Crank-Nicholson Scheme of the Zeroth-Order Approximate Deconvolution Model of Turbulence Based On a Mixed Formulation

This report presents a method with high spatial and temporal accuracy for estimating solutions of Navier-Stokes equations at high Reynolds number. It employs Crank-Nicolson time discretization along with the zeroth-order ap-proximate deconvolution model of turbulence to regularize the flow prob-lem;...

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Main Author: Mustafa Ağgül
Format: Article
Language:English
Published: Turkish Society of Automotive Engineers 2020-09-01
Series:International Journal of Automotive Science and Technology
Subjects:
Online Access:https://dergipark.org.tr/en/pub/ijastech/issue/55251/729443
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author Mustafa Ağgül
author_facet Mustafa Ağgül
author_sort Mustafa Ağgül
collection DOAJ
description This report presents a method with high spatial and temporal accuracy for estimating solutions of Navier-Stokes equations at high Reynolds number. It employs Crank-Nicolson time discretization along with the zeroth-order ap-proximate deconvolution model of turbulence to regularize the flow prob-lem; solves a deviation of the Navier Stokes equation instead. Both theoreti-cal and computational findings of this report illustrate that the model pro-duces a high order of accuracy and stability. Furthermore, measurements of the drag and lift coefficients of a benchmark problem verify the potential of the model in this kind of computations.
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spelling doaj.art-cf305baf5d1344859825f5877a9b14a22023-02-15T16:10:49ZengTurkish Society of Automotive EngineersInternational Journal of Automotive Science and Technology2587-09632020-09-014314515410.30939/ijastech..72944358Crank-Nicholson Scheme of the Zeroth-Order Approximate Deconvolution Model of Turbulence Based On a Mixed FormulationMustafa Ağgül0HACETTEPE UNIVERSITYThis report presents a method with high spatial and temporal accuracy for estimating solutions of Navier-Stokes equations at high Reynolds number. It employs Crank-Nicolson time discretization along with the zeroth-order ap-proximate deconvolution model of turbulence to regularize the flow prob-lem; solves a deviation of the Navier Stokes equation instead. Both theoreti-cal and computational findings of this report illustrate that the model pro-duces a high order of accuracy and stability. Furthermore, measurements of the drag and lift coefficients of a benchmark problem verify the potential of the model in this kind of computations.https://dergipark.org.tr/en/pub/ijastech/issue/55251/729443approximate deconvolutioncrank-nicholsonstabilityaccuracyturbulence modelsspace filter
spellingShingle Mustafa Ağgül
Crank-Nicholson Scheme of the Zeroth-Order Approximate Deconvolution Model of Turbulence Based On a Mixed Formulation
International Journal of Automotive Science and Technology
approximate deconvolution
crank-nicholson
stability
accuracy
turbulence models
space filter
title Crank-Nicholson Scheme of the Zeroth-Order Approximate Deconvolution Model of Turbulence Based On a Mixed Formulation
title_full Crank-Nicholson Scheme of the Zeroth-Order Approximate Deconvolution Model of Turbulence Based On a Mixed Formulation
title_fullStr Crank-Nicholson Scheme of the Zeroth-Order Approximate Deconvolution Model of Turbulence Based On a Mixed Formulation
title_full_unstemmed Crank-Nicholson Scheme of the Zeroth-Order Approximate Deconvolution Model of Turbulence Based On a Mixed Formulation
title_short Crank-Nicholson Scheme of the Zeroth-Order Approximate Deconvolution Model of Turbulence Based On a Mixed Formulation
title_sort crank nicholson scheme of the zeroth order approximate deconvolution model of turbulence based on a mixed formulation
topic approximate deconvolution
crank-nicholson
stability
accuracy
turbulence models
space filter
url https://dergipark.org.tr/en/pub/ijastech/issue/55251/729443
work_keys_str_mv AT mustafaaggul cranknicholsonschemeofthezerothorderapproximatedeconvolutionmodelofturbulencebasedonamixedformulation