Graph Theory and Fluid Dynamics

DOI10.1137/0606064zbMath0579.05060OpenAlexW2009396217MaRDI QIDQ3701470

Robert Hartman, Karl Gustafson

Publication date: 1985

Published in: SIAM Journal on Algebraic Discrete Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0606064

zbMATH Keywords

fluid flownetwork-theoretic graph theorysparseness matrix

Mathematics Subject Classification ID

Graph theory (including graph drawing) in computer science (68R10) Navier-Stokes equations for incompressible viscous fluids (76D05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Navier-Stokes equations (35Q30) Graph theory (05C99)

Related Items (5)

The construction of a null basis for a discrete divergence operator ⋮ The derivation of minimal support basis functions for the discrete divergence operator ⋮ A discrete divergence free weak Galerkin finite element method for the Stokes equations ⋮ A complementary volume approach for modelling three‐dimensional Navier—Stokes equations using dual delaunay/voronoi tessellations ⋮ Construction of null bases for the divergence operator associated with incompressible Navier-Stokes equations

Cites Work

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• Vortex dynamics of cavity flows
• An application of network theory to the solution of implicit Navier- Stokes difference equations
• Divergence-Free Bases for Finite Element Schemes in Hydrodynamics
• Construction d’une base de fonctions $P_1$ non conforme à divergence nulle dans $\mathbb {R}^3$

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