The barotropic compressible Navier᎐Stokes equations in an unbounded domain Ž . Ž . are studied. We prove the unique existence of the solution u, p of the system 1.1 in the Sobolev space H kq 3 = H kq 2 provided that the derivatives of the data of the problem are sufficiently small, where k G 0 is an
✦ LIBER ✦
Inflow and outflow boundary conditions in the finite element solution of the streamfunction-vorticity equations
✍ Scribed by Manzan, M. ;Comini, G.
- Publisher
- John Wiley and Sons
- Year
- 1995
- Tongue
- English
- Weight
- 465 KB
- Volume
- 11
- Category
- Article
- ISSN
- 1069-8299
No coin nor oath required. For personal study only.
✦ Synopsis
The appropriate specification of boundary conditions is the main difficulty in the finite element solution of the streamfunction-vorticity equations for two-dimensional incompressible laminar flows. In this context, we show that the appropriate specification of both the outflow and the inflow boundary conditions is required for the successful modelling of two well known test problems.
KEY WORDS boundary conditions; streamfunction-vorticity equations
) is the streamfunction, x and y are Cartesian co-ordinates, u = a$/ay CCC 0748-80251 95/0 1003 3-08 0 1995 by John Wiley & Sons, Ltd.
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