Delta form of equations.
What is the advantage of using a delta form of equation and where could I find more information on this.
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Re: Delta form of equations.
Dear Unknown...
Please inform us what equation do you mean? |
Re: Delta form of equations.
I remeber that the advance of a delta form discrete matrix equation is the independence of steady state solution on time step. T. H. Pulliam's book may contain it as well as in other CFD books.
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Re: Delta form of equations.
Delta form... Is this Dirac delta-function or something else?
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Re: Delta form of equations.
In the delta form of the equations you are solving for the incremental change of the dependent variables. For example you can write a second-order time difference as
du/dt = (3u(n+1 - 4u(n) + u(n-1)/2dt or du/dt = 1.5*(du(n+1) - (1/3)*du(n))/dt where du(n+1) = u(n+1) - u(n), du(n) = u(n) - u(n-1). It's the same equation, but the delta form is better behaved because typically the delta quantities are small changes and the resulting equations are more robust. |
Re: Delta form of equations.
Thanks. I probably used such delta form when solved Poisson's equation for increment of pressure. This is one of steps in SIMPLE-method.
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Re: Delta form of equations.
Hi,
Can you provide some reference. Thanks Apurva |
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