# strongly implicit method

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 December 18, 2006, 00:31 strongly implicit method #1 student Guest   Posts: n/a sir, I don't understand the SIP (http://en.wikipedia.org/wiki/Stone_method). what does N represent Ax = (M-N)x = (LU-N)x = b in the above equation A and b are known values , what is the need of iteration here.

 December 18, 2006, 00:34 Re: strongly implicit method #2 zxaar Guest   Posts: n/a A is known but finding Ainv is very difficult, so we prefer iterating. (to know x you need to know Ainv).

 December 18, 2006, 02:33 Re: strongly implicit method #3 student Guest   Posts: n/a could you explain breif about this algorithm.

 December 18, 2006, 02:48 Re: strongly implicit method #4 zxaar Guest   Posts: n/a on cfd-online, in the wiki there is a section on numerical methods, there you will find the link about stone's method. Read that.

 December 18, 2006, 05:30 Re: strongly implicit method #5 NeaZen Guest   Posts: n/a A contains 5 diagonals (Poisson equation discretisation result via the 5 points scheme). If we try to performe the incomplete LU decomposition, L and U will contain 3 diagonals each, but the multiplication will produce M with 7 diagonals, so N must contain at minimum 2 diagonals of M that correspond to zero diagonals of A. So M = L*U and M-N = A

 December 19, 2006, 00:50 Re: strongly implicit method #6 student Guest   Posts: n/a yes i got 7 diagonals. with L has 3 diagonals, U 2 diagonals the additional two diagonals are stored in N matrix. Could you please expalin how to proceed after this. all are sparse matrix, so how to solve this equation.

 December 19, 2006, 07:26 Re: strongly implicit method #7 NeaZen Guest   Posts: n/a The best advice I can give you is to look for this book "Computational methods for Fluid Dynamics", Ferziger & Peric, the SIP is clearly explained and you also can download book codes. Email me if you have difficulties to find them.

 December 19, 2006, 07:56 Re: strongly implicit method #8 student Guest   Posts: n/a sir, how to download codes from peric book... could you please give your mail id

 December 19, 2006, 07:57 Re: strongly implicit method #9 student Guest   Posts: n/a this is mail id d_santhosh2@yahoo.com

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