An analysis of non-conforming grid techniques for high order summation-by-parts metods
نویسندگان
چکیده
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 reduction in convergence rate in both the maximum norm and the discrete L2 norm for a hyperbolic model problem.
منابع مشابه
On the suboptimal accuracy of summation-by-parts schemes with non-conforming block interfaces
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