A fictitious domain decomposition method for the solution of partially axisymmetric acoustic scattering problems. Part 2: Neumann boundary conditions | Zendy

Hetmaniuk U. | Zendy; Farhat C. | Zendy

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A fictitious domain decomposition method for the solution of partially axisymmetric acoustic scattering problems. Part 2: Neumann boundary conditions

Author(s) -

Hetmaniuk U.,

Farhat C.

Publication year - 2003

Publication title -

international journal for numerical methods in engineering

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.421

H-Index - 168

eISSN - 1097-0207

pISSN - 0029-5981

DOI - 10.1002/nme.758

Subject(s) - domain decomposition methods , helmholtz equation , neumann boundary condition , rotational symmetry , boundary value problem , domain (mathematical analysis) , mathematical analysis , partial differential equation , mathematics , scattering , boundary (topology) , physics , geometry , finite element method , optics , thermodynamics

We present a fictitious domain decomposition method for the fast solution of acoustic scattering problems characterized by a partially axisymmetric sound‐hard scatterer. We apply this method to the solution of a mock‐up submarine problem, and highlight its computational advantages and intrinsic parallelism. A key component of our method is an original idea for addressing a Neumann boundary condition in the general framework of a fictitious domain method. This idea is applicable to many other linear partial differential equations besides the Helmholtz equation. Copyright © 2003 John Wiley & Sons, Ltd.

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