Numerical solution of recirculating flow by a simple finite element recursion relation

DOI10.1016/0045-7930(80)90012-2zbMath0453.76025OpenAlexW2093704047MaRDI QIDQ1149321

R. E. Cooper, Darrell W. Pepper

Publication date: 1980

Published in: Computers and Fluids (Search for Journal in Brave)

Full work available at URL: https://digital.library.unt.edu/ark:/67531/metadc1401162/

zbMATH Keywords

fractional stepstwo-dimensionalweighted residualstime-dependentsecond-order accuraterecirculating flowfourth-order accurateimplicit time integration algorithmsliding platestreamfunction-vorticitythermal Boussinesq cavity

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Related Items

A pseudospectral method for the solution of the two-dimensional Navier- Stokes equations in the primitive variable formulation, Pseudospectral methods for solution of the incompressible Navier-Stokes equations, Numerical solution of recirculating flow by a simple finite element recursion relation, Comment on: A finite element numerical solution of natural convection in enclosed cavities by C. Taylor and A. Z. Ijam, On an alternating direction implicit finite element method for flow problems

Cites Work

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• Utility of a finite element solution algorithm for initial-value problems
• Review of computing methods for recirculating flows
• Numerical solution of recirculating flow by a simple finite element recursion relation
• Viscous flow solutions with a cubic spline approximation
• Highly accurate compact implicit methods and boundary conditions
• Numerical study of viscous flow in a cavity
• Two Methods of Galerkin Type Achieving Optimum $L^2 $ Rates of Convergence for First Order Hyperbolics
• Higher-Order Numerical Solutions Using Cubic Splines
• On cavity flow at high Reynolds numbers