Explicit finite element solution to transient convective-conductive heat transfer problems
Abstract
Explicit finite element approximations have been developed to solve problems in transient conductive-convective heat transfer. A consistent mass lumping procedure was devised for eight-node quadrilaterals and six-node triangles. A technique was proposed which improves the frequency response of lumped-explicit schemes; and an alternative method to the Poisson equation for solving the incompressible Navier-Stokes equations was introduced. Preliminary results for pure convection and convection-diffusion 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;
- Navier-Stokes Equation;
- Numerical Integration;
- Quadratic Equations;
- Time Functions;
- Weighting Functions;
- Fluid Mechanics and Heat Transfer