Incompressible flow computations based on the vorticity-stream function and velocity-pressure formulations

T. E. Tezduyar; J. Liou; D. K. Ganjoo

doi:10.1016/0045-7949(90)90069-E

Incompressible flow computations based on the vorticity-stream function and velocity-pressure formulations

T. E. Tezduyar^*, J. Liou, D. K. Ganjoo

^*Corresponding author for this work

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

42 Citations (Scopus)

Abstract

Finite element procedures and computations based on the velocity-pressure and vorticitystream function formulations of incompressible flows are presented. Two new multi-step velocity-pressure formulations are proposed and are compared with the vorticity-stream function and one-step formulations. The example problems chosen are the standing vortex problem and flow past a circular cylinder. Benchmark quality computations are performed for the cylinder problem. The numerical results indicate that the vorticity-stream function formulation and one of the two new multi-step formulations involve much less numerical dissipation than the one-step formulation.

Original language	English
Pages (from-to)	445-472
Number of pages	28
Journal	Computers and Structures
Volume	35
Issue number	4
DOIs	https://doi.org/10.1016/0045-7949(90)90069-E
Publication status	Published - 1990
Externally published	Yes

ASJC Scopus subject areas

Civil and Structural Engineering
Modelling and Simulation
Materials Science(all)
Mechanical Engineering
Computer Science Applications

Access to Document

10.1016/0045-7949(90)90069-E

Cite this

@article{f16b844a16c442f0b913ef9b09827e7e,

title = "Incompressible flow computations based on the vorticity-stream function and velocity-pressure formulations",

abstract = "Finite element procedures and computations based on the velocity-pressure and vorticitystream function formulations of incompressible flows are presented. Two new multi-step velocity-pressure formulations are proposed and are compared with the vorticity-stream function and one-step formulations. The example problems chosen are the standing vortex problem and flow past a circular cylinder. Benchmark quality computations are performed for the cylinder problem. The numerical results indicate that the vorticity-stream function formulation and one of the two new multi-step formulations involve much less numerical dissipation than the one-step formulation.",

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

note = "Funding Information: Ackn~~~~edgen~ent-sT his researchw as sponsoredb y the NASA-Johnson SpaceC enteru nderc ontractN AS-9-17892 and by the NSF underg rant MSM-8796352.",

year = "1990",

doi = "10.1016/0045-7949(90)90069-E",

language = "English",

volume = "35",

pages = "445--472",

journal = "Computers and Structures",

issn = "0045-7949",

publisher = "Elsevier Limited",

number = "4",

}

TY - JOUR

T1 - Incompressible flow computations based on the vorticity-stream function and velocity-pressure formulations

AU - Tezduyar, T. E.

AU - Liou, J.

AU - Ganjoo, D. K.

N1 - Funding Information: Ackn~~~~edgen~ent-sT his researchw as sponsoredb y the NASA-Johnson SpaceC enteru nderc ontractN AS-9-17892 and by the NSF underg rant MSM-8796352.

PY - 1990

Y1 - 1990

N2 - Finite element procedures and computations based on the velocity-pressure and vorticitystream function formulations of incompressible flows are presented. Two new multi-step velocity-pressure formulations are proposed and are compared with the vorticity-stream function and one-step formulations. The example problems chosen are the standing vortex problem and flow past a circular cylinder. Benchmark quality computations are performed for the cylinder problem. The numerical results indicate that the vorticity-stream function formulation and one of the two new multi-step formulations involve much less numerical dissipation than the one-step formulation.

AB - Finite element procedures and computations based on the velocity-pressure and vorticitystream function formulations of incompressible flows are presented. Two new multi-step velocity-pressure formulations are proposed and are compared with the vorticity-stream function and one-step formulations. The example problems chosen are the standing vortex problem and flow past a circular cylinder. Benchmark quality computations are performed for the cylinder problem. The numerical results indicate that the vorticity-stream function formulation and one of the two new multi-step formulations involve much less numerical dissipation than the one-step formulation.

UR - http://www.scopus.com/inward/record.url?scp=0025632173&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0025632173&partnerID=8YFLogxK

U2 - 10.1016/0045-7949(90)90069-E

DO - 10.1016/0045-7949(90)90069-E

M3 - Article

AN - SCOPUS:0025632173

SN - 0045-7949

VL - 35

SP - 445

EP - 472

JO - Computers and Structures

JF - Computers and Structures

IS - 4

ER -

Incompressible flow computations based on the vorticity-stream function and velocity-pressure formulations

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this