Dergiler / Mathematical and Computational Applications / 2004 / Cilt: 9 - Sayı: 2

A designed ADI software for solving poisson' s equation

Sayfa
157–164
Yayın Tarihi
2022-10-19
DOI
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The results came out very much complying with the analytical solutions asserting the rigour of the software.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:In this paper, a software has been designed to perform the alternating direction implicit, ADI, method for the case of two dimensional flow represented by Poisson's equation.
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Temel Bulgular & Veri:A square mesh with varying mesh size has been adopted.
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Sonuç & Katkı:The results came out very much complying with the analytical solutions asserting the rigour of the software.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Alan Parametreleri

Abstract

In this paper, a software has been designed to perform the alternating direction implicit, ADI, method for the case of two dimensional flow represented by Poisson's equation. A square mesh with varying mesh size has been adopted. The results came out very much complying with the analytical solutions asserting the rigour of the software.

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Bu Makaleye Atıf Yap

ISMAIL, I. A., ALLAN, M. M. (2022). A designed ADI software for solving poisson' s equation. Mathematical and Computational Applications, Cilt: 9 - Sayı: 2, 157–164. https://ajindex.com/articles/578810

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Kaynakça (1)

  1. S. V. Patankar, Numeriacl Heat Transfer and Fluid Flow, McGraw-Hill, New York, 1980. 2.R. Peyret and T. Taylor, Computational Method for Fluid Flow, Springer- Verlag, New York Inc., USA, 1983. 3.C. A. J. Fletcher, Computational Techniques for Fluid Dynamics, Vol. 1 &2, Springer-Verlag, Heidelberg, Berlin, 1991. 4.F. W. Dorr, The Direct Solution of the Discrete Poisson equation on a rectangle,SIAM Rev. 12, 248-263, 1970. 5.P. Orlandi, Vorticity- Velocity Formulation for High Re Flow, Computers Fluids 15, 137-149, 1987. 6.I. A. Ismail and M. I. Gomaa, Green's Function and Spectral Add Method for Solution of Poisson's Equation, In proc. 4th in conf. Fl. Mech.,Alexandria Univ.,Egypt, 2, 153-162, 1992. 7.W. F. Ames, Numerical Methods for Partial Differential Equations, Academic Press, New York, 1977. 8.A. R. Mitchell and D. F. Griffiths, The Finite Difference Methods in Partial Differential Equations, John Wiley and Sons, New York, 1980. 9.D. W. Trim, Applied Partial Differential Equations, PWS-KENT publishing Company, 1990. 10.D. W. Peaceman and J. R. Rachford, The Numerical Solution of Parabolic and elliptic Differential Equations, /. Soc. Indust. Appl. Math. 3, 28-41,1955. 11.N. N. Yanenko, The Method of Fractional steps, Springer-Verlag, New York, 1971. 12.P. Bontoux, B. Gilly and B. Roux, Analysis of the effect of Boundary Conditions on Numerical Stability of Solutions of Navier-Stokes Equations, J. Comput. Phys., 36,411-421, 1980.