On the suboptimal accuracy of summation-by-parts schemes with non-conforming block interfaces
نویسندگان
چکیده
We derive a bound on the order of accuracy for interpolation schemes used in energy stable summation-by-parts discretizations on non-conforming multiblock grids. This result explains the suboptimal accuracy of such schemes reported in previous works. Numerical simulations confirm a corresponding reduced convergence rate in both maximum and L2 norms.
منابع مشابه
An analysis of non-conforming grid techniques for high order summation-by-parts metods
We derive a bound on the order of accuracy of interpolation operators for energy stable summation-by-parts discretizations on non-conforming multiblock meshes. The new theoretical result, which corroborate with experience from previous work, implies a local reduction in the formal accuracy of summation-by-parts discretizations based on diagonal norms. Numerical results confirm a corresponding r...
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