Analytical solutions for the incompressible viscous flow within a rectangular domain

DOI10.1016/0045-7825(83)90091-9zbMath0505.76042OpenAlexW2067563139MaRDI QIDQ1836550

Masayuki Okabe, Noboru Kikuchi

Publication date: 1983

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/2027.42/25102

zbMATH Keywords

slowboundary integral techniquessimple rectangular domainvelocity, pressure and stream function

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Navier-Stokes equations for incompressible viscous fluids (76D05) Basic methods in fluid mechanics (76M99)

Cites Work

• Contact problems involving forces and moments for incompressible linearly elastic materials
• Singularity and positioning constants in Poisson's equation with a point source of unit intensity
• Some general Lagrange interpolations over simplex finite elements with reference to derivative singularities
• Analytical solutions of some steady-state electrical problems in the rectangular domain
• Thep-Version of the Finite Element Method
• Finite-element analysis of slow incompressible viscous fluid motion
• Modified Gurtin's variational principles in the linear dynamic theory of viscoelasticity
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