Space–time method for analyzing transient heat conduction in functionally graded materials
Journal
Numerical Heat Transfer, Part B: Fundamentals
Journal Volume
85
Journal Issue
7
Start Page
828
End Page
841
ISSN
10407790
Date Issued
2024
Author(s)
Abstract
In this study, a novel approach is presented for simulating transient heat conduction in functionally graded materials (FGM) with varying material properties only in the z direction. The proposed collocation method employs a meshless localized space–time radial basis function (LSTRBF), which yields a linear sparse matrix system, offering advantages over the global method in terms of scalability and suitability for multidimensional problems. Additionally, a novel shape parameter strategy, known as variable leave-one-out cross-validation (LOOCV), is introduced to enhance accuracy while overcoming conventional LOOCV limitations. Four benchmark numerical examples are utilized to demonstrate the simplicity, efficiency, accuracy, and stability of the method. Overall, the proposed LSTRBF method presents a promising alternative for efficiently and accurately simulating transient heat conduction in FGMs.
Subjects
3D transient heat transfer
functionally graded materials
localized space–time radial basis function
meshless method
multiquadrics
shape parameter
SDGs
Publisher
Taylor and Francis Ltd.
Type
journal article