An immersed interface method for the solution of the standard parabolic equation in range-dependent ocean environments | Zendy

Roberto Sabatini | Zendy; Paul Cristini | Zendy

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An immersed interface method for the solution of the standard parabolic equation in range-dependent ocean environments

Author(s) -

Roberto Sabatini,

Paul Cristini

Publication year - 2018

Publication title -

the journal of the acoustical society of america

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.619

H-Index - 187

eISSN - 1520-8524

pISSN - 0001-4966

DOI - 10.1121/1.5029394

Subject(s) - range (aeronautics) , wedge (geometry) , interface (matter) , numerical analysis , computer science , mechanics , mathematical analysis , algorithm , mathematics , geometry , physics , materials science , bubble , maximum bubble pressure method , composite material

A numerical approach for the treatment of irregular ocean bottoms within the framework of the standard parabolic equation is proposed. The present technique is based on the immersed interface method originally developed by LeVeque and Li [(1994). SIAM J. Numer. Anal. 31(4), 1019-1044]. The method conserves energy to high order accuracy and naturally handles generic range-dependent bathymetries, without requiring any additional specific numerical procedure. An illustration of its capabilities is provided by solving the well-known wedge problem.

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