Accurate explicit finite element schemes for convectiveconductive heat transfer problems
Abstract
The present paper discusses explicit finite element schemes for transient convectiveconductive heat transfer problems. Methods for achieving consistent diagonal masses and coherent internal nodal loads are presented first. Then, the properties of the discrete convectivediffusion equation are analyzed with regard to the possible choices for mass representation and time integration. A method for improving the frequency response of lumped explicit schemes is suggested. The final sections deal with the explicit solution of the incompressible NavierStokes equations by a fractional step method which employs a Galerkin equation for the pressure field. As an illustration, the problem of free thermal convection in a square cavity is solved. Results for velocities, pressures and temperatures are displayed.
 Publication:

Finite Element Methods for Convection Dominated Flows
 Pub Date:
 1979
 Bibcode:
 1979femc.proc..149D
 Keywords:

 Computational Fluid Dynamics;
 Conductive Heat Transfer;
 Convective Heat Transfer;
 Finite Element Method;
 Free Convection;
 Galerkin Method;
 Incompressible Flow;
 NavierStokes Equation;
 Pressure Distribution;
 Weighting Functions;
 Fluid Mechanics and Heat Transfer