TY - JOUR
T1 - An efficient boundary-type meshfree method for analysis of two-dimensional laser heating problems
AU - Mohammadi, M.
AU - Hematiyan, M. R.
AU - Shiah, Y. C.
N1 - Funding Information:
The financial support from the Ministry of Science and Technology, Taiwan, Republic of China (MOST 109-2221-E-006-011) is gratefully acknowledged by the corresponding author.
Publisher Copyright:
© 2021 Elsevier Ltd
PY - 2021/11/1
Y1 - 2021/11/1
N2 - The purpose of this study is to formulate a truly and effective boundary-type meshfree method for analysis of 2D transient heat conduction problems including moving laser heat sources. Being based on the method of fundamental solutions (MFS), the present work formulates new time-dependent formulations to solve the problem directly in the time-domain. The motion path and the intensity of the laser heat source over a moving area can be arbitrary functions of time and space. In the proposed formulations, the particular solution associated to the heat source function is evaluated using a simple approach without using any internal points or cells. By solving two example problems, the efficiency and accuracy of the proposed method are demonstrated. The analyses show that the presented boundary-type meshfree method is relatively more efficient than other domain-type techniques. From the analyses, it is also observed that very accurate results can be obtained by the proposed method employing large time-step size and small number of collocation points.
AB - The purpose of this study is to formulate a truly and effective boundary-type meshfree method for analysis of 2D transient heat conduction problems including moving laser heat sources. Being based on the method of fundamental solutions (MFS), the present work formulates new time-dependent formulations to solve the problem directly in the time-domain. The motion path and the intensity of the laser heat source over a moving area can be arbitrary functions of time and space. In the proposed formulations, the particular solution associated to the heat source function is evaluated using a simple approach without using any internal points or cells. By solving two example problems, the efficiency and accuracy of the proposed method are demonstrated. The analyses show that the presented boundary-type meshfree method is relatively more efficient than other domain-type techniques. From the analyses, it is also observed that very accurate results can be obtained by the proposed method employing large time-step size and small number of collocation points.
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U2 - 10.1016/j.enganabound.2021.08.013
DO - 10.1016/j.enganabound.2021.08.013
M3 - Article
AN - SCOPUS:85113314778
SN - 0955-7997
VL - 132
SP - 460
EP - 468
JO - Engineering Analysis with Boundary Elements
JF - Engineering Analysis with Boundary Elements
ER -