A complementary volume approach for modelling three‐dimensional Navier—Stokes equations using dual delaunay/voronoi tessellations

DOI10.1108/EUM0000000004109zbMath0815.76041OpenAlexW2004602241MaRDI QIDQ4318571

Thomas A. Porsching, Charles Allan Hall, James C. Cavendish

Publication date: 23 February 1995

Published in: International Journal of Numerical Methods for Heat & Fluid Flow (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1108/eum0000000004109

zbMATH Keywords

automatic grid generationcovolume equation generationdual variable reduction

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Finite difference methods applied to problems in fluid mechanics (76M20) Finite element methods applied to problems in fluid mechanics (76M10)

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Discrete calculus methods for diffusion ⋮ A discrete calculus analysis of the Keller box scheme and a generalization of the method to arbitrary meshes ⋮ Conservation properties of unstructured staggered mesh schemes ⋮ Discrete exterior calculus discretization of incompressible Navier-Stokes equations over surface simplicial meshes ⋮ Characteristic‐mixed covolume methods for advection‐dominated diffusion problems ⋮ Accuracy and conservation properties of a three-dimensional unstructured staggered mesh scheme for fluid dynamics ⋮ A general mixed covolume framework for constructing conservative schemes for elliptic problems ⋮ A moving unstructured staggered mesh method for the simulation of incompressible free-surface flows.

Cites Work

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