A distributed Lagrange multiplier/®ctitious domain method for the simulation of ̄ow around moving rigid bodies: application to particulate ̄ow
نویسندگان
چکیده
In this article we discuss the application of a Lagrange multiplier based ®ctitious domain method to the numerical simulation of incompressible viscous ̄ow modeled by the Navier±Stokes equations around moving rigid bodies; the rigid body motion is due to hydrodynamical forces and gravity. The solution method combines ®nite element approximations, time discretization by operators splitting and conjugate gradient algorithms for the solution of the linearly constrained quadratic minimization problems coming from the splitting method. We conclude this article by the presentation of numerical results concerning the simulation of an incompressible viscous ̄ow around a NACA0012 airfoil with a ®xed center, but free to rotate, then the sedimentation of circular cylinders in 2-D channels, and ®nally the sedimentation of spherical balls in cylinders with square cross-sections. Ó 2000 Elsevier Science S.A. All rights reserved.
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