On the downstream boundary conditions for the vorticity-stream function formulation of two-dimensional incompressible flows

T. E. Tezduyar; J. Liou

doi:10.1016/0045-7825(91)90133-Q

On the downstream boundary conditions for the vorticity-stream function formulation of two-dimensional incompressible flows

T. E. Tezduyar^*, J. Liou

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

15 Citations (Scopus)

Abstract

Downstream boundary conditions equivalent to the homogeneous form of the natural boundary conditions associated with the velocity-pressure formulation of the Navier-Stokes equations are derived for the vorticity-stream function formulation of two-dimensional incompressible flows. Of particular interest are the zero normal and shear stress conditions at a downstream boundary.

Original language	English
Pages (from-to)	207-217
Number of pages	11
Journal	Computer Methods in Applied Mechanics and Engineering
Volume	85
Issue number	2
DOIs	https://doi.org/10.1016/0045-7825(91)90133-Q
Publication status	Published - 1991 Jan
Externally published	Yes

ASJC Scopus subject areas

Computational Mechanics
Mechanics of Materials
Mechanical Engineering
Physics and Astronomy(all)
Computer Science Applications

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10.1016/0045-7825(91)90133-Q

Cite this

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title = "On the downstream boundary conditions for the vorticity-stream function formulation of two-dimensional incompressible flows",

abstract = "Downstream boundary conditions equivalent to the homogeneous form of the natural boundary conditions associated with the velocity-pressure formulation of the Navier-Stokes equations are derived for the vorticity-stream function formulation of two-dimensional incompressible flows. Of particular interest are the zero normal and shear stress conditions at a downstream boundary.",

author = "Tezduyar, {T. E.} and J. Liou",

note = "Funding Information: * This research was sponsored by NASA-Johnson Space Center under contract NAS9-17892 and by NSF under grant MSM-8796352.",

year = "1991",

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doi = "10.1016/0045-7825(91)90133-Q",

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AU - Tezduyar, T. E.

AU - Liou, J.

N1 - Funding Information: * This research was sponsored by NASA-Johnson Space Center under contract NAS9-17892 and by NSF under grant MSM-8796352.

PY - 1991/1

Y1 - 1991/1

N2 - Downstream boundary conditions equivalent to the homogeneous form of the natural boundary conditions associated with the velocity-pressure formulation of the Navier-Stokes equations are derived for the vorticity-stream function formulation of two-dimensional incompressible flows. Of particular interest are the zero normal and shear stress conditions at a downstream boundary.

AB - Downstream boundary conditions equivalent to the homogeneous form of the natural boundary conditions associated with the velocity-pressure formulation of the Navier-Stokes equations are derived for the vorticity-stream function formulation of two-dimensional incompressible flows. Of particular interest are the zero normal and shear stress conditions at a downstream boundary.

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On the downstream boundary conditions for the vorticity-stream function formulation of two-dimensional incompressible flows

Abstract

ASJC Scopus subject areas

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