Asymptotic boundary conditions for computing the position of laminar-turbulent transition by the  e   N  -method

A. V. Boiko; K. V. Demyanko; Yu. M. Nechepurenko

doi:10.1134/S0869864319020033

Asymptotic boundary conditions for computing the position of laminar-turbulent transition by the e^N-method

Authors: Boiko A.V.¹^,2, Demyanko K.V.¹^,3, Nechepurenko Y.M.¹^,3
Affiliations:
1. Khristianovich Institute of Theoretical and Applied Mechanics SB RAS
2. Tyumen State University
3. Marchuk Institute of Numerical Mathematics RAS
Issue: Vol 26, No 2 (2019)
Pages: 179-194
Section: Article
URL: https://journals.rcsi.science/1531-8699/article/view/218324
DOI: https://doi.org/10.1134/S0869864319020033
ID: 218324

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Abstract
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Abstract

The work is devoted to the use of asymptotic boundary conditions for engineering prediction of the laminar-turbulent transition position in hydrodynamic flows by the e^N-method. It is shown that the asymptotic boundary conditions can significantly reduce the total computational cost.

Keywords

boundary layer, laminar-turbulent transition, e^N-method, hydrodynamic stability, governing equations for small disturbances, local-parallel approach, asymptotic boundary conditions

About the authors

A. V. Boiko

Khristianovich Institute of Theoretical and Applied Mechanics SB RAS; Tyumen State University

Author for correspondence.
Email: boiko@itam.nsc.ru
Russian Federation, Novosibirsk; Tyumen

K. V. Demyanko

Khristianovich Institute of Theoretical and Applied Mechanics SB RAS; Marchuk Institute of Numerical Mathematics RAS

Email: boiko@itam.nsc.ru
Russian Federation, Novosibirsk; Moscow

Yu. M. Nechepurenko