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Momentum Source Term in SIMPLER Algorithm

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Old   June 12, 2016, 12:46
Default Momentum Source Term in SIMPLER Algorithm
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Hello all,

I am trying to write a code based on SIMPLER algorithm of Patankar by following the book of Versteeg. There is no source term for my study, I am imposing the exact values of the boundary points on a staggered grid. Do i still need to define any value to the b (momentum source term) in the momentum equation or it is just needed for implementing boundary conditions?

a_{e}U_{e}=\sum_{nb}a_{nb}U_{nb}+b+\left(p_{P}-p_{E}\right)A_{e}

Any idea will be greatly appreciated,

Thanks in advance
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Old   June 12, 2016, 15:10
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If there is no force for example say gravity etc, then b is 0.


Quote:
Originally Posted by ravachol View Post
Hello all,

I am trying to write a code based on SIMPLER algorithm of Patankar by following the book of Versteeg. There is no source term for my study, I am imposing the exact values of the boundary points on a staggered grid. Do i still need to define any value to the b (momentum source term) in the momentum equation or it is just needed for implementing boundary conditions?

a_{e}U_{e}=\sum_{nb}a_{nb}U_{nb}+b+\left(p_{P}-p_{E}\right)A_{e}

Any idea will be greatly appreciated,

Thanks in advance
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Old   June 15, 2016, 08:17
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Thank you very much Arjun,

I am using air as working fluid, so I will neglect the weight of the fluid. Then the two dimensional momentum equation for this case would be:

a_{p}U_{p}=a_{w}U_{w}+a_{e}U_{e}+a_{n}U_{n}+a_{s}U_{s}+\left(p_{P}-p_{E}\right)A_{e}
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finite volume, pressure and velocity, simple, simple algorithm, staggered grid

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