New finite element results for the square cavity

DOI10.1016/0045-7930(79)90028-8zbMath0409.76017OpenAlexW2078873588MaRDI QIDQ1259241

Mervyn D. Olson, Shih-Yu Tuann

Publication date: 1979

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

Full work available at URL: https://doi.org/10.1016/0045-7930(79)90028-8

zbMATH Keywords

Newton-RaphsonVorticesUpwindFinite Element MethodNavier-Stokes EquationsNonlinear SystemSquare CavityFinite Element ResultsHermitian InterpolationRecirculating FlowRestricted Variational Principle

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) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Jets and cavities, cavitation, free-streamline theory, water-entry problems, airfoil and hydrofoil theory, sloshing (76B10) Variational principles of physics (49S05)

Related Items (15)

A high order difference method for the steady state Navier-Stokes equations ⋮ Symmetric forms for finite element analysis of the Navier-Stokes problem ⋮ On the development of a nonprimitive Navier-Stokes formulation subject to rigorous implementation of a new vorticity integral condition ⋮ Development of a second order approximation for the Navier-Stokes equations ⋮ A comparison of numerical solutions of convective and divergence forms of the Navier-Stokes equations for the driven cavity problem ⋮ A stable vorticity-velocity formulation for viscous flow analysis ⋮ The calculation of some laminar flows using various discretisation schemes ⋮ Spurious solutions in driven cavity calculations ⋮ Numerical simulation of non-Newtonian power-law fluid flow in a lid-driven skewed cavity ⋮ Accurate \(\omega-\psi \) spectral solution of the singular driven cavity problem ⋮ Mixed finite element solution for the Navier-Stokes equations ⋮ Algorithmic and theoretical results on computation of incompressible viscous flows by finite element methods ⋮ Progress in symmetric formulation of the incompressible Navier-Stokes equations ⋮ A simple least-squares method for FE analysis of the Navier-Stokes problem ⋮ The effects of inertia on the structure of viscous corner eddies

Cites Work

• Review of computing methods for recirculating flows
• An evaluation of upwind and central difference approximations by a study of recirculating flow
• Polynomial interpolation methods for viscous flow calculations
• Natural convection in an enclosure with localized heating from below
• Numerical study of viscous flow in a cavity
• Numerical Studies of Prototype Cavity Flow Problems
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