Simulating the propagation of boundary-layer disturbances by solving boundary-value and initial-value problems

被引：0

作者：

Zasko, Grigory V. ^{[1
]}

Boiko, Andrey V. ^{[1
]}

Demyanko, Kirill V. ^{[1
]}

Nechepurenko, Yuri M. ^{[1
]}

机构：

[1] Russian Acad Sci, Marchuk Inst Numer Math, Gubkin str 8, Moscow 119333, Russia

来源：

RUSSIAN JOURNAL OF NUMERICAL ANALYSIS AND MATHEMATICAL MODELLING | 2024年 / 39卷 / 01期

基金：

俄罗斯科学基金会;

关键词：

Non-parallel incompressible laminar boundary layers; spatial instability; boundary-value problems; initial-value problems; Tollmien-Schlichting waves; Gortler vortices; GORTLER VORTICES; SPECTRAL METHODS; STABILITY; SURFACE;

D O I：

10.1515/rnam-2024-0005

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The article deals with the downstream propagation of small-amplitude disturbances of viscous incompressible laminar boundary layers, using the linearized equations for disturbance amplitudes. Two different methods are proposed. The first one solves a two-dimensional boundary-value problem, using a buffer-domain technique to mimic the outflow boundary condition. The second one solves a streamwise initial-value problem, using a spectral parabolization at each integration step. Both methods show good performance in simulating the propagation of the Tollmien-Schlichting waves and the G & ouml;rtler vortices and can be applied to compute the spatial optimal disturbances.

引用

页码：47 / 59

页数：13

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