Unified formulation of radiation conditions for the wave equation
β Scribed by Steen Krenk
- Publisher
- John Wiley and Sons
- Year
- 2001
- Tongue
- English
- Weight
- 559 KB
- Volume
- 53
- Category
- Article
- ISSN
- 0029-5981
- DOI
- 10.1002/nme.268
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π SIMILAR VOLUMES
A modiΓΏed version of an exact Non-re ecting Boundary Condition (NRBC) ΓΏrst derived by Grote and Keller is implemented in a ΓΏnite element formulation for the scalar wave equation. The NRBC annihilate the ΓΏrst N wave harmonics on a spherical truncation boundary, and may be viewed as an extension of th
Asymptotic and exact local radiation boundary conditions (RBC) for the scalar time-dependent wave equation, ΓΏrst derived by Hagstrom and Hariharan, are reformulated as an auxiliary Cauchy problem for each radial harmonic on a spherical boundary. The reformulation is based on the hierarchy of local b
We describe a new, efficient approach to the imposition of exact nonreflecting boundary conditions for the scalar wave equation. We compare the performance of our approach with that of existing methods by coupling the boundary conditions to finite-difference schemes. Numerical experiments demonstrat