A Lagrange multiplier/fictitious domain/collocation method for solid-liquid flows

T.-W. Pan.


In this article we discuss the application of a Lagrange multiplier based fictitious domain method to the numerical simulation of incompressible viscous flow modelled by the Navier-Stokes equations around moving rigid bodies; the rigid body motions are due to hydrodynamical forces and gravity. The solution method combines finite element approximations, time discretization by operator splitting and conjugate gradient algorithms for the solution of the linearly constrained quadratic minimization problems coming from the splitting method. The results of numerical experiments for 1008 sedimenting cylinders in a two-dimensional channel and two balls sedimenting in a rectangular cylinder are presented.

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Last updated October 16, 2000