Hi Bangerth,
Thanks for your answering. Here I have a 2D domain and the
phase-field model is complicated, so I have simplify the equations just
like as follow:
<https://lh3.googleusercontent.com/-pJen-0_kmqY/WNoiYXllmTI/AAAAAAAAABY/wsEi5xvvBKUCK-ET3-iY3Hr9s-BOxH6lACLcB/s1600/QQ%25E6%2588%25AA%25E5%259B%25BE20170328164353.bmp>
For both variable \phi and u, zero-flux Neumann boundary conditions
are imposed. Owing to the symmetic domain like the following picture, I
want to just computation on half of the domain and the results can be
mirrored to the other half. However, I have no idea on how to impose the
symmetric boundary condition on the y-axis if I only use half of the whole
domain to carry out the simulation. For example, the whole domain is a
square whose center is located at origin, here I just computation on the
domain satisfying x > 0 and the symmetric boundary condition should be
imposed on the boundary satisfying x = 0.
<https://lh3.googleusercontent.com/-Iv-iClUH_b4/WNokzk5bOVI/AAAAAAAAABk/TjYhaP2NXvwbrC5O_P0Ne8a9R-nqSx6iACLcB/s1600/QQ%25E6%2588%25AA%25E5%259B%25BE20170328164353.bmp>
在 2017年3月28日星期二 UTC+8上午2:38:20，Wolfgang Bangerth写道：
>
> On 03/26/2017 11:52 PM, [email protected] <javascript:> wrote:
> > Recently I'm working on the phase-field simulation of dendritic
> > growth by deal.II and I want to make the simulation carried out on only
> > half of the domain due to the symmetry of the problem with respect to
> > the vertical axis to improve computational efficiency. So how to impose
> > such sysmmetric boundary conditions on the axis of symmetric of a 2D
> > comptation domain?
>
> That depends on the equation and on what you actually want to do. Do you
> have a 2d domain and only want to simulate half of it, or a 3d
> axisymmetric domain for which you only want to simulate in r-z space?
>
> Best
> W.
>
> --
> ------------------------------------------------------------------------
> Wolfgang Bangerth email: [email protected]
> <javascript:>
> www: http://www.math.colostate.edu/~bangerth/
>
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