### Abstract

In this note, we discuss the application of a methodology combining distributed Lagrange multiplier based fictitious domain techniques, finite-element approximations and operator splitting, to the numerical simulation of the motion of a tripole-like rigid body falling in a Newtonian incompressible viscous fluid. The motion of the body is driven by the hydrodynamical forces and gravity. The numerical simulation shows that the distribution of mass of this rigid body and added moment of inertia compared to a simple cylinder (circular or elliptic) plays a significant role on the particle-fluid interaction. Apparently, for the parameters examined, the action of the moving rigid body on the fluid is stronger than the hydrodynamic forces acting on the rigid body.

Original language | English (US) |
---|---|

Pages (from-to) | 743-747 |

Number of pages | 5 |

Journal | Applied Mathematics Letters |

Volume | 15 |

Issue number | 6 |

State | Published - Aug 2002 |

Externally published | Yes |

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### ASJC Scopus subject areas

- Computational Mechanics
- Control and Systems Engineering
- Applied Mathematics
- Numerical Analysis

### Cite this

*Applied Mathematics Letters*,

*15*(6), 743-747.

**Numerical simulation of the sedimentation of a tripole-like body in an incompressible viscous fluid.** / Juárez, L. H.; Glowinski, R.; Pettitt, Bernard.

Research output: Contribution to journal › Article

*Applied Mathematics Letters*, vol. 15, no. 6, pp. 743-747.

}

TY - JOUR

T1 - Numerical simulation of the sedimentation of a tripole-like body in an incompressible viscous fluid

AU - Juárez, L. H.

AU - Glowinski, R.

AU - Pettitt, Bernard

PY - 2002/8

Y1 - 2002/8

N2 - In this note, we discuss the application of a methodology combining distributed Lagrange multiplier based fictitious domain techniques, finite-element approximations and operator splitting, to the numerical simulation of the motion of a tripole-like rigid body falling in a Newtonian incompressible viscous fluid. The motion of the body is driven by the hydrodynamical forces and gravity. The numerical simulation shows that the distribution of mass of this rigid body and added moment of inertia compared to a simple cylinder (circular or elliptic) plays a significant role on the particle-fluid interaction. Apparently, for the parameters examined, the action of the moving rigid body on the fluid is stronger than the hydrodynamic forces acting on the rigid body.

AB - In this note, we discuss the application of a methodology combining distributed Lagrange multiplier based fictitious domain techniques, finite-element approximations and operator splitting, to the numerical simulation of the motion of a tripole-like rigid body falling in a Newtonian incompressible viscous fluid. The motion of the body is driven by the hydrodynamical forces and gravity. The numerical simulation shows that the distribution of mass of this rigid body and added moment of inertia compared to a simple cylinder (circular or elliptic) plays a significant role on the particle-fluid interaction. Apparently, for the parameters examined, the action of the moving rigid body on the fluid is stronger than the hydrodynamic forces acting on the rigid body.

UR - http://www.scopus.com/inward/record.url?scp=33644485495&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=33644485495&partnerID=8YFLogxK

M3 - Article

VL - 15

SP - 743

EP - 747

JO - Applied Mathematics Letters

JF - Applied Mathematics Letters

SN - 0893-9659

IS - 6

ER -