### Abstract

Considers the fractional step method, and studies problems involving immersed boundaries in which the boundaries are modelled by a chain of Lagrangian particles connected by springs. Adapts the algorithm for the construction of Voronoi meshes for the case of a periodic domain, noting possible use of the Delauney triangulation. Proves that the discrete divergence and gradient operators are weakly consistent with the corresponding continuous operators. Describes a two level iteration for the solution of discrete Helmholtz equations and presents a vector field on to its divergence free part. Finally, obtains a fractional step method for the Navier-Stokes equations. (C.J.U.)

Original language | English (US) |
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Title of host publication | Unknown Host Publication Title |

Publisher | Springer-Verlag |

Edition | (eds.), Berlin, Fed. Rep. Germany, Springer-Verlag, 1985, p.8... |

ISBN (Print) | 3540159924, 9783540159926 |

State | Published - Jan 1 1985 |

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### ASJC Scopus subject areas

- Engineering(all)

### Cite this

*Unknown Host Publication Title*((eds.), Berlin, Fed. Rep. Germany, Springer-Verlag, 1985, p.8... ed.). Springer-Verlag.