Engineering and Technology - Research article
A consecutive-interpolation finite element method for heat transfer analysis
- Ho Chi Minh city University of Technology, VNU-HCM
- Dept. of Mechanical and Environmental Informatics, Tokyo Institute of Technology, 2-12-1-W8-22, Ookayama, Meguro-ku, Tokyo, 152-8552, Japan
Correspondence to:
Minh Ngoc Nguyen,
Ho Chi Minh city University of Technology, VNU-HCM.
Email:
pvphuc@vnuhcm.edu.vn.
Published:
2015-06-30
Abstract
A consecutive-interpolation 4-node quadrilateral finite element (CQ4) is further extended to solve twodimensional heat transfer problems, taking the average nodal gradients as interpolation condition, resulting in highorder continuity solution without smoothing operation and without increasing the number of degrees of freedom. The implementation is straightforward and can be easily integrated into any existing FEM code. Several numerical examples are investigated to verify the accuracy and efficiency of the proposed formulation in two-dimensional heat transfer analysis.