A fourth-order scheme for the unsteady compressible Navier-Stokes equations
Abstract
A computational scheme is described which is second-order accurate in time and fourth-order accurate in space (2-4). This method is applied to study the stability of compressible boundary layers. The laminar compressible Navier-Stokes equations are solved with a time harmonic inflow superimposed on the steady state solution. This results in spatially unstable modes. It is shown that the second-order methods are inefficient for calculating the growth rates and phases of the unstable modes. In contrast the fourth-order method yields accurate results on relatively coarse meshes.
- Publication:
-
AIAA, 18th Fluid Dynamics and Plasmadynamics and Lasers Conference
- Pub Date:
- July 1985
- Bibcode:
- 1985fdpd.confR....B
- Keywords:
-
- Compressible Flow;
- Computational Fluid Dynamics;
- Laminar Flow;
- Navier-Stokes Equation;
- Unsteady Flow;
- Amplitude Distribution Analysis;
- Finite Difference Theory;
- Reynolds Number;
- Subsonic Flow;
- Supersonic Boundary Layers;
- Fluid Mechanics and Heat Transfer