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Article Dans Une Revue Journal of the Acoustical Society of America Année : 2018

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

Résumé

A novel 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 [SIAM J. Numer. Anal. 31(4), 1019–1044, (1994)]. It is intrinsically energy-conserving and allows to naturally handle 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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hal-01624959 , version 1 (26-10-2017)

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Roberto Sabatini, Paul Cristini. An immersed interface method for the solution of the standard parabolic equation in range-dependent ocean environments. Journal of the Acoustical Society of America, 2018, 143 (4), pp.EL243. ⟨10.1121/1.5029394⟩. ⟨hal-01624959⟩
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