Thanks for the response! I've read some articles that the governing equation (advection + diffusion) is unstable when it has large Peclet number. (Even though it has diffusion term.)
What I am concerning is that it is how to imply SUPG stabilization method in deal.ii., because my future problem will include advection-diffusion term.... In SUPG, people are considering residual term* ( b dot nabla - c nabla^2 u -f )* .. and I thought this is very closely related to step-9 formation. But I am not still sure to assemble residual term in my weak form... <https://lh3.googleusercontent.com/-GaCm8gKtkbo/WUG4-V3gUHI/AAAAAAAABCY/Htb_Gj81w-Y2Rc0pRogCsETEgNeBn7njACLcBGAs/s1600/Screen%2BShot%2B2017-06-14%2Bat%2B5.28.08%2BPM.png> 2017년 6월 14일 수요일 오후 3시 40분 50초 UTC-5, Bruno Turcksin 님의 말: > > Jaekwang, > > in step-9 the test function is a little bit strange because if you use > continuous finite element to discretize the advection equation, the scheme > is unstable. So you basically add a diffusion term to the equation to > stabilize the scheme. However, your equation already has a diffusion term > so you may not need a stabilization term. > > Best, > > Bruno > > On Wednesday, June 14, 2017 at 3:33:18 PM UTC-4, Jaekwang Kim wrote: >> >> >> <https://lh3.googleusercontent.com/-qsDNe2Fge5w/WUGPdbVCfRI/AAAAAAAABCI/egHPb83UKLIjnTGxmMfHiI4ZKGgXq4FhgCLcBGAs/s1600/Screen%2BShot%2B2017-06-14%2Bat%2B2.32.45%2BPM.png> >> >> >> -- The deal.II project is located at http://www.dealii.org/ For mailing list/forum options, see https://groups.google.com/d/forum/dealii?hl=en --- You received this message because you are subscribed to the Google Groups "deal.II User Group" group. To unsubscribe from this group and stop receiving emails from it, send an email to dealii+unsubscr...@googlegroups.com. For more options, visit https://groups.google.com/d/optout.
