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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Format: | Article |
Language: | English |
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Turkish Society of Automotive Engineers
2020-09-01
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Series: | International Journal of Automotive Science and Technology |
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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. |
first_indexed | 2024-04-10T13:49:18Z |
format | Article |
id | doaj.art-cf305baf5d1344859825f5877a9b14a2 |
institution | Directory Open Access Journal |
issn | 2587-0963 |
language | English |
last_indexed | 2024-04-10T13:49:18Z |
publishDate | 2020-09-01 |
publisher | Turkish Society of Automotive Engineers |
record_format | Article |
series | International Journal of Automotive Science and Technology |
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 |