operator splitting schemes in order to treat optimally the various operators present in the model. The above methodology is particularly well suited to the direct numerical simulation of particulate flow, such as the How of mixtures of rigid solid particles and incompressible viscous fluids, possibly non-Newtonian. We conclude this article with the presentation of the results of various numerical experiments, including the simulation of store separation for rigid airfoils and of sedimentation and fluidization phenomena in two and three dimensions. (C) 2001 Academic Press.
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