The Finite Element Discretization for Stream-Function Problems on Multiply Connected Domains

M. B. Van Gijzen; C. B. Vreugdenhil; H. Oksuzoglu

doi:10.1006/jcph.1998.5886

The Finite Element Discretization for Stream-Function Problems on Multiply Connected Domains

M. B. Van Gijzen^*, C. B. Vreugdenhil, H. Oksuzoglu

^*Corresponding author for this work

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

9 Citations (Scopus)

Abstract

The no-normal-flow condition states that the stream-function is constant at solid boundaries. For multiply connected domains these (unknown) constants differ per boundary and must be determined from integral conditions. This complicates discretization and solution of the problem considerably. In this paper we describe a simple, elegant, and systematic way for solving this problem within the context of a finite element discretization and apply our ideas to global ocean circulation simulation.

Original language	English
Pages (from-to)	30-46
Number of pages	17
Journal	Journal of Computational Physics
Volume	140
Issue number	1
DOIs	https://doi.org/10.1006/jcph.1998.5886
Publication status	Published - 10 Feb 1998
Externally published	Yes

Keywords

Finite elements
Multiply connected domains
Stream function

Access to Document

10.1006/jcph.1998.5886

Cite this

@article{5d5529737e34482bad20fba58c05e851,

title = "The Finite Element Discretization for Stream-Function Problems on Multiply Connected Domains",

abstract = "The no-normal-flow condition states that the stream-function is constant at solid boundaries. For multiply connected domains these (unknown) constants differ per boundary and must be determined from integral conditions. This complicates discretization and solution of the problem considerably. In this paper we describe a simple, elegant, and systematic way for solving this problem within the context of a finite element discretization and apply our ideas to global ocean circulation simulation.",

keywords = "Finite elements, Multiply connected domains, Stream function",

author = "{Van Gijzen}, {M. B.} and Vreugdenhil, {C. B.} and H. Oksuzoglu",

year = "1998",

month = feb,

day = "10",

doi = "10.1006/jcph.1998.5886",

language = "English",

volume = "140",

pages = "30--46",

journal = "Journal of Computational Physics",

issn = "0021-9991",

publisher = "Academic Press Inc.",

number = "1",

}

TY - JOUR

T1 - The Finite Element Discretization for Stream-Function Problems on Multiply Connected Domains

AU - Van Gijzen, M. B.

AU - Vreugdenhil, C. B.

AU - Oksuzoglu, H.

PY - 1998/2/10

Y1 - 1998/2/10

N2 - The no-normal-flow condition states that the stream-function is constant at solid boundaries. For multiply connected domains these (unknown) constants differ per boundary and must be determined from integral conditions. This complicates discretization and solution of the problem considerably. In this paper we describe a simple, elegant, and systematic way for solving this problem within the context of a finite element discretization and apply our ideas to global ocean circulation simulation.

AB - The no-normal-flow condition states that the stream-function is constant at solid boundaries. For multiply connected domains these (unknown) constants differ per boundary and must be determined from integral conditions. This complicates discretization and solution of the problem considerably. In this paper we describe a simple, elegant, and systematic way for solving this problem within the context of a finite element discretization and apply our ideas to global ocean circulation simulation.

KW - Finite elements

KW - Multiply connected domains

KW - Stream function

UR - http://www.scopus.com/inward/record.url?scp=0039498495&partnerID=8YFLogxK

U2 - 10.1006/jcph.1998.5886

DO - 10.1006/jcph.1998.5886

M3 - Article

AN - SCOPUS:0039498495

SN - 0021-9991

VL - 140

SP - 30

EP - 46

JO - Journal of Computational Physics

JF - Journal of Computational Physics

IS - 1

ER -

The Finite Element Discretization for Stream-Function Problems on Multiply Connected Domains

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this