Non-local boundary conditions for high-order parabolic equation algorithms

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Authors
  1. Brooke, G.H.
  2. Thomson, D.J.
Corporate Authors
Defence Research Establishment Atlantic, Dartmouth NS (CAN)
Abstract
Numerical parabolic equaiton (PE) solvers for underwater sound propagation usually approximate the subbottom radiation condition by appending an absorbing layer to the computational mesh. An alternative procedure uses a non-local boundary condition (NLBC) applied along (or below) the sea-bottom interface to transform the semi-infinite PE configuration exactly into an equivalent bounded domain. In this paper, we analyze NLBCs that are expressed in terms of plane-wave reflection coefficients and describe their implementation in the context of high-order Pade-based PE algorithms. In particular, we develop non-local boundary conditions to account for the coherent losses due to scattering by a statistically-rough sea surface. Several numerical examples are presented to illustrate the numerical implementation of NLBCs for high-order PEs.
Keywords
Non-local boundary condiction (NLBC);Pade approximants;Absorbing layer;Plane waves;Sea surface;Boundary conditions
Report Number
DREA-SL-1999-123 — Paper
Date of publication
01 Aug 1999
Number of Pages
15
Reprinted from
Wave Motion, vol 31, 2000, p 117-129
DSTKIM No
CA010139
CANDIS No
514689
Format(s):
Hardcopy;Document Image stored on Optical Disk

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