Extension of piecewise exact solution method for two- and three-dimensional fluid flows SCIE SCOPUS

Cited 6 time in WEB OF SCIENCE Cited 6 time in Scopus
Title
Extension of piecewise exact solution method for two- and three-dimensional fluid flows
Author(s)
Kim, Hyoseob; Ahn, Jongsup; Jang, Changhwan; Jin, Jaeyoull; Jung, Byungsoon
KIOST Author(s)
Jin, Jae Youll(진재율)
Publication Year
2013-09
Abstract
Extended forms of a pseudo-numerical scheme for advection terms in fluid momentum equations are proposed here. The fact that analytic solution exists for the Burgers equation, if velocity distribution in space is straight for one-dimensional flow, was shown by Jang et al. Analytic solution also exists for two- or three-dimensional fluid flows, if the velocity components in two-or three-direction are linearly distributed in space, and the existing piecewise exact solution method is extended for two- and three-dimensions here. The analytic solution is adopted for computation of the advecting property of fluid momentum in two- or three-dimensional directions. This method produces zero numerical error during one time increment so that it is distinguished from any other numerical scheme which produces small or large numerical error within one time increment. The behavior of the new scheme is demonstrated for two-and three-dimensional examples. The nonlinear modifications of velocity profiles towards singularity with time progress are well simulated for three test cases. The computed maximum relative errors for a given condition for one-, two-, and three-dimensions become larger as the number of dimension increases. The scheme is believed to work well for two-and three-dimensional flows.
ISSN
1392-8716
URI
https://sciwatch.kiost.ac.kr/handle/2020.kiost/3126
Bibliographic Citation
JOURNAL OF VIBROENGINEERING, v.15, no.3, pp.1243 - 1254, 2013
Publisher
JOURNAL VIBROENGINEERING
Subject
DIFFERENCE-SCHEMES
Keywords
three-dimensional flows; PESM; advection; Burgers equation
Type
Article
Language
English
Document Type
Article
Publisher
JOURNAL VIBROENGINEERING
Related Researcher
Research Interests

Sediment transport,Coastal erosion,Numerical modeling,퇴적물이동,연안침식,수치모델

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