An immersed interface method for the solution of the standard parabolic equation in range-dependent ocean environments
Overview & Synopsis
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), 1019โ1044, (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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Document Information
| Document Title | An immersed interface method for the solution of the standard parabolic equation in range-dependent ocean environments |
|---|---|
| Author / Organization | Roberto Sabatini, Paul Cristini |
| Subject & Discipline | Multidisciplinary Academic Open Research |
| Categories | Science & Mathematics |
| Publication Year | 2018 |
| License / Rights | Open Access / Creative Commons |
| Resource Verification | Listed PDF (Verification Pending) |
| Original Host Website |
HAL Open Science
(hal.science)
|
| File Format | application/pdf (Portable Document Format) |
| Language | EN |
| Catalog ID | DOC-196202 |
| Original Source Link | Visit Source Page on hal.science » |