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-   -   References for implementation of time dependent Robin BC (https://www.cfd-online.com/Forums/main/118252-references-implementation-time-dependent-robin-bc.html)

 vetnav May 23, 2013 12:05

References for implementation of time dependent Robin BC

For a scalar T, the standard robin BC can be written as

alpha * (partial T/ partial Y) + beta * T = gamma

where alpha, beta and gamma are either constants or functions of space/time. In the above equation 'Y' is the independent space variable.

I am looking for a reference which discusses the implementation of slightly different condition, hope I am not wrong in calling it Robin BC. The BC of my interest is as follows

alpha * (partial T/ partial Y) + beta * (partial T/ partial t) = gamma

where 't' is time.

I appreciate your response.

Thank you

 FMDenaro May 23, 2013 13:04

Quote:
 Originally Posted by vetnav (Post 429556) For a scalar T, the standard robin BC can be written as alpha * (partial T/ partial Y) + beta * T = gamma where alpha, beta and gamma are either constants or functions of space/time. In the above equation 'Y' is the independent space variable. I am looking for a reference which discusses the implementation of slightly different condition, hope I am not wrong in calling it Robin BC. The BC of my interest is as follows alpha * (partial T/ partial Y) + beta * (partial T/ partial t) = gamma where 't' is time. I appreciate your response. Thank you

but your (partial T/ partial t) depends on your governing equation ... therefore you can substitute the the term evaluating on the boundary

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