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

Research output: Contribution to journal › Article › Academic › 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	Undefined
Pages (from-to)	30-46
Number of pages	17
Journal	Journal of computational physics
Volume	1998
Issue number	140
DOIs	https://doi.org/10.1006/jcph.1998.5886
Publication status	Published - 1998

Keywords

METIS-124182
IR-73868

Access to Document

10.1006/jcph.1998.5886

Cite this

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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.",

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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

Y1 - 1998

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 - METIS-124182

KW - IR-73868

U2 - 10.1006/jcph.1998.5886

DO - 10.1006/jcph.1998.5886

M3 - Article

VL - 1998

SP - 30

EP - 46

JO - Journal of computational physics

JF - Journal of computational physics

SN - 0021-9991

IS - 140

ER -