Computation of spatially periodic flows based on the vorticity-stream function formulation

T. E. Tezduyar; J. Liou

doi:10.1016/0045-7825(90)90147-E

Computation of spatially periodic flows based on the vorticity-stream function formulation

T. E. Tezduyar^*, J. Liou

^*Corresponding author for this work

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

9 Citations (Scopus)

Abstract

Finite element solution strategies are presented for the two-dimensional, spatially periodic, viscous and inviscid, incompressible flows governed by the verticity-stream function formulation. These strategies are successfully tested on various uniperiodic and biperiodic viscous flow problems involving arrays of cylinders with Reynolds number 0 and 100. It is shown that in all cases for Reynolds number 100 the solution becomes unsteady and ceases to satisfy the symmetry conditions along the horizontal centerlines of the cylinders.

Original language	English
Pages (from-to)	121-142
Number of pages	22
Journal	Computer Methods in Applied Mechanics and Engineering
Volume	83
Issue number	2
DOIs	https://doi.org/10.1016/0045-7825(90)90147-E
Publication status	Published - 1990 Oct
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(90)90147-E

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title = "Computation of spatially periodic flows based on the vorticity-stream function formulation",

abstract = "Finite element solution strategies are presented for the two-dimensional, spatially periodic, viscous and inviscid, incompressible flows governed by the verticity-stream function formulation. These strategies are successfully tested on various uniperiodic and biperiodic viscous flow problems involving arrays of cylinders with Reynolds number 0 and 100. It is shown that in all cases for Reynolds number 100 the solution becomes unsteady and ceases to satisfy the symmetry conditions along the horizontal centerlines of the cylinders.",

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

note = "Funding Information: * This research was sponsored by NASA-Johnson Space Center under contract NAS-9-17892 and by NSF under grant MSM-8796352.",

year = "1990",

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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 NAS-9-17892 and by NSF under grant MSM-8796352.

PY - 1990/10

Y1 - 1990/10

N2 - Finite element solution strategies are presented for the two-dimensional, spatially periodic, viscous and inviscid, incompressible flows governed by the verticity-stream function formulation. These strategies are successfully tested on various uniperiodic and biperiodic viscous flow problems involving arrays of cylinders with Reynolds number 0 and 100. It is shown that in all cases for Reynolds number 100 the solution becomes unsteady and ceases to satisfy the symmetry conditions along the horizontal centerlines of the cylinders.

AB - Finite element solution strategies are presented for the two-dimensional, spatially periodic, viscous and inviscid, incompressible flows governed by the verticity-stream function formulation. These strategies are successfully tested on various uniperiodic and biperiodic viscous flow problems involving arrays of cylinders with Reynolds number 0 and 100. It is shown that in all cases for Reynolds number 100 the solution becomes unsteady and ceases to satisfy the symmetry conditions along the horizontal centerlines of the cylinders.

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Computation of spatially periodic flows based on the vorticity-stream function formulation

Abstract

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