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ADVANCES IN COMPUTATIONAL TECHNIQUES FOR STRUCTURAL ENGINEERING
Edited by: B.H.V. Topping
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
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
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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