A Lagrangian method based on the Voronoi diagram for the incompressible Navier Stokes equations on the periodic domain.

C. Borgers, Charles Peskin

Research output: Chapter in Book/Report/Conference proceedingChapter

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 languageEnglish (US)
Title of host publicationUnknown Host Publication Title
PublisherSpringer-Verlag
Edition(eds.), Berlin, Fed. Rep. Germany, Springer-Verlag, 1985, p.8...
ISBN (Print)3540159924, 9783540159926
StatePublished - Jan 1 1985

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ASJC Scopus subject areas

  • Engineering(all)

Cite this

Borgers, C., & Peskin, C. (1985). A Lagrangian method based on the Voronoi diagram for the incompressible Navier Stokes equations on the periodic domain. In Unknown Host Publication Title ((eds.), Berlin, Fed. Rep. Germany, Springer-Verlag, 1985, p.8... ed.). Springer-Verlag.