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Showing results 1 to 10 of 10 Search took 0.00 seconds. Search: Posts Made By: Simbelmynë

Forum: Main CFD Forum October 17, 2012, 13:08

Replies: 18 Linearization of implicit terms Views: 1,384 Posted By Simbelmynë Thank you this is in accordance with my own... Thank you this is in accordance with my own simulations (as stated in my original post). So as usual, there are no shortcuts :)

Forum: Main CFD Forum October 17, 2012, 06:44

Replies: 18 Linearization of implicit terms Views: 1,384 Posted By Simbelmynë Really? Isn't a zero gradient condition used in... Really? Isn't a zero gradient condition used in such cases? I would rather use the above condition if the variables are given on the boundary and the computational nodes do not coincide with the...

Forum: Main CFD Forum October 17, 2012, 04:25

Replies: 18 Linearization of implicit terms Views: 1,384 Posted By Simbelmynë I think I get your points now. Thank you. ... I think I get your points now. Thank you. For instance if I would have put T^{n+1} = T^{n} that would correspond to setting the first derivative to zero. So, is it possible to express ...

Forum: Main CFD Forum October 16, 2012, 18:08

Replies: 18 Linearization of implicit terms Views: 1,384 Posted By Simbelmynë Ok, thank you. To me it just says that I set the... Ok, thank you. To me it just says that I set the second derivative to zero if I wish to maintain fourth order accuracy. However, being semi-smart I realize that after three people here trying to...

Forum: Main CFD Forum October 16, 2012, 04:53

Replies: 18 Linearization of implicit terms Views: 1,384 Posted By Simbelmynë Ok, I might do this wrong because I don't see... Ok, I might do this wrong because I don't see your point here, but here goes: T^{n+1}_{i} = T^{n}_{i} + \left(\frac {\partial T}{\partial t}\right)^{n}_{i}\Delta t + HOT...O(\Delta t)^{2} ...

Forum: Main CFD Forum October 16, 2012, 03:17

Replies: 18 Linearization of implicit terms Views: 1,384 Posted By Simbelmynë I am sorry I have no idea what you mean with... I am sorry I have no idea what you mean with \approx or \equal in this context. Is it possible for you to show what you mean? Thank you.

Forum: Main CFD Forum October 15, 2012, 15:39

Replies: 18 Linearization of implicit terms Views: 1,384 Posted By Simbelmynë Thank you for the input. Perhaps what I try to do... Thank you for the input. Perhaps what I try to do is not valid (but it still works ;)), here is some further explanation. T^{n+1}_{i} = T^{n}_{i} + \left(\frac {\partial T}{\partial...

Forum: Main CFD Forum October 15, 2012, 13:50

Replies: 18 Linearization of implicit terms Views: 1,384 Posted By Simbelmynë I don't think that I follow how I force the... I don't think that I follow how I force the second derivative in time to be zero. What I did was approximate the original equation using a forward difference for the time derivative and assuming the...

Forum: Main CFD Forum October 15, 2012, 13:08

Replies: 18 Linearization of implicit terms Views: 1,384 Posted By Simbelmynë Hey, thank you for your reply. I am aware of how... Hey, thank you for your reply. I am aware of how to solve the system implicitly, but I wish to solve it explicitly (not necessarily the 1d heat equation, but that is good enough for the example) and...

Forum: Main CFD Forum October 15, 2012, 09:50

Replies: 18 Linearization of implicit terms Views: 1,384 Posted By Simbelmynë Linearization of implicit terms Hey, If we discretize the (1d) heat equation implicitly. Is it possible to approximate some of the implicit terms using known values in time as follows \frac{T^{n+1}_{i}-T^{n}_{i}}{\Delta} =...

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