The consecutive-interpolation technique has been introduced as a tool enhanced into traditional finite element procedure to provide higher accurate solution. Furthermore, the gradient fields obtained by the proposed approach, namely consecutive-interpolation finite element method (CFEM), are smooth, instead of being discontinuous across nodes as in FEM. In this paper, the technique is applied to analyze transient heat transfer problems. In order increase time efficiency, a model- reduction technique, namely the proper orthogonal decomposition (POD), is employed. The idea is that a given large-size problem is projected into a small-size one which can be solved faster but still maintain the required accuracy. The optimal POD basis for projection is determined by mathematical operations. With the combination of the two novel techniques, i.e. consecutive-interpolation and proper orthogonal decomposition, the advantages of numerical solution obtained by CFEM are expected to be maintained, while computational time can be significantly saved.
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How to Cite
Ngoc Minh, N., Thanh Nha, N., Tich Thien, T., & Quoc Tinh, B. (2019). Efficient numerical analysis of transient heat transfer by Consecutive-Interpolation and Proper Orthogonal Decomposition. Science and Technology Development Journal, 20(K9), 5-14. https://doi.org/https://doi.org/10.32508/stdj.v20iK9.1671
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Science and Technology Development Journal (STDJ) (1859-0128) is the official journal of Viet Nam National University Ho Chi Minh City, Viet Nam, published by Viet Nam National University Ho Chi Minh City, Viet Nam. Science & Technology Development Journal is a multiple discipline science journal covering from natural science, engineering & technology, humanities, art, laws, economics, earth science, environment, social sciences and health sciences.