A consistent finite difference derivation for the Navier Stokes equations
Abstract
A consistent finite difference procedure for the Navier Stokes equations has been developed which offers the prospect of significantly reducing the number of grid points required for an accurate solution. The method captures shocks in one grid point and is shown to be applicable for a very wide range of Reynolds numbers. Several Burger's and 1-D Navier Stokes shocks are computed to show the ability of the scheme to give a monotonic solution with very coarse grid spacing. In addition, the method is shown to have a much wider stability range than central differencing.
- Publication:
-
AIAA, Aerospace Sciences Meeting
- Pub Date:
- January 1982
- Bibcode:
- 1982aiaa.meetV....R
- Keywords:
-
- Burger Equation;
- Computational Fluid Dynamics;
- Finite Difference Theory;
- Navier-Stokes Equation;
- Reynolds Number;
- Shock Waves;
- Continuity Equation;
- Inviscid Flow;
- One Dimensional Flow;
- Subsonic Flow;
- Two Dimensional Flow;
- Fluid Mechanics and Heat Transfer