Unsteady Compressible Flow Calculations with Least-Square Mesh-less Method

A dual-time implicit mesh-less method is presented for unsteady compressible flow calculations. Polynomial least-square (PLS) and Taylor series least-square (TLS) procedures are used to estimate the spatial derivatives at each node and their computational efficiencies are compared. Also, the effec...

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Main Authors: samad sattarzadeh, Alireza Jahangirian, mir yousef hashemi
Format: Article
Language:English
Published: Isfahan University of Technology 2016-01-01
Series:Journal of Applied Fluid Mechanics
Subjects:
Online Access:http://jafmonline.net/JournalArchive/download?file_ID=38978&issue_ID=224
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author samad sattarzadeh
Alireza Jahangirian
mir yousef hashemi
author_facet samad sattarzadeh
Alireza Jahangirian
mir yousef hashemi
author_sort samad sattarzadeh
collection DOAJ
description A dual-time implicit mesh-less method is presented for unsteady compressible flow calculations. Polynomial least-square (PLS) and Taylor series least-square (TLS) procedures are used to estimate the spatial derivatives at each node and their computational efficiencies are compared. Also, the effect of the neighbor stencil selection on the accuracy of the method is investigated. As a new approach, different neighboring stencils are used for the highly stretched point distribution inside the boundary layer region and the inviscid isotropic point distribution outside this area. The unsteady flows over stationary and moving objects at subsonic and transonic flow conditions are solved. Results indicate the computational efficiency of the method in comparison with the alternative approaches. The convergence histories of the flow solution show that the PLS method is computationally faster than TLS method. In addition, the eight point neighboring stencil inside the viscous region is more efficient than other choices.
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spelling doaj.art-3478dc920fac470a881ea325ce5468d52022-12-22T02:14:17ZengIsfahan University of TechnologyJournal of Applied Fluid Mechanics1735-35722016-01-0191233241.Unsteady Compressible Flow Calculations with Least-Square Mesh-less Methodsamad sattarzadeh0Alireza Jahangirian1mir yousef hashemi2Amirkabir University of TechnologyAmirkabir University of TechnologyAzarbaijan Shahid Madani UniversityA dual-time implicit mesh-less method is presented for unsteady compressible flow calculations. Polynomial least-square (PLS) and Taylor series least-square (TLS) procedures are used to estimate the spatial derivatives at each node and their computational efficiencies are compared. Also, the effect of the neighbor stencil selection on the accuracy of the method is investigated. As a new approach, different neighboring stencils are used for the highly stretched point distribution inside the boundary layer region and the inviscid isotropic point distribution outside this area. The unsteady flows over stationary and moving objects at subsonic and transonic flow conditions are solved. Results indicate the computational efficiency of the method in comparison with the alternative approaches. The convergence histories of the flow solution show that the PLS method is computationally faster than TLS method. In addition, the eight point neighboring stencil inside the viscous region is more efficient than other choices.http://jafmonline.net/JournalArchive/download?file_ID=38978&issue_ID=224Navier-Stokes equations; Unsteady compressible flow; Mesh less method; Moving boundary; Implicit method.
spellingShingle samad sattarzadeh
Alireza Jahangirian
mir yousef hashemi
Unsteady Compressible Flow Calculations with Least-Square Mesh-less Method
Journal of Applied Fluid Mechanics
Navier-Stokes equations; Unsteady compressible flow; Mesh less method; Moving boundary; Implicit method.
title Unsteady Compressible Flow Calculations with Least-Square Mesh-less Method
title_full Unsteady Compressible Flow Calculations with Least-Square Mesh-less Method
title_fullStr Unsteady Compressible Flow Calculations with Least-Square Mesh-less Method
title_full_unstemmed Unsteady Compressible Flow Calculations with Least-Square Mesh-less Method
title_short Unsteady Compressible Flow Calculations with Least-Square Mesh-less Method
title_sort unsteady compressible flow calculations with least square mesh less method
topic Navier-Stokes equations; Unsteady compressible flow; Mesh less method; Moving boundary; Implicit method.
url http://jafmonline.net/JournalArchive/download?file_ID=38978&issue_ID=224
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AT alirezajahangirian unsteadycompressibleflowcalculationswithleastsquaremeshlessmethod
AT miryousefhashemi unsteadycompressibleflowcalculationswithleastsquaremeshlessmethod