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Distributed Lagrange multipliers methods for particulate flows. (English) Zbl 0919.76077

Bristeau, M.-O. (ed.) et al., Computational science for the 21st century. Dedicated to Prof. Roland Glowinski on the occasion of his 60th birthday. Symposium, Tours, France, May 5–7, 1997. Chichester: John Wiley & Sons. 270-279 (1997).
Summary: We discuss the application of the Lagrange multiplier based fictitious domain method to the numerical simulation of incompressible viscous flow (modelled by the Naver-Stokes equations) around moving bodies. The solution method combines finite element approximations, time discretization by operator splitting, and conjugate gradient algorithms for the solution of linearly constrained quadratic minimization problems coming from the splitting method. We present the results of numerical experiments for two sedimenting cylinders in a two-dimensional channel.
For the entire collection see [Zbl 0889.00026].

MSC:

76M30 Variational methods applied to problems in fluid mechanics
76M10 Finite element methods applied to problems in fluid mechanics
76D05 Navier-Stokes equations for incompressible viscous fluids
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