An AUSM-based high-order compact method for solving Navier-Stokes equations

A high-order compact upwind algorithm is developed for solving Navier-Stokes equations in two-space dimensions. The method is based on advection upstream splitting method and fourth-order compact finite-difference schemes. The convection flux terms of the Navier-Stokes equations are discretized by a...

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Main Authors: Mawlood M.K., Basri S.N., Asrar W., Omar A.A., Mokhtar A.S., Ahmad M.M.H.M.
Other Authors: 6507670187
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Published: 2023
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Institution: Universiti Tenaga Nasional
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spelling my.uniten.dspace-298572023-12-28T16:57:58Z An AUSM-based high-order compact method for solving Navier-Stokes equations Mawlood M.K. Basri S.N. Asrar W. Omar A.A. Mokhtar A.S. Ahmad M.M.H.M. 6507670187 6603349880 6603244837 7202864035 56186284800 7402896178 Differential equations Dynamics Gases Algorithms Boundary layers Finite difference method Functions Laminar flow Navier Stokes equations Shock waves Two dimensional High order compact unwind algorithm Two space dimensions Aerospace engineering A high-order compact upwind algorithm is developed for solving Navier-Stokes equations in two-space dimensions. The method is based on advection upstream splitting method and fourth-order compact finite-difference schemes. The convection flux terms of the Navier-Stokes equations are discretized by a compact cell-centered differencing scheme while the diffusion flux terms are discretized by a central fourth-order compact scheme. The midpoint values of the flux functions required by the cell-centered compact scheme are determined by a fourth-order MUSCL approach. For steady-state solutions; first-order implicit time integration, with LU decomposition, is employed. Computed results for a laminar flow past a flat plate and the problem of shock-wave boundary layer interaction are presented. Final 2023-12-28T08:57:58Z 2023-12-28T08:57:58Z 2004 Article 10.1108/00022660410536032 2-s2.0-2542540557 https://www.scopus.com/inward/record.uri?eid=2-s2.0-2542540557&doi=10.1108%2f00022660410536032&partnerID=40&md5=60b557cbc9bb364949451ed95c418df9 https://irepository.uniten.edu.my/handle/123456789/29857 76 3 299 304 Scopus
institution Universiti Tenaga Nasional
building UNITEN Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Tenaga Nasional
content_source UNITEN Institutional Repository
url_provider http://dspace.uniten.edu.my/
topic Differential equations
Dynamics
Gases
Algorithms
Boundary layers
Finite difference method
Functions
Laminar flow
Navier Stokes equations
Shock waves
Two dimensional
High order compact unwind algorithm
Two space dimensions
Aerospace engineering
spellingShingle Differential equations
Dynamics
Gases
Algorithms
Boundary layers
Finite difference method
Functions
Laminar flow
Navier Stokes equations
Shock waves
Two dimensional
High order compact unwind algorithm
Two space dimensions
Aerospace engineering
Mawlood M.K.
Basri S.N.
Asrar W.
Omar A.A.
Mokhtar A.S.
Ahmad M.M.H.M.
An AUSM-based high-order compact method for solving Navier-Stokes equations
description A high-order compact upwind algorithm is developed for solving Navier-Stokes equations in two-space dimensions. The method is based on advection upstream splitting method and fourth-order compact finite-difference schemes. The convection flux terms of the Navier-Stokes equations are discretized by a compact cell-centered differencing scheme while the diffusion flux terms are discretized by a central fourth-order compact scheme. The midpoint values of the flux functions required by the cell-centered compact scheme are determined by a fourth-order MUSCL approach. For steady-state solutions; first-order implicit time integration, with LU decomposition, is employed. Computed results for a laminar flow past a flat plate and the problem of shock-wave boundary layer interaction are presented.
author2 6507670187
author_facet 6507670187
Mawlood M.K.
Basri S.N.
Asrar W.
Omar A.A.
Mokhtar A.S.
Ahmad M.M.H.M.
format Article
author Mawlood M.K.
Basri S.N.
Asrar W.
Omar A.A.
Mokhtar A.S.
Ahmad M.M.H.M.
author_sort Mawlood M.K.
title An AUSM-based high-order compact method for solving Navier-Stokes equations
title_short An AUSM-based high-order compact method for solving Navier-Stokes equations
title_full An AUSM-based high-order compact method for solving Navier-Stokes equations
title_fullStr An AUSM-based high-order compact method for solving Navier-Stokes equations
title_full_unstemmed An AUSM-based high-order compact method for solving Navier-Stokes equations
title_sort ausm-based high-order compact method for solving navier-stokes equations
publishDate 2023
_version_ 1806427324233547776