An improved high order finite difference method for non-conforming grid interfaces for the wave equation

Siyang Wang

Published 2017-02-07Version 1

This paper is an extension of a recently developed high order finite difference method for the wave equation on a grid with non-conforming interfaces. The stability proof of the previous method relies on the interface operators being norm-contracting, which is satisfied by the second and fourth order operators, but not by the sixth order operator. In this paper, we present a new way of numerical interface couplings to remove the norm-contracting requirement, so that the sixth order accurate scheme is also provably stable. Numerical experiments demonstrate the improved stability and accuracy property.