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Stpongly Implicit Procedure by Stone H.L.

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Old   October 3, 2009, 06:51
Default Stpongly Implicit Procedure by Stone H.L.
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Michail
Join Date: Apr 2009
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Dear colleagues

I write solver for SIPMLE FV method using TDMA. But I have problem with slow convergence.

Can anyone send me a original aticle by Stone (Stone, H. L. (1968), "Iterative Solution of Implicit Approximations of Multidimensional Partial Differential Equations", SIAM Journal of Numerical Analysis, 1968, vol. 5, pp. 530538. ).

I have a Peric's books (Ferziger, J.H. and Peric, M. (2001), Computational Methods for Fluid Dynamics, 3rd Rev. Ed., Springer-Verlag, Berlin) and its code, and found some descriptions in the Internet like in CFD-Wiki - http://www.cfd-online.com/Wiki/Stone%27s_method .

But its still insufficient to implement SIP in my program. I would like to implement it clearly like I did it for TDMA - http://www.cfd-online.com/Wiki/TDMA_..._Thomas_method for equation like that: Ap(i,j)*F(i,j) = An(i,j)*F(i,j+1) + As(i,j)*F(i,j-1) + Ae(i,j)*F(i+1,j) + Aw(i,j)*F(i-1,j) + Sp(i,j)

I live in very small town and out of libraries and haven't money to buy it on the SIAM site.

Thanks in andvance, Michail

My Email: space_mike@hotmail.com
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