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Forum: Main CFD Forum

October 17, 2012, 10:41

Replies: 18

Linearization of implicit terms

Views: 1,387

Posted By michujo

Hi, I did a stability analysis of your scheme...

Hi, I did a stability analysis of your scheme (with the substitution of all the T^n+1 terms on the RHS by 2*T^n-T^n-1).

After a very long calculation I came up with the condition:

\frac{\alpha...

Forum: Main CFD Forum

October 17, 2012, 05:38

Replies: 18

Linearization of implicit terms

Views: 1,387

Posted By michujo

Hi, you could try a higher order discretization...

Hi, you could try a higher order discretization of your time derivative if you wish to increase time accuracy. Instead of discretizing the time derivative as:

\frac{\partial T}{\partial...

Forum: Main CFD Forum

October 16, 2012, 09:46

Replies: 18

Linearization of implicit terms

Views: 1,387

Posted By michujo

Hi, when they say to write down the higher order...

Hi, when they say to write down the higher order terms they mean to actually write them down:

T^{n+1}=T^n+\frac{dT}{dt}\cdot \Delta t+\frac{d^2T}{dt^2}\cdot\frac{(\Delta...

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