Numerical algorithms for flows in the nodes of 2D models of pipe networks

DOI10.1006/jcph.1996.5609zbMath0879.76060OpenAlexW2032287514MaRDI QIDQ1357360

Vladimir Karlin

Publication date: 29 January 1998

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jcph.1996.5609

zbMATH Keywords

nonlocal boundary conditionsupwind finite difference schemescardiovascular operationdecomposition of computational domainsexternal circulation networkimplicit stabilization algorithms

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Finite difference methods applied to problems in fluid mechanics (76M20) Physiological flows (76Z05)

Uses Software

• CMPGRD

Cites Work

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• Higher-order-accurate upwind schemes for solving the compressible Euler and Navier--Stokes equations
• Composite overlapping meshes for the solution of partial differential equations
• Preconditioned methods for solving the incompressible and low speed compressible equations
• Time integration schemes for the unsteady incompressible Navier-Stokes equations
• A numerical method for solving incompressible viscous flow problems
• The numerical solution of the flow in a general bifurcating channel at moderately high Reynolds number using boundary‐fitted co‐ordinates, primitive variables and Newton iteration
• Comparison of implicit schemes for the incompressible Navier-Stokes equations
• Inverse formulation and finite difference solution for flow from a circular orifice

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