Hi

Thanks so much for the fast reply.

I actually tried changing to:
  const Point<2> center (0,0);
  const SphericalManifold<2> boundary_description(center);
  //const StraightBoundary<2> boundary_description;
  //tria.set_all_manifold_ids_on_boundary(0);
  tria.set_manifold (2, boundary_description);
  
  for (typename Triangulation<2>::active_cell_iterator
       cell=tria.begin_active(); cell!=tria.end(); ++cell) {
    for (int fn=0; fn<4; ++fn) {
      auto ctr = cell->face(fn)->center();
      auto x=ctr[0],y=ctr[1];
      if (0.92<std::sqrt(x*x+y*y) && std::sqrt(x*x+y*y)<1. && !cell->
at_boundary()){
        cell->set_all_manifold_ids(2);
        break;
      }
      //if (cell->at_boundary())
        //cell->set_all_manifold_ids(2);
    }
  }
It does give me straight boundary lines as the attachment. But I got the 
following errors after the program wrote the mesh down. Any ideas?


An error occurred in line <128> of file 
</Applications/deal.II-8.5-brew.app/Contents/Resources/brew/src/deal.II-8.5-brew/source/base/subscriptor.cc>
 
in function

    void dealii::Subscriptor::check_no_subscribers() const

The violated condition was: 

    counter == 0

Additional information: 

    Object of class N6dealii17SphericalManifoldILi2ELi2EEE is still used by 
1 other objects.


(Additional information: <none>)


See the entry in the Frequently Asked Questions of deal.II (linked to from 
http://www.dealii.org/) for a lot more information on what this error means 
and how to fix programs in which it happens.


Stacktrace:

-----------

#0  2   libdeal_II.g.8.5.0.dylib            0x000000011e04707c 
_ZNK6dealii11Subscriptor20check_no_subscribersEv + 3660: 2   
libdeal_II.g.8.5.0.dylib            0x000000011e04707c 
_ZNK6dealii11Subscriptor20check_no_subscribersEv 

#1  3   libdeal_II.g.8.5.0.dylib            0x000000011e047292 
_ZN6dealii11SubscriptorD2Ev + 34: 3   libdeal_II.g.8.5.0.dylib            
0x000000011e047292 
_ZN6dealii11SubscriptorD2Ev 

#2  4   libdeal_II.g.8.5.0.dylib            0x000000011e9c96c5 
_ZN6dealii8ManifoldILi2ELi2EED2Ev + 21: 4   libdeal_II.g.8.5.0.dylib        
    0x000000011e9c96c5 _ZN6dealii8ManifoldILi2ELi2EED2Ev 

#3  5   step-49                             0x000000010d18f0c5 
_ZN6dealii17SphericalManifoldILi2ELi2EED2Ev + 21: 5   step-49               
              0x000000010d18f0c5 _ZN6dealii17SphericalManifoldILi2ELi2EED2Ev
 

#4  6   step-49                             0x000000010d18eaf5 
_ZN6dealii17SphericalManifoldILi2ELi2EED1Ev + 21: 6   step-49               
              0x000000010d18eaf5 _ZN6dealii17SphericalManifoldILi2ELi2EED1Ev
 

#5  7   step-49                             0x000000010d18d663 _Z6grid_2v + 
1891: 7   step-49                             0x000000010d18d663 _Z6grid_2v 

#6  8   step-49                             0x000000010d18eb09 main + 9: 8   
step-49                             0x000000010d18eb09 main 

#7  9   libdyld.dylib                       0x00007fffe1c02255 start + 1: 9   
libdyld.dylib                       0x00007fffe1c02255 start 

--------------------------------------------------------


make[3]: *** [CMakeFiles/run] Abort trap: 6

make[2]: *** [CMakeFiles/run.dir/all] Error 2

make[1]: *** [CMakeFiles/run.dir/rule] Error 2

make: *** [run] Error 2

在 2018年3月28日星期三 UTC-7下午10:42:30,Jean-Paul Pelteret写道:
>
> Hi Weixiong,
>
> The issue that you’re seeing here is actually related to a discussion that 
> we’re currently having regarding the behaviour of boundaries and manifolds 
> (and will hopefully be fixed soon in the developer version). You’re hitting 
> the issue discussed here
> https://github.com/dealii/dealii/issues/5931
> and we’re working through a fix for it here
> https://github.com/dealii/dealii/pull/5932
>
> The simple solution is to use a manifold ID that does not coincide with a 
> boundary ID. Since your triangulation is not colourised, all of your 
> boundaries will have an indicator of 0. So try to use a manifold ID of, 
> say, 1. I think that this should fix the issue for you.
>
> I hope this helps.
>
> Best,
> Jean-Paul
>
> On 29 Mar 2018, at 07:13, Weixiong Zheng <zwxn...@gmail.com <javascript:>> 
> wrote:
>
> I changed the strategy that I don't assign manifold first. I merge two 
> triangulations. Then, I loop over cells to see if cell has a side on the 
> merged interior boundary. If so, I set manifold id to it.
>
>   
> const Point<2> center (0,0);
>
> const SphericalManifold<2> boundary_description(center); 
> tria.set_manifold (0, boundary_description); 
> for (typename Triangulation<2>::active_cell_iterator 
>        cell=tria.begin_active(); cell!=tria.end(); ++cell) { 
>   for (int fn=0; fn<4; ++fn) { 
>     auto ctr = cell->face(fn)->center(); 
>     auto x=ctr[0],y=ctr[1]; 
>     if (0.92<std::sqrt(x*x+y*y)<1.) { 
>         cell->set_all_manifold_ids(0); 
>         break; 
>     } 
>   } 
> } 
> tria.refine_global(2);
> The result is super strange that the boundary is also exterior boundary is 
> also curved.
>
> 在 2018年3月28日星期三 UTC-7下午9:00:50,Weixiong Zheng写道:
>>
>> Hi,
>>
>> I just started to try manifold and tria merging functionalities. My 
>> question comes from the problem that I have to merge two curved 
>> triangulations. When refining, how do I make sure the merged boundaries are 
>> still curved?
>>
>> I currently set manifold before merging triangulation but it seems not to 
>> work as desired.
>>
>> See the attachment pls.
>>
>> Thanks for any advice in advance.
>> Weixiong
>>
>
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>
>
>

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