Collocated finite-volume method for the incompressible Navier-Stokes problem

DOI10.1515/jnma-2020-0008zbMath1473.65146OpenAlexW3084003684MaRDI QIDQ2025329

Kirill M. Terekhov

Publication date: 12 May 2021

Published in: Journal of Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jnma-2020-0008

zbMATH Keywords

collocation methodNavier-Stokes equationsfinite volume methodinf-sup condition

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05) Finite volume methods applied to problems in fluid mechanics (76M12) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)

Related Items (5)

General finite-volume framework for saddle-point problems of various physics ⋮ Presure boundary conditions in the collocated finite-volume method for the steady Navier-Stokes equations ⋮ Finite volume method for coupled subsurface flow problems. II: Poroelasticity ⋮ Pressure-correction projection method for modelling the incompressible fluid flow in porous media ⋮ Fully-Implicit Collocated Finite-Volume Method for the Unsteady Incompressible Navier–Stokes Problem

Uses Software

• Gmsh
• BiCGstab
• Netgen
• INMOST

Cites Work

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