Hi there, I'd like to use nektar++ to simulate 3d flow over a circular cylinder. but I'm feeling a little confused about the mesh order of curved boundaries. My puzzle is as follow: If SEM basis is 4-order polynomial, and the mesh, generated by Gmsh, is 3-order. it means the order of base function is higher than mesh order of mesh. is there any inconsistency in this case ? zhicheng
Hi Zhicheng, The library will automatically interpolate the geometry distribution onto whatever expansion basis you use for your simulation, so everything should work from that perspective (indeed we do this quite frequently). In terms of inconsistency, there should only be a very small error introduced by having 3rd vs. 4th order curvature. As the curvature is probably quite mild in this case, the error induced by interpolating to 3rd vs. having a 4th order grid should be fairly minimal. I'd imagine that you'd only notice this by doing some kind of p-convergence study on an elliptic problem. Cheers, Dave On 30 Apr 2015, at 05:20, Zhicheng Wang <wangzhicheng09@gmail.com> wrote:
Hi there, I'd like to use nektar++ to simulate 3d flow over a circular cylinder. but I'm feeling a little confused about the mesh order of curved boundaries. My puzzle is as follow: If SEM basis is 4-order polynomial, and the mesh, generated by Gmsh, is 3-order. it means the order of base function is higher than mesh order of mesh. is there any inconsistency in this case ?
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                David Moxey
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                Zhicheng Wang