Finite element, stream function-vorticity solution of steady laminar natural convection

DOI10.1002/fld.1650020404zbMath0497.76078OpenAlexW2067109487MaRDI QIDQ3962699

W. N. R. Stevens

Publication date: 1982

Published in: International Journal for Numerical Methods in Fluids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/fld.1650020404

zbMATH Keywords

modellingsteady state solutionssquare cavitytwo-dimensionalNewton-Raphson iterationboundary vorticity formulae or iterative satisfaction of no-slip boundary condition avoidedflow boundary treatmentno form of asymmetric differencing requiredstream function-vorticity finite element solution

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Free convection (76R10) Basic methods in fluid mechanics (76M99)

Related Items

Interaction of surface radiation and variable property natural convection in a differentially heated square cavity – a finite element analysis, Finite element analysis of conjugate natural convection in a square enclosure with a conducting vertical wall, Finite element solution for advection and natural convection flows, Finite element solution of steady natural convection equations by a false diffusion method, A fully-discrete virtual element method for the nonstationary Boussinesq equations in stream-function form, Simple finite element method in vorticity formulation for incompressible flows, A comparative study of porous media models in a differentially heated square cavity using a finite element method, A finite element discretization of the streamfunction formulation of the stationary quasi-geostrophic equations of the Ocean, A review of vorticity conditions in the numerical solution of the \(\zeta-\psi\) equations, Some current CFD issues relevant to the incompressible Navier-Stokes equations