Higher order compact-flowfield dependent variation (HOC-FDV) solution of one-dimensional problems

Higher order compact-flowfield dependent variation (HOC-FDV) solution of one-dimensional problems

In this paper, a novel higher order accurate scheme, namely high order compact flowfield dependent variation (HOC-FDV) method has been used to solve one-dimensional problems. The method is fourth order accurate in space and third order accurate in time. Four numerical problems; the nonlinear viscous...

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Main Authors: Elfaghi, Abdulhafid M., Asrar, Waqar, Omar, Ashraf Ali
Format: Article
Language:English
Published: The Hong Kong Polytechnic University 2010
Subjects:
TL500 Aeronautics
Online Access:http://irep.iium.edu.my/2062/
http://irep.iium.edu.my/2062/
http://irep.iium.edu.my/2062/1/vol4no3-9_OmarAA.pdf
id iium-2062
recordtype eprints
spelling iium-20622011-12-19T06:52:59Z http://irep.iium.edu.my/2062/ Higher order compact-flowfield dependent variation (HOC-FDV) solution of one-dimensional problems Elfaghi, Abdulhafid M. Asrar, Waqar Omar, Ashraf Ali TL500 Aeronautics In this paper, a novel higher order accurate scheme, namely high order compact flowfield dependent variation (HOC-FDV) method has been used to solve one-dimensional problems. The method is fourth order accurate in space and third order accurate in time. Four numerical problems; the nonlinear viscous Burger’s equation, transient Couette flow, the shock tube (Sod problem) and the interaction of two blast waves are solved to test the accuracy and the ability of the scheme to capture shock waves and contact discontinuities. The solution procedure consists of tri-diagonal matrix operations and produces an efficient solver. The results are compared with analytical solutions, the original FDV method, and other standard second order methods. The results also show that HOC-FDV scheme provides more accurate results and gives excellent shock capturing capabilities. The Hong Kong Polytechnic University 2010 Article PeerReviewed application/pdf en http://irep.iium.edu.my/2062/1/vol4no3-9_OmarAA.pdf Elfaghi, Abdulhafid M. and Asrar, Waqar and Omar, Ashraf Ali (2010) Higher order compact-flowfield dependent variation (HOC-FDV) solution of one-dimensional problems. Engineering Applications of Computational Fluid Mechanics , 4 (3). pp. 434-440. ISSN 1994-2060 http://jeacfm.cse.polyu.edu.hk/
repository_type Digital Repository
institution_category Local University
institution International Islamic University Malaysia
building IIUM Repository
collection Online Access
language English
topic TL500 Aeronautics
spellingShingle TL500 Aeronautics
Elfaghi, Abdulhafid M.
Asrar, Waqar
Omar, Ashraf Ali
Higher order compact-flowfield dependent variation (HOC-FDV) solution of one-dimensional problems
description In this paper, a novel higher order accurate scheme, namely high order compact flowfield dependent variation (HOC-FDV) method has been used to solve one-dimensional problems. The method is fourth order accurate in space and third order accurate in time. Four numerical problems; the nonlinear viscous Burger’s equation, transient Couette flow, the shock tube (Sod problem) and the interaction of two blast waves are solved to test the accuracy and the ability of the scheme to capture shock waves and contact discontinuities. The solution procedure consists of tri-diagonal matrix operations and produces an efficient solver. The results are compared with analytical solutions, the original FDV method, and other standard second order methods. The results also show that HOC-FDV scheme provides more accurate results and gives excellent shock capturing capabilities.
format Article
author Elfaghi, Abdulhafid M.
Asrar, Waqar
Omar, Ashraf Ali
author_facet Elfaghi, Abdulhafid M.
Asrar, Waqar
Omar, Ashraf Ali
author_sort Elfaghi, Abdulhafid M.
title Higher order compact-flowfield dependent variation (HOC-FDV) solution of one-dimensional problems
title_short Higher order compact-flowfield dependent variation (HOC-FDV) solution of one-dimensional problems
title_full Higher order compact-flowfield dependent variation (HOC-FDV) solution of one-dimensional problems
title_fullStr Higher order compact-flowfield dependent variation (HOC-FDV) solution of one-dimensional problems
title_full_unstemmed Higher order compact-flowfield dependent variation (HOC-FDV) solution of one-dimensional problems
title_sort higher order compact-flowfield dependent variation (hoc-fdv) solution of one-dimensional problems
publisher The Hong Kong Polytechnic University
publishDate 2010
url http://irep.iium.edu.my/2062/
http://irep.iium.edu.my/2062/
http://irep.iium.edu.my/2062/1/vol4no3-9_OmarAA.pdf
first_indexed 2023-09-18T20:09:36Z
last_indexed 2023-09-18T20:09:36Z
_version_ 1777407388548071424

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