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How to apply ADI method for convection term?

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Old   July 11, 2014, 23:31
Exclamation How to apply ADI method for convection term?
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Mehdi
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Hi friends,

I know we need to change NS equation in this (a x(i-1)+b x(i)+c x(i+1)= d(i) ) form to use ADI and Thomas algorithm.
For diffusion term it is easy because there is not multiplied term. But for advection term we have udu/dx.
How can I discretise the equation to get this form (a x(i-1)+b x(i)+c x(i+1)= d(i) ) to use ADI?
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