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Matched interface and boundary (MIB) for the implementation of boundary conditions in high‐order central finite differences

Matched interface and boundary (MIB) for the implementation of boundary conditions in high‐order central finite differences

Abstract High‐order central finite difference schemes encounter great difficulties in implementing complex boundary conditions. This paper introduces the matched interface and boundary (MIB) method as a novel boundary scheme to treat various general boundary conditions in arbitrarily high‐order central finite difference schemes. To attain arbitrarily high order, the MIB method …