An attempt to apply cubic splines to the numerical integration of the Navier-Stokes equations for a compressible gas
Abstract
A spline/finite-difference scheme is used for the numerical integration of the equations of the one-dimensional unsteady motion of a compressible viscous heat-conducting gas. In this scheme, the spatial derivatives are approximated using cubic splines, while the time derivatives are approximated using finite differences. The reflection of a viscous shock wave from a heat-insulated wall is considered as an example.
- Publication:
-
The Dynamics of Homogeneous and Inhomogeneous Media
- Pub Date:
- 1987
- Bibcode:
- 1987dhim.rept...85T
- Keywords:
-
- Compressible Fluids;
- Computational Fluid Dynamics;
- Gas Dynamics;
- Numerical Integration;
- Spline Functions;
- Conductive Heat Transfer;
- Cubic Equations;
- Finite Difference Theory;
- Navier-Stokes Equation;
- Unsteady Flow;
- Viscous Flow;
- Fluid Mechanics and Heat Transfer