ISSN:
0029-5981
Keywords:
finites elements
;
open boundaries
;
fluid flow
;
natural boundary conditions
;
Sommerfeld raiation condition
;
Navier-Stokes equations
;
Engineering
;
Engineering General
Source:
Wiley InterScience Backfile Collection 1832-2000
Topics:
Mathematics
,
Technology
Notes:
We examine the use of natural boundary conditions and conditions of the Sommerfeld type for finite element simulations of convective transport in viscous incompressible flows. We show that natural boundary conditions are superior in the sense that they always provide a correct boundary condition, as opposed to the Sommerfeld-type conditions, which can lead to a singular formulation and a great loss of accuracy. For the Navier-Stokes equations, the natural boundary conditions must be combined with a simple method to eliminate perturbations on the pressure at the open boundary, which is the source of most errors.
Additional Material:
12 Ill.
Type of Medium:
Electronic Resource
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