INVESTIGADORES
VIONNET Carlos Alberto
artículos
Título:
On boundary conditions for unbounded flows
Autor/es:
HEINRICH JC; VIONNET CA
Revista:
COMMUNICATIONS IN NUMERICAL METHODS IN ENGINEERING
Editorial:
Wiley & Sons
Referencias:
Lugar: London, UK; Año: 1995 vol. 11 p. 179 - 185
ISSN:
1069-8299
Resumen:
We examine a method to impose boundary conditions on arbitrary boundaries, introduced to make domains of infinite extent finite for the purpose of numerical calculations, when a finite element discretization based on linear, bilinear or trilinear elements is used, in one, two or three dimensions, respectively. In particular, we look at the so-called free boundary condition, which consists in retaining the boundary integrals generated by the weighted-residuals formulation along the open boundaries and adding them to the stiffness matrix. We show that this procedure is exactly equivalent to imposing on the boundary nodes a Sommerfeld radiation condition in one dimension, and a slightly modified form of the Sommerfeld boundary condition in two and three dimensions. We also show that the procedure is not applicable to the purely elliptic case.
