Algorithmic aspects of transient heat transfer problems in structures
Abstract
It is noted that the application of finite element or finite difference techniques to the solution of transient heat transfer problems in structures often results in a stiff system of ordinary differential equations. Such systems are usually handled most efficiently by implicit integration techniques which require the solution of large and sparse systems of algebraic equations. The assembly and solution of these systems using the incomplete Cholesky conjugate gradient algorithm is examined. Several examples are used to demonstrate the advantage of the algorithm over other techniques.
 Publication:

Computational Aspects of Heat Transfer in Structures
 Pub Date:
 1982
 Bibcode:
 1982caht.nasa...99H
 Keywords:

 Algorithms;
 Differential Equations;
 Heat Transfer;
 Problem Solving;
 Structural Analysis;
 Transient Heating;
 Algebra;
 Cholesky Factorization;
 Computation;
 Conjugates;
 Cylindrical Bodies;
 Finite Element Method;
 Matrices (Mathematics);
 Numerical Integration;
 Space Shuttle Orbiters;
 Spacecraft Structures;
 Fluid Mechanics and Heat Transfer