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Coefficients in Simple algorithm with staggered mesh.

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Old   January 22, 2015, 02:35
Question Coefficients in Simple algorithm with staggered mesh.
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Felipe Muñoz Flores
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I am programming SIMPLE algorithm with a staggered mesh in 2D. According to the Patankar's Book, first I have to solve the momentum equations for u* and v* for a given pressure fiel p* (eq 6.8 and 6.9, page 122), but i dont know where the neighbor coefficients a_n en y direction are placed for u momentum eq. and coefficients in x direction for v momentum eq. These coefficients depends of the diffusion and mass flux terms which falls in the middle of control volume where I don't have grid points.
I hope you understand me, thank you very much.
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Old   January 22, 2015, 09:17
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Quote:
Originally Posted by pipenx View Post
I am programming SIMPLE algorithm with a staggered mesh in 2D. According to the Patankar's Book, first I have to solve the momentum equations for u* and v* for a given pressure fiel p* (eq 6.8 and 6.9, page 122), but i dont know where the neighbor coefficients a_n en y direction are placed for u momentum eq. and coefficients in x direction for v momentum eq. These coefficients depends of the diffusion and mass flux terms which falls in the middle of control volume where I don't have grid points.
I hope you understand me, thank you very much.
Dear friends:
any coefficient on the interface is interpolated from its neighbor nodes.
you may have a look at the patankar's book, about the "harmonic interpolation" of the diffusion coefficients.
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Old   January 22, 2015, 13:29
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Thanks, effectively I am calculating the coefficients by harmonic interpolation. For the momentum eq. for u i don't have any problem for eE and eW coefficients because these are located in E and P nodos of the non staggered grid but for the case eN and eS I don't understand where i have to calculated de coefficients. I appreciate your help.
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Old   January 22, 2015, 19:16
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Originally Posted by pipenx View Post
Thanks, effectively I am calculating the coefficients by harmonic interpolation. For the momentum eq. for u i don't have any problem for eE and eW coefficients because these are located in E and P nodos of the non staggered grid but for the case eN and eS I don't understand where i have to calculated de coefficients. I appreciate your help.
hope this helpy you.
use the concept of the "parallel heat transfer resistance theory "and "serial heat transfer resistance theroy"
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