Some new methods for numerically solving the compressible laminar boundary layer equations
Abstract
Four methods for numerically solving the compressible laminar boundary layer equations are presented. These are: (1) a method of accelerating the truncation error convergence, (2) a fourth and fifth order difference scheme for discretizing the normal partial derivatives, (3) high order quadrature formulae for integrating a stream function, and (4) a third order implicit scheme for treating the streamwise partial derivatives. It is concluded that these methods can effectively find solutions to boundary layer equations in which the step sizes are adaptively altered to meet an error bound.
- Publication:
-
International Journal for Numerical Methods in Fluids
- Pub Date:
- September 1986
- DOI:
- 10.1002/fld.1650060905
- Bibcode:
- 1986IJNMF...6..623F
- Keywords:
-
- Boundary Layer Equations;
- Compressible Boundary Layer;
- Computational Fluid Dynamics;
- Navier-Stokes Equation;
- Stream Functions (Fluids);
- Truncation Errors;
- Crank-Nicholson Method;
- Finite Difference Theory;
- Primitive Equations;
- Runge-Kutta Method;
- Fluid Mechanics and Heat Transfer