Application of a polynomial spline in higher-order accurate viscous-flow computations
Abstract
The quartic spline S(4,2) developed in this study overcomes some of the difficulties experienced by the authors in using spline S(5,3) or S(3,1) and provides fourth-order accurate results with relatively few grid points. In the course of this study, many more detailed numerical results have been generated than could be included in the present paper with its space limitations. These results are presently being assembled [12] and should provide detailed quantitative assessment of the various schemes examined for the model problems considered here. The accuracy of spline S(4,2) is comparable to, if not better than, that of the fourth-order box scheme and compact differencing scheme. This study suggests the use of spline S(4,2) as a potential means for fourth-order accurate solutions of Navier-Stokes equations.
- Publication:
-
Numerical Methods in Fluid Dynamics
- Pub Date:
- 1982
- DOI:
- 10.1007/3-540-11948-5_65
- Bibcode:
- 1982LNP...170..499T
- Keywords:
-
- Computational Fluid Dynamics;
- Spline Functions;
- Viscous Flow;
- Boundary Layer Flow;
- Burger Equation;
- Laminar Boundary Layer;
- Laplace Equation;
- Navier-Stokes Equation;
- Fluid Mechanics and Heat Transfer