Jasak's Ueqn.

sharonyue · September 15, 2013, 22:44

Hi guys,

$\begin{array}{l} {a_p}{u_p} = \sum {{a_n}{u_n} - \nabla p,} \\ {a_p}{u_p} = \sum {{a_n}{u_n} - \int {\nabla p} dv} \end{array}$

The first one in the famous Ueqn in Jasak's thesis. but isn't it should be the below one?

Thanks in advance.

Bernhard · September 16, 2013, 01:41

It would help if you give a more specific reference (i.e. equation number)

sharonyue · September 16, 2013, 04:15

Quote:

Originally Posted by sharonyue

Hi guys,

$\begin{array}{l} {a_p}{u_p} = \sum {{a_n}{u_n} - \nabla p,} \\ {a_p}{u_p} = \sum {{a_n}{u_n} - \int {\nabla p} dv} \end{array}$

The first one in the famous Ueqn in Jasak's thesis. but isn't it should be the below one?

Thanks in advance.

Quote:

Originally Posted by Bernhard

It would help if you give a more specific reference (i.e. equation number)

Its in his Ph.D. thesis page 145, 3.136.
I think its not correct, it should be:
${a_p}{u_p} = \sum {{a_n}{u_n} - \nabla p_f}$
While it does not matter..do you think so?

sharonyue · September 23, 2013, 10:20

my bad. $\int {\nabla p} dv .................. \nabla p_f$
Jasak is rite, its a kind of semi-discretised form of equation. the pressure gradient is not discretised at this stage.

September 15, 2013, 22:44	Jasak's Ueqn.	#1
sharonyue Senior Member Dongyue Li Join Date: Jun 2012 Location: Beijing, China Posts: 838 Rep Power: 17	Hi guys, $\begin{array}{l} {a_p}{u_p} = \sum {{a_n}{u_n} - \nabla p,} \\ {a_p}{u_p} = \sum {{a_n}{u_n} - \int {\nabla p} dv} \end{array}$ The first one in the famous Ueqn in Jasak's thesis. but isn't it should be the below one? Thanks in advance. Last edited by sharonyue; September 15, 2013 at 23:46.

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September 16, 2013, 01:41		#2
Bernhard Senior Member Bernhard Join Date: Sep 2009 Location: Delft Posts: 790 Rep Power: 21	It would help if you give a more specific reference (i.e. equation number)

September 23, 2013, 10:20		#4
sharonyue Senior Member Dongyue Li Join Date: Jun 2012 Location: Beijing, China Posts: 838 Rep Power: 17	my bad. $\int {\nabla p} dv .................. \nabla p_f$ Jasak is rite, its a kind of semi-discretised form of equation. the pressure gradient is not discretised at this stage.