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Mimetic Staggered Discretization of Incompressible Navier–Stokes for Barycentric Dual Mesh

  • René Beltman
  • Martijn J. H. Anthonissen
  • Barry Koren
Conference paper
Part of the Springer Proceedings in Mathematics & Statistics book series (PROMS, volume 200)

Abstract

A staggered discretization of the incompressible Navier–Stokes equations is presented for polyhedral non orthogonal nonsmooth meshes admitting a barycentric dual mesh. The discretization is constructed by using concepts of discrete exterior calculus. The method strictly conserves mass, momentum and energy in the absence of viscosity.

Keywords

Mimetic finite-volume discretizations Barycentric dual mesh 

MSC (2010):

65M08 65N08 76D05 

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Copyright information

© Springer International Publishing AG 2017

Authors and Affiliations

  • René Beltman
    • 1
  • Martijn J. H. Anthonissen
    • 1
  • Barry Koren
    • 1
  1. 1.Department of Mathematics and Computer ScienceEindhoven University of TechnologyEindhovenThe Netherlands

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