Elliptic Blending with One-Equation Model

M. M. Rahman; Xiaoqing Tian; Huachen Pan; A. Islam

Elliptic Blending with One-Equation Model

M. M. Rahman *

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Xiaoqing Tian

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Huachen Pan

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A. K. M. Sadrul Islam

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Elliptic Blending with One-Equation Model

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Abstract

A wall-distance-free modification to Wray-Agarwal (WA) one-equation turbulence model is convoked using an elliptic relaxation approach to accurately accounting for non-local characteristics of near-wall turbulence. Model coefficients/functions are parameterized with the elliptic relaxation function to preserve the combined effects of near-wall turbulence and nonequilibrium. The characteristic length scale associated with the elliptic relaxation equation is formulated in terms of viscous and turbulent length scales in conjunction with the invariant of strain-rate tensor. Consequently, non-local effects are explicitly influenced by the mean flow and turbulent variables. A near-wall damping function is introduced to relax the viscous length-scale coefficient adhering to the elliptic relaxation model. Comparisons indicate that the new model improves the accuracy of flow simulations compared to the widely used Spalart-Allmaras model and remains competitive with the SST model. A good correlation is obtained between the current model and DNS/experimental data.

References

13 Cites in Article

Reference Format

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Funding

No external funding was declared for this work.

Conflict of Interest

The authors declare no conflict of interest.

Ethical Approval

No ethics committee approval was required for this article type.

Data Availability

Not applicable for this article.

How to Cite This Article

M. M. Rahman, Xiaoqing Tian, Huachen Pan, A. K. M. Sadrul Islam. 2020. "Elliptic Blending with One-Equation Model". Global Journal of Science Frontier Research - F: Mathematics & Decision GJSFR-F Volume 20 (GJSFR Volume 20 Issue F2).

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GJSFR Volume 20 Issue F2

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Journal Specifications

Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

Keywords

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Classification

GJSFR-F Classification MSC 2010: 11G05

Submission ReceivedJanuary 6, 2020
Peer Review Double Blind
Handling Editor
Accepted February 5, 2020
Published March 23, 2020

Version of record

v1.2

Issue date

March 23, 2020

Language

English

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Article Matrices

Total Score: 134

Country: China

Subject: Global Journal of Science Frontier Research - F: Mathematics & Decision

Authors: M. M. Rahman, Xiaoqing Tian, Huachen Pan, A. K. M. Sadrul Islam (PhD/Dr. count: 0)

View Count (all-time): 391

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Publish Date: 2020 02, Sun

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