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Numerical Study of an Indicator Function for Front-Tracking Methodsopen access

Authors
Jeong, DaraeHam, SeokjunYang, JunxiangHwang, YoungjinKwak, SoobinHua, HaoboXin, XuanKim, Junseok
Issue Date
31-7월-2022
Publisher
HINDAWI LTD
Citation
MATHEMATICAL PROBLEMS IN ENGINEERING, v.2022
Indexed
SCIE
SCOPUS
Journal Title
MATHEMATICAL PROBLEMS IN ENGINEERING
Volume
2022
URI
https://scholar.korea.ac.kr/handle/2021.sw.korea/143839
DOI
10.1155/2022/7381115
ISSN
1024-123X
Abstract
In this paper, we present a detailed derivation and numerical investigation of an indicator function for front-tracking methods. We use the discrete Dirac delta function to construct an indicator function from a set of Lagrangian points and solve the resulting discrete Poisson equation with the zero Dirichlet boundary condition using an iterative method. We present several computational tests to investigate the effect of parameters such as distance between points, uniformity of the distance, and types of the Dirac delta functions on the indicator function.
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