An attempt to apply cubic splines to the numerical integration of the NavierStokes equations for a compressible gas
Abstract
A spline/finitedifference scheme is used for the numerical integration of the equations of the onedimensional unsteady motion of a compressible viscous heatconducting 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 heatinsulated 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;
 NavierStokes Equation;
 Unsteady Flow;
 Viscous Flow;
 Fluid Mechanics and Heat Transfer