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Old   February 10, 2004, 05:51
Default High order compact finite difference
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Mikhail
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Hallo CFD people

I have some problem, may be someone who has expertise in high order compact finite differences (hcfd for short) can help me. Consider 1D stationary convection-diffusion eq. after applying hcfd to it, you get Ax=b, where A is 3x3 block matrix and x=(u'',u',u)'. Matrix A is generally ill-conditioned, but this is not the question of today

Now consider time-dependent 1D convection-diffusion eq. In all papers I've read (starting from Lele's paper) they all consider u (the function value ) to be known and at each step solve something like (for the first derivative) Au'=Bu, with A and B - nice tri (or penta) diagonal matrices. So the question is where they get u??? from previous time step or where????

Thanks a lot in advance to all who will answer
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Old   February 11, 2004, 01:06
Default Re: High order compact finite difference
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agg
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Yes u will be from previous time step
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Old   February 16, 2004, 00:25
Default Re: High order compact finite difference
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Apurva
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Hi

Look for Sanjiva Lele's paper in Journal of Computational Physics.

Hope it helps

Apurva
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Old   February 16, 2004, 00:31
Default Re: High order compact finite difference
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Apurva
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try Google Search

"compact higher order" + "finite difference"

It will help

Apurva Shukla
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