Name
Title | ||
|---|---|---|
Numerical Simulation of the Sedimentation of Rigid Bodies in an Incompressible Viscous Fluid by Lagrange Multiplier/Fictitious Domain Methods Combined with the Taylor–Hood Finite Element Approximation |
Abstract | ||
|---|---|---|
In this work we discuss an application of a distributed Lagrange multiplier based fictitious domain method, to the numerical simulation of the motion of rigid bodies settling in an incompressible viscous fluid. The solution method combines a third order finite element approximation, and time integration by operator splitting. Convergence results are shown for a simple Stokes flow with a circular rigid body that rotates with constant angular velocity. Results of numerical experiments for two sedimenting cylinders in a two-dimensional channel are presented. We present also results for the sedimentation of 100 and 504 cylinders. |
Year | DOI | Venue |
|---|---|---|
2002 | 10.1023/A:1015191101744 | Journal of Scientific Computing |
Keywords | Field | DocType |
lagrange multiplier,incompressible viscous fluid,fictitious domain method,constant angular velocity,numerical experiment,solution method,rigid body,circular rigid body,convergence result,fictitious domain,numerical simulation,hood finite element approximation,distributed Lagrange multipliers,Navier–Stokes equations,moving rigid bodies,finite element,operator splitting | Viscous liquid,Lagrange multiplier,Mathematical analysis,Fictitious domain method,Finite element method,Rigid body,Numerical analysis,Stokes flow,Mathematics,Navier–Stokes equations | Journal |
Volume | Issue | ISSN |
17 | 1-4 | 1573-7691 |
Citations | PageRank | References |
2 | 0.73 | 0 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| L. H. Juárez | 1 | 2 | 0.73 |
| Roland Glowinski | 2 | 188 | 50.44 |
| T. W. Pan | 3 | 2 | 0.73 |