Numerical Study of an Indicator Function for Front-Tracking Methods

Darae Jeong; Seokjun Ham; Junxiang Yang; Youngjin Hwang; Soobin Kwak; Haobo Hua; Xuan Xin; Junseok Kim

doi:10.1155/2022/7381115

Numerical Study of an Indicator Function for Front-Tracking Methods

Darae Jeong, Seokjun Ham, Junxiang Yang, Youngjin Hwang, Soobin Kwak, Haobo Hua, Xuan Xin, Junseok Kim

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Article number	7381115
Journal	Mathematical Problems in Engineering
Volume	2022
DOIs	https://doi.org/10.1155/2022/7381115
Publication status	Published - 2022

Bibliographical note

Publisher Copyright:
© 2022 Darae Jeong et al.

ASJC Scopus subject areas

General Mathematics
General Engineering

Access to Document

10.1155/2022/7381115

Cite this

@article{3c459541bc524d6585554ac436b55840,

title = "Numerical Study of an Indicator Function for Front-Tracking Methods",

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.",

author = "Darae Jeong and Seokjun Ham and Junxiang Yang and Youngjin Hwang and Soobin Kwak and Haobo Hua and Xuan Xin and Junseok Kim",

note = "Publisher Copyright: {\textcopyright} 2022 Darae Jeong et al.",

year = "2022",

doi = "10.1155/2022/7381115",

language = "English",

volume = "2022",

journal = "Mathematical Problems in Engineering",

issn = "1024-123X",

publisher = "Hindawi Publishing Corporation",

}

TY - JOUR

T1 - Numerical Study of an Indicator Function for Front-Tracking Methods

AU - Jeong, Darae

AU - Ham, Seokjun

AU - Yang, Junxiang

AU - Hwang, Youngjin

AU - Kwak, Soobin

AU - Hua, Haobo

AU - Xin, Xuan

AU - Kim, Junseok

PY - 2022

Y1 - 2022

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=85135742988&partnerID=8YFLogxK

U2 - 10.1155/2022/7381115

DO - 10.1155/2022/7381115

M3 - Article

AN - SCOPUS:85135742988

SN - 1024-123X

VL - 2022

JO - Mathematical Problems in Engineering

JF - Mathematical Problems in Engineering

M1 - 7381115

ER -

Numerical Study of an Indicator Function for Front-Tracking Methods

Abstract

Bibliographical note

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this