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Two Dimensional Grid Transformation by Algebraic Method


Affiliations
1 Department of Mechanical Engineering, Kalyani Government Engineering College, Kalyani- 741235, India
 

Grid transformation in systematic form is used to smooth the meshing process. Through proper steps an orthogonal grid system of the unit square is applied for simulation. The basic grid conversion method suggests mainly constructing explicitly coordinate changes with the help of trans!nite interpolation. In this regard, blending functions are quite important. These apply matching of the grid arrangements at the boundaries and for different interior surfaces of a particular domain. The aim of this present work is to explain speci!c techniques of algebraic grid transformation through trans!nite algorithm in 2 dimensional spaces. Few irregular but structured domains are converted into regular structured domains through trans!nite algorithm to apply them in different !elds.

Keywords

Structured Grid, Algebraic Transformation, Transfnite Algorithm, Interpolation.
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  • Liou, Y.C. and Jeng, Y.N., A Trans!nite Interpolation Method of Grid Generation Based on Multipoints, Journal of Scienti!c Computing, Vol. 13, pp.105114, 1998.

  • Conti, C., Morandi, R. and Spitaleri, R.M., An Algebraic-Elliptic Algorithm for Boundary Orthogonal Grid Generation, Applied Mathematics and Computation, Vol. 162, No.1, pp.15-27, 2005.

  • Backman, S. and Huynh, T., Trans!nite Ford–Fulkerson on a !nite network, Computability, Vol. 7, No.4, pp.341-347, 2018.

  • Eriksson, L.E., Generation of BoundaryConforming Grids around Wing-Body Con!gurations Using Trans!nite Interpolation, AIAA Journal, Vol. 20, No.10, pp.1313-1320, 1982.

  • Allen, C.B., Towards Automatic Structured Multiblock Mesh Generation Using Improved Transfnite Interpolation, International Journal for Numerical Methods in Engineering, Vol. 74, No.5, pp.697-733, 2007.

  • Sundararajan, T., Computational Fluid Flow and Heat Transfer, Alpha Science International, pp.483-502, 2003.


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  • Two Dimensional Grid Transformation by Algebraic Method

Abstract Views: 291  |  PDF Views: 127

Authors

Arijit Dutta
Department of Mechanical Engineering, Kalyani Government Engineering College, Kalyani- 741235, India

Abstract


Grid transformation in systematic form is used to smooth the meshing process. Through proper steps an orthogonal grid system of the unit square is applied for simulation. The basic grid conversion method suggests mainly constructing explicitly coordinate changes with the help of trans!nite interpolation. In this regard, blending functions are quite important. These apply matching of the grid arrangements at the boundaries and for different interior surfaces of a particular domain. The aim of this present work is to explain speci!c techniques of algebraic grid transformation through trans!nite algorithm in 2 dimensional spaces. Few irregular but structured domains are converted into regular structured domains through trans!nite algorithm to apply them in different !elds.

Keywords


Structured Grid, Algebraic Transformation, Transfnite Algorithm, Interpolation.

References





DOI: https://doi.org/10.21843/reas%2F2019%2F45-49%2F196165