### Abstract

The stability of incompressible boundary-layer flows on a semi-infinite flat plate and the growth of disturbances in such flows are investigated by numerical integration of the complete Navier-Stokes equations for laminar two-dimensional flows. Forced time-dependent disturbances are introduced into the flow field and the reaction of the flow to such disturbances is studied by directly solving the Navier-Stokes equations using a finite-difference method. An implicit finite-difference scheme was developed for the calculation of the extremely unsteady flow fields which arose from the forced time-dependent disturbances. A demonstration of the suitability of the numerical method for the investigation of stability and the initial growth of disturbances is presented for small periodic perturbations. Refs.

Original language | English (US) |
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Pages (from-to) | 355-383 |

Number of pages | 29 |

Journal | Journal of Fluid Mechanics |

Volume | 78 |

Issue number | pt 2 |

State | Published - Jan 1 1976 |

Externally published | Yes |

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### ASJC Scopus subject areas

- Computational Mechanics
- Mechanics of Materials
- Physics and Astronomy(all)
- Condensed Matter Physics

### Cite this

**INVESTIGATION OF THE STABILITY OF BOUNDARY LAYERS BY A FINITE-DIFFERENCE MODEL OF THE NAVIER-STOKES EQUATIONS.** / Fasel, Hermann F.

Research output: Contribution to journal › Article

*Journal of Fluid Mechanics*, vol. 78, no. pt 2, pp. 355-383.

}

TY - JOUR

T1 - INVESTIGATION OF THE STABILITY OF BOUNDARY LAYERS BY A FINITE-DIFFERENCE MODEL OF THE NAVIER-STOKES EQUATIONS.

AU - Fasel, Hermann F

PY - 1976/1/1

Y1 - 1976/1/1

N2 - The stability of incompressible boundary-layer flows on a semi-infinite flat plate and the growth of disturbances in such flows are investigated by numerical integration of the complete Navier-Stokes equations for laminar two-dimensional flows. Forced time-dependent disturbances are introduced into the flow field and the reaction of the flow to such disturbances is studied by directly solving the Navier-Stokes equations using a finite-difference method. An implicit finite-difference scheme was developed for the calculation of the extremely unsteady flow fields which arose from the forced time-dependent disturbances. A demonstration of the suitability of the numerical method for the investigation of stability and the initial growth of disturbances is presented for small periodic perturbations. Refs.

AB - The stability of incompressible boundary-layer flows on a semi-infinite flat plate and the growth of disturbances in such flows are investigated by numerical integration of the complete Navier-Stokes equations for laminar two-dimensional flows. Forced time-dependent disturbances are introduced into the flow field and the reaction of the flow to such disturbances is studied by directly solving the Navier-Stokes equations using a finite-difference method. An implicit finite-difference scheme was developed for the calculation of the extremely unsteady flow fields which arose from the forced time-dependent disturbances. A demonstration of the suitability of the numerical method for the investigation of stability and the initial growth of disturbances is presented for small periodic perturbations. Refs.

UR - http://www.scopus.com/inward/record.url?scp=0016894436&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0016894436&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0016894436

VL - 78

SP - 355

EP - 383

JO - Journal of Fluid Mechanics

JF - Journal of Fluid Mechanics

SN - 0022-1120

IS - pt 2

ER -