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Parametric study of an improved gamma differencing scheme based on normalized-variable formulation for low-speed flow with artificial compressibility technique

Based on the normalized-variable formulation (NVF), the modified GAMMA (MGAMMA) scheme previously devised for compressible flow calculations is now incorporated into an incompressible multigrid solver using the artificial compressibility (AC) technique on an unstructured grid. The MGAMMA scheme used...

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Main Authors: Ng K.-C., Yusoff M.-Z., Ng E.-Y.-K.
Other Authors: 55310814500
Format: Article
Published: 2023
Subjects:
Diffusion
Finite difference method
Flow patterns
Incompressible flow
Nozzles
Numerical analysis
Artificial compressibility techniques
Binnie-Green nozzle
Gamma differencing scheme
Multigrid solver
Compressible flow
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spelling my.uniten.dspace-298312023-12-28T16:57:49Z Parametric study of an improved gamma differencing scheme based on normalized-variable formulation for low-speed flow with artificial compressibility technique Ng K.-C. Yusoff M.-Z. Ng E.-Y.-K. 55310814500 7003976733 7201647536 Diffusion Finite difference method Flow patterns Incompressible flow Nozzles Numerical analysis Artificial compressibility techniques Binnie-Green nozzle Gamma differencing scheme Multigrid solver Compressible flow Based on the normalized-variable formulation (NVF), the modified GAMMA (MGAMMA) scheme previously devised for compressible flow calculations is now incorporated into an incompressible multigrid solver using the artificial compressibility (AC) technique on an unstructured grid. The MGAMMA scheme used in the present work is parameterized in order to further assess its accuracy and convergence compared to other well-known second-order high-resolution (HR) schemes, such as GAMMA and MINMOD. Testing is performed on three sets of problems: (1) advection of four scalar profiles; (2) flow in the Binnie-Green nozzle; and (3) flow past the NACA 0012 and NACA 4412 airfoils. It is shown that when lowering the diffusion-controlled parameter (? m), which serves as an attempt to reduce the numerical diffusion of the HR schemes tested, only the MGAMMA scheme is able to provide a converged solution while attaining solution accuracy. Copyright � Taylor & Francis Group, LLC. Final 2023-12-28T08:57:49Z 2023-12-28T08:57:49Z 2006 Article 10.1080/10407790600681385 2-s2.0-37849188719 https://www.scopus.com/inward/record.uri?eid=2-s2.0-37849188719&doi=10.1080%2f10407790600681385&partnerID=40&md5=1c966bbb913910c5570b55a067467917 https://irepository.uniten.edu.my/handle/123456789/29831 50 6 561 584 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 Diffusion
Finite difference method
Flow patterns
Incompressible flow
Nozzles
Numerical analysis
Artificial compressibility techniques
Binnie-Green nozzle
Gamma differencing scheme
Multigrid solver
Compressible flow
spellingShingle Diffusion
Finite difference method
Flow patterns
Incompressible flow
Nozzles
Numerical analysis
Artificial compressibility techniques
Binnie-Green nozzle
Gamma differencing scheme
Multigrid solver
Compressible flow
Ng K.-C.
Yusoff M.-Z.
Ng E.-Y.-K.
Parametric study of an improved gamma differencing scheme based on normalized-variable formulation for low-speed flow with artificial compressibility technique
description Based on the normalized-variable formulation (NVF), the modified GAMMA (MGAMMA) scheme previously devised for compressible flow calculations is now incorporated into an incompressible multigrid solver using the artificial compressibility (AC) technique on an unstructured grid. The MGAMMA scheme used in the present work is parameterized in order to further assess its accuracy and convergence compared to other well-known second-order high-resolution (HR) schemes, such as GAMMA and MINMOD. Testing is performed on three sets of problems: (1) advection of four scalar profiles; (2) flow in the Binnie-Green nozzle; and (3) flow past the NACA 0012 and NACA 4412 airfoils. It is shown that when lowering the diffusion-controlled parameter (? m), which serves as an attempt to reduce the numerical diffusion of the HR schemes tested, only the MGAMMA scheme is able to provide a converged solution while attaining solution accuracy. Copyright � Taylor & Francis Group, LLC.
author2 55310814500
author_facet 55310814500
Ng K.-C.
Yusoff M.-Z.
Ng E.-Y.-K.
format Article
author Ng K.-C.
Yusoff M.-Z.
Ng E.-Y.-K.
author_sort Ng K.-C.
title Parametric study of an improved gamma differencing scheme based on normalized-variable formulation for low-speed flow with artificial compressibility technique
title_short Parametric study of an improved gamma differencing scheme based on normalized-variable formulation for low-speed flow with artificial compressibility technique
title_full Parametric study of an improved gamma differencing scheme based on normalized-variable formulation for low-speed flow with artificial compressibility technique
title_fullStr Parametric study of an improved gamma differencing scheme based on normalized-variable formulation for low-speed flow with artificial compressibility technique
title_full_unstemmed Parametric study of an improved gamma differencing scheme based on normalized-variable formulation for low-speed flow with artificial compressibility technique
title_sort parametric study of an improved gamma differencing scheme based on normalized-variable formulation for low-speed flow with artificial compressibility technique
publishDate 2023
_version_ 1806427990685384704
score 13.211869

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