pversion hierarchical axisymmetric shell element for heat conduction
Abstract
A completely hierarchical axisymmetric shell finite element is developed for heat conduction studies. The element temperature approximation can be of arbitrary polynomial orders pxi and peta along the length (xi) and the transverse (eta) directions of the element. In this polynomial approximation concept (papproximation or pversion), the finite element discretization remains fixed, and the accuracy of the solution is improved by increasing the order of approximation for the elements, thereby increasing the total number of degrees of freedom for the entire model. The element temperature approximation is hierarchical. The element matrices, the vectors of generalized nodal variables, and the equivalent nodal heat vectors are all hierarchical, i.e., the element properties corresponding to the polynomial orders pxi and peta are a complete subset of those corresponding to the orders pxi + 1 and peta + 1. The two numerical examples presented demonstrate the accuracy and computational efficiency of the method.
 Publication:

Numerical Heat Transfer
 Pub Date:
 September 1991
 Bibcode:
 1991NumHT..20...81S
 Keywords:

 Conductive Heat Transfer;
 Finite Element Method;
 Shells (Structural Forms);
 Polynomials;
 Temperature Distribution;
 Vectors (Mathematics);
 Fluid Mechanics and Heat Transfer