TY - JOUR
T1 - A distributed Lagrange multiplier/fictitious domain method for the simulation of flow around moving rigid bodies
T2 - Application to particulate flow
AU - Glowinski, Roland
AU - Pan, Tsorng Whay
AU - Hesla, Todd I.
AU - Joseph, Daniel D.
AU - Periaux, Jacques
PY - 2000/4/14
Y1 - 2000/4/14
N2 - In this article we discuss the application of a Lagrange multiplier based fictitious domain method to the numerical simulation of incompressible viscous flow 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 finite 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 flow around a NACA0012 airfoil with a fixed center, but free to rotate, then the sedimentation of circular cylinders in 2-D channels, and finally the sedimentation of spherical balls in cylinders with square cross-sections. (C) 2000 Elsevier Science S.A. All rights reserved.
AB - In this article we discuss the application of a Lagrange multiplier based fictitious domain method to the numerical simulation of incompressible viscous flow 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 finite 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 flow around a NACA0012 airfoil with a fixed center, but free to rotate, then the sedimentation of circular cylinders in 2-D channels, and finally the sedimentation of spherical balls in cylinders with square cross-sections. (C) 2000 Elsevier Science S.A. All rights reserved.
KW - Fictitious domain methods
KW - Liquid-solid mixtures
KW - Navier-Stokes equations
KW - Particulate flow
KW - Rayleigh-Taylor instabilities
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U2 - 10.1016/S0045-7825(99)00230-3
DO - 10.1016/S0045-7825(99)00230-3
M3 - Article
AN - SCOPUS:0034646896
VL - 184
SP - 241
EP - 267
JO - Computer Methods in Applied Mechanics and Engineering
JF - Computer Methods in Applied Mechanics and Engineering
SN - 0374-2830
IS - 2-4
ER -