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Paper II.1

A Different Approach to Boundary Modelling for Neumann Condition on a Curved Boundary at Arbitrary Irregular Grids

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

Department of Mechanical Engineering, Ben-Gurion University of Negev, Beer Sheva, Israel

doi:10.4203/ccp.43.2.1

M. Arad, G. Ben-Dor, A. Yakhot, "A Different Approach to Boundary Modelling for Neumann Condition on a Curved Boundary at Arbitrary Irregular Grids", in B.H.V. Topping, (Editor), "Advances in Computational Techniques for Structural Engineering", Civil-Comp Press, Edinburgh, UK, pp 13-20, 1996. doi:10.4203/ccp.43.2.1

Abstract

A two-dimensional numerical method for modeling problem with a Neumann boundary condition on a curved boundary at irregular meshes is presented. In this approach the governing equations and the boundary conditions for grid points located along a curved boundary with Neumann boundary condition must not be written in the same coordinates as the other grid points. This flexibillity enable us to better approximate the Neumann boundary condition.

Problems with a rectangular domain with a circular hole, along which a Neumann boundary condition applies, are introduced and solved numerically using the proposed method. The results verify the advantages of the proposed method.

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Front Page Browse CCP CSETS CTR IJRT Other Authors Search Purchase Guide FAQ Contact us	Civil-Comp Proceedings ISSN 1759-3433 CCP: 43 ADVANCES IN COMPUTATIONAL TECHNIQUES FOR STRUCTURAL ENGINEERING Edited by: B.H.V. Topping Paper II.1 A Different Approach to Boundary Modelling for Neumann Condition on a Curved Boundary at Arbitrary Irregular Grids M. Arad, G. Ben-Dor and A. Yakhot Department of Mechanical Engineering, Ben-Gurion University of Negev, Beer Sheva, Israel doi:10.4203/ccp.43.2.1 purchase the full-text of this paper Full Bibliographic Reference for this paper M. Arad, G. Ben-Dor, A. Yakhot, "A Different Approach to Boundary Modelling for Neumann Condition on a Curved Boundary at Arbitrary Irregular Grids", in B.H.V. Topping, (Editor), "Advances in Computational Techniques for Structural Engineering", Civil-Comp Press, Edinburgh, UK, pp 13-20, 1996. doi:10.4203/ccp.43.2.1 Abstract A two-dimensional numerical method for modeling problem with a Neumann boundary condition on a curved boundary at irregular meshes is presented. In this approach the governing equations and the boundary conditions for grid points located along a curved boundary with Neumann boundary condition must not be written in the same coordinates as the other grid points. This flexibillity enable us to better approximate the Neumann boundary condition. Problems with a rectangular domain with a circular hole, along which a Neumann boundary condition applies, are introduced and solved numerically using the proposed method. The results verify the advantages of the proposed method. purchase the full-text of this paper (price £20) go to the previous paper go to the next paper return to the table of contents return to the book description purchase this book (price £68 +P&P)
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