On the Suboptimal Accuracy of Summation-by-parts Schemes with Non-conforming Block Interfaces

• We derive a bound on the formal accuracy of interpolation schemes for energy stable summation-by-parts discretizations on non-conforming multiblock grids. This result explains the suboptimal accuracy for such schemes reported in previous works. Numerical simulations confirm a corresponding reduced convergence rate in both maximum and L2 norms.

Ämnesord

NATURVETENSKAP  -- Matematik -- Beräkningsmatematik (hsv//swe)

NATURAL SCIENCES  -- Mathematics -- Computational Mathematics (hsv//eng)

Nyckelord

Summation-by-parts

High order finite difference methods

Multi-block discretizations

Interpolation operators.

Publikations- och innehållstyp

vet (ämneskategori)

rap (ämneskategori)