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discretization of simplified NV eq.

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Old   October 4, 2017, 11:15
Default discretization of simplified NV eq.
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vidaa
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Hi.
There is an eq. that it has 3 variables: time, radius and pressure.

∂P/∂r+ c/r^2 . ∂r/∂t+ (c^2+2c)/r^3 =0

In each time step, the radius and subsequently the pressure differ.
Please help me for discretization of this eq.

Best regards.
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Old   October 4, 2017, 11:24
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Filippo Maria Denaro
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Quote:
Originally Posted by vidaa View Post
Hi.
There is an eq. that it has 3 variables: time, radius and pressure.

∂P/∂r+ c/r^2 . ∂r/∂t+ (c^2+2c)/r^3 =0

In each time step, the radius and subsequently the pressure differ.
Please help me for discretization of this eq.

Best regards.
Your equation is not clear and need an equation for P (does it depend on t?), too. If r=r(t), you have an ODE once the term ∂P/∂r is fixed.

You should post the source where the equations are written
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Old   October 4, 2017, 13:57
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Thank you for your reply.
The pressure in outer surface is given and is constant.
At t=0, ∂P/∂r = 0. Thus r(t=0) is certain.
There is no other B.C.
Can I guess and use reciprocative methods?

Thanks alot.
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