Similarity reduction of a (3+1) Navier‐Stokes system

DOI10.1108/02644400610680342zbMath1182.76936OpenAlexW1987278002MaRDI QIDQ5190534

Fakhar Kamran, Chen Zuchi, Ji Xiaoda, Yi. Cheng

Publication date: 18 March 2010

Published in: Engineering Computations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1108/02644400610680342

zbMATH Keywords

differential equationsflow

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Dimensional analysis and similarity applied to problems in fluid mechanics (76M55)

Related Items

A class of exact solutions to the three-dimensional incompressible Navier-Stokes equations ⋮ On some new exact solutions of incompressible steady state Navier-Stokes equations ⋮ On a special class of analytical solutions to the three-dimensional incompressible Navier-Stokes equations

Uses Software

• SYMMGRP
• MACSYMA
• LIE
• SYMMGRP.MAX

Cites Work

• Unnamed Item
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• The infinitesimal group of the Navier-Stokes equations
• The computer calculation of Lie point symmetries of large systems of differential equations
• On boundary conditions and numerical methods for the unsteady incompressible Navier-Stokes equations
• Relationship between symmetries and conservation laws
• A parallel block multi-level preconditioner for the 3D incompressible Navier-Stokes equations.
• Lie group analysis of the axisymmetric flow
• LIE, a PC program for Lie analysis of differential equations