Stpongly Implicit Procedure by Stone H.L.
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. 530–538. ).
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: email@example.com
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