High-order-accurate discretization stencil for an elliptic equation

M. Arad; A. Yakhot; G. Ben-Dor

doi:10.1002/(SICI)1097-0363(19960830)23:4<367::AID-FLD426>3.0.CO;2-G

High-order-accurate discretization stencil for an elliptic equation

M. Arad, A. Yakhot, G. Ben-Dor

Department of Mechanical Engineering

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

10 Scopus citations

Abstract

The coefficients for a nine-point high-order-accurate discretization scheme for an elliptic equation ▽²u - y²u = r₀ (▽² is the two-dimensional Laplacian operator) are derived. Examples with Dirichlet and Neumann boundary condtions are considered. In order to demonstrate the high-order accuracy of the method, numerical results are compared with exact solutions.

Original language	English
Pages (from-to)	367-377
Number of pages	11
Journal	International Journal for Numerical Methods in Fluids
Volume	23
Issue number	4
DOIs	https://doi.org/10.1002/(SICI)1097-0363(19960830)23:4<367::AID-FLD426>3.0.CO;2-G
State	Published - 30 Aug 1996

Keywords

Discretization
Duct flow
High-order accuracy

ASJC Scopus subject areas

Computational Mechanics
Mechanics of Materials
Mechanical Engineering
Computer Science Applications
Applied Mathematics

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10.1002/(SICI)1097-0363(19960830)23:4<367::AID-FLD426>3.0.CO;2-G

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AU - Yakhot, A.

AU - Ben-Dor, G.

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N2 - The coefficients for a nine-point high-order-accurate discretization scheme for an elliptic equation ▽2u - y2u = r0 (▽2 is the two-dimensional Laplacian operator) are derived. Examples with Dirichlet and Neumann boundary condtions are considered. In order to demonstrate the high-order accuracy of the method, numerical results are compared with exact solutions.

AB - The coefficients for a nine-point high-order-accurate discretization scheme for an elliptic equation ▽2u - y2u = r0 (▽2 is the two-dimensional Laplacian operator) are derived. Examples with Dirichlet and Neumann boundary condtions are considered. In order to demonstrate the high-order accuracy of the method, numerical results are compared with exact solutions.

KW - Discretization

KW - Duct flow

KW - High-order accuracy

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JF - International Journal for Numerical Methods in Fluids

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ER -

High-order-accurate discretization stencil for an elliptic equation

Abstract

Keywords

ASJC Scopus subject areas

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