TY - JOUR
T1 - A new meshless “fragile points method” and a local variational iteration method for general transient heat conduction in anisotropic nonhomogeneous media. Part II
T2 - Validation and discussion
AU - Guan, Yue
AU - Grujicic, Rade
AU - Wang, Xuechuan
AU - Dong, Leiting
AU - Atluri, Satya N.
N1 - Publisher Copyright:
© 2020, © 2020 Taylor & Francis Group, LLC.
PY - 2020/8/2
Y1 - 2020/8/2
N2 - In the first part of this two-paper series, a new computational approach is presented for analyzing transient heat conduction problems in anisotropic nonhomogeneous media. The approach consists of a truly meshless Fragile Points Method (FPM) being utilized for spatial discretization, and a Local Variational Iteration (LVI) scheme for time discretization. In the present article, extensive numerical results are provided as validations, followed by a discussion on the recommended computational parameters. The FPM + LVIM approach shows its capability in solving 2 D and 3 D transient heat transfer problems in complex geometries with mixed boundary conditions, including preexisting cracks. Both functionally graded materials and composite materials are considered. It is shown that, with appropriate computational parameters, the FPM + LVIM approach is not only accurate, but also efficient, and has reliable stability under relatively large time intervals.
AB - In the first part of this two-paper series, a new computational approach is presented for analyzing transient heat conduction problems in anisotropic nonhomogeneous media. The approach consists of a truly meshless Fragile Points Method (FPM) being utilized for spatial discretization, and a Local Variational Iteration (LVI) scheme for time discretization. In the present article, extensive numerical results are provided as validations, followed by a discussion on the recommended computational parameters. The FPM + LVIM approach shows its capability in solving 2 D and 3 D transient heat transfer problems in complex geometries with mixed boundary conditions, including preexisting cracks. Both functionally graded materials and composite materials are considered. It is shown that, with appropriate computational parameters, the FPM + LVIM approach is not only accurate, but also efficient, and has reliable stability under relatively large time intervals.
UR - http://www.scopus.com/inward/record.url?scp=85083589733&partnerID=8YFLogxK
U2 - 10.1080/10407790.2020.1747283
DO - 10.1080/10407790.2020.1747283
M3 - Article
AN - SCOPUS:85083589733
SN - 1040-7790
VL - 78
SP - 86
EP - 109
JO - Numerical Heat Transfer, Part B: Fundamentals
JF - Numerical Heat Transfer, Part B: Fundamentals
IS - 2
ER -