Numerical simulation of two-dimensional incompressible viscous ¯ows around an obstacle is considered. Two horizontal straight line arti®cial boundaries are introduced and the original ¯ow is approximated by a ¯ow in an in®nite channel with slip boundary condition on the wall. Then two vertical segme
Well-Posed Boundary Conditions for the Navier--Stokes Equations
✍ Scribed by Nordström, Jan; Svärd, Magnus
- Book ID
- 121494721
- Publisher
- Society for Industrial and Applied Mathematics
- Year
- 2005
- Tongue
- English
- Weight
- 260 KB
- Volume
- 43
- Category
- Article
- ISSN
- 0036-1429
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## Abstract In this paper, we consider incompressible viscous fluid flows with slip boundary conditions. We first prove the existence of solutions of the unsteady Navier–Stokes equations in __n__‐spacial dimensions. Then, we investigate the stability, uniqueness and regularity of solutions in two a
In this paper we investigate new boundary conditions for the incompressible, timèe-dependent Navier-Stokes equation. Especially inflow and outflow conditions are considered. The equations are linearized around a constant flow, so that we can use Laplace-Fourier technique to investigate the strength