Comparison of methods for solving nonlinear finite-element equations in heat transfer
We have derived two new techniques for solving the finite-element heat-transfer equations with highly nonlinear boundary conditions and material properties. When compared with the more commonly employed successive substitution and Newton-Raphson procedures, the new methods speed convergence rates and simultaneously increase the radius of convergence. We have observed reductions in computation time in excess of 80% when the new techniques are employed. The first method accelerates the standard Newton-Raphson approach when the degree of the nonlinearity is known (for example, radiation boundary conditions or a prescribed temperature dependence in the thermal conductivity). The second technique employs feedback to regulate the solution algorithm during execution. Comparisons of these techniques are given for several practical examples.
- Research Organization:
- Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
- DOE Contract Number:
- W-7405-ENG-36
- OSTI ID:
- 5314339
- Report Number(s):
- LA-UR-81-3321; CONF-820604-2; ON: DE82004338
- Resource Relation:
- Conference: AIAA/ASME joint conference on fluids, plasma, thermophysics and heat transfer, St Louis, MO, USA, 7 Jun 1982
- Country of Publication:
- United States
- Language:
- English
Similar Records
Iterative sequence for phase equilibrium calculations incorporating the Redlich--Kwong equation of state
Differential Geometric Methods for Solving Nonlinear Constrained Optimization Problems and a Related System of Nonlinear Equations: Global Analysis and Implementation