Explicit finite element solution to transient convectiveconductive heat transfer problems
Abstract
Explicit finite element approximations have been developed to solve problems in transient conductiveconvective heat transfer. A consistent mass lumping procedure was devised for eightnode quadrilaterals and sixnode triangles. A technique was proposed which improves the frequency response of lumpedexplicit schemes; and an alternative method to the Poisson equation for solving the incompressible NavierStokes equations was introduced. Preliminary results for pure convection and convectiondiffusion problems indicate that mass lumping and explicit time integration are capable of generating solutions of acceptable accuracy with a very simple computer program architecture.
 Publication:

Computer Methods in Fluids
 Pub Date:
 1980
 Bibcode:
 1980cmf..book..196D
 Keywords:

 Computational Fluid Dynamics;
 Conductive Heat Transfer;
 Convective Heat Transfer;
 Finite Element Method;
 Approximation;
 Computer Programs;
 Diffusion Theory;
 Free Convection;
 Linear Equations;
 NavierStokes Equation;
 Numerical Integration;
 Quadratic Equations;
 Time Functions;
 Weighting Functions;
 Fluid Mechanics and Heat Transfer