In this paper a boundary problem is considered for which the boundary is to be determined as part of the solution. A time-dependent problem involving linear di usion in two spatial dimensions which results in a moving free boundary is posed. The fundamental solution is introduced and Green's Theorem
Numerical solution of a free surface problem by a boundary element method
β Scribed by Joyce M. Aitchison; Andreas Karageorghis
- Publisher
- John Wiley and Sons
- Year
- 1988
- Tongue
- English
- Weight
- 322 KB
- Volume
- 8
- Category
- Article
- ISSN
- 0271-2091
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β¦ Synopsis
This paper describes a method for the numerical solution of a Riabouchinsky cavity flow. Application of a boundary element method leads to a system of non-linear equations. The mild singularity appearing at the separation point is treated with the introduction of a curved boundary element, which satisfies the exact behaviour of the free boundary in that neighbourhood.
π SIMILAR VOLUMES
## Communicated by J. C. NeΒ΄deΒ΄lec A boundary element method is introduced to approximate the solution of a scattering problem for the Helmholtz equation with a generalized Fourier-Robin-type boundary condition given by a second-order elliptic differential operator. The formulation involves three