Higher-order difference approximations of the Navier-Stokes equations
✍ Scribed by Paolo Luchini
- Publisher
- John Wiley and Sons
- Year
- 1991
- Tongue
- English
- Weight
- 965 KB
- Volume
- 12
- Category
- Article
- ISSN
- 0271-2091
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📜 SIMILAR VOLUMES
We study centered finite difference methods of general order of accuracy \(2 p\). Boundary points are approximated by one sided operators. We give boundary operators which are stable for the linear advection equation. In cases where the approximation is unstable, we show how stability can be recover
## Abstract We develop an efficient fourth‐order finite difference method for solving the incompressible Navier–Stokes equations in the vorticity‐stream function formulation on a disk. We use the fourth‐order Runge–Kutta method for the time integration and treat both the convection and diffusion te