Identifier: 2008-14
Author(s): M.H. Carpenter, J. Nordstrom, and D. Gottlieb
Title: Revisiting and extending interface penalties for multi-domain summation-by-parts operators
Page count: 51 pp.
Date: 2008-01-01
Abstract:
General interface coupling conditions are presented for multi-domain collocation methods, which satisfy the summation-by-parts (SBP) spatial discretization convention. The combined interior/interface operators are proven to be L2 stable, pointwise stable, and conservative, while maintaining the underlying accuracy of the interior SBP operator. The new interface conditions bare a close resemblance (were motivated by) to those used in the discontinuous Galerkin Finite-element community, and maintain many of the same properties. Extensive validation studies are presented using two classes of high-order SBP operators: 1) central finite-difference, and 2) Legendre spectral collocation.
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